
Time bar (total: 16.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 1.6% | 98.4% | 0% | 0% | 0% | 0 |
| 0% | 0% | 1.6% | 98.4% | 0% | 0% | 0% | 1 |
| 0% | 0% | 1.6% | 98.4% | 0% | 0% | 0% | 2 |
| 0% | 0% | 1.6% | 98.4% | 0% | 0% | 0% | 3 |
| 0% | 0% | 1.6% | 98.4% | 0% | 0% | 0% | 4 |
| 25% | 0.4% | 1.2% | 98.4% | 0% | 0% | 0% | 5 |
| 37.5% | 0.6% | 1% | 98.4% | 0% | 0% | 0% | 6 |
| 56.2% | 0.9% | 0.7% | 98.4% | 0% | 0% | 0% | 7 |
| 65.6% | 1% | 0.5% | 98.4% | 0% | 0% | 0% | 8 |
| 76.6% | 1.2% | 0.4% | 98.4% | 0% | 0% | 0% | 9 |
| 82% | 1.3% | 0.3% | 98.4% | 0% | 0% | 0% | 10 |
| 87.9% | 1.4% | 0.2% | 98.4% | 0% | 0% | 0% | 11 |
| 90.8% | 1.4% | 0.1% | 98.4% | 0% | 0% | 0% | 12 |
Compiled 53 to 32 computations (39.6% saved)
| 2.1s | 8 256× | 0 | valid |
ival-div: 580.0ms (32% of total)ival-exp: 269.0ms (14.9% of total)const: 240.0ms (13.3% of total)ival-log: 120.0ms (6.6% of total)ival-add: 113.0ms (6.2% of total)ival-sub: 101.0ms (5.6% of total)ival-neg: 99.0ms (5.5% of total)ival-mult: 97.0ms (5.4% of total)ival-<=: 91.0ms (5% of total)ival-pi: 65.0ms (3.6% of total)ival-and: 24.0ms (1.3% of total)exact: 8.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| 2× | egg-herbie |
| 788× | accelerator-lowering-fma.f32 |
| 788× | accelerator-lowering-fma.f64 |
| 502× | unsub-neg |
| 452× | sub-neg |
| 436× | distribute-rgt-in |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 228 |
| 1 | 126 | 222 |
| 2 | 282 | 221 |
| 3 | 814 | 182 |
| 4 | 1566 | 170 |
| 5 | 2543 | 166 |
| 6 | 3465 | 166 |
| 7 | 3900 | 166 |
| 8 | 4097 | 166 |
| 9 | 4281 | 166 |
| 10 | 4686 | 166 |
| 11 | 4723 | 166 |
| 12 | 4738 | 166 |
| 13 | 4740 | 166 |
| 14 | 4740 | 166 |
| 0 | 21 | 37 |
| 1 | 40 | 37 |
| 2 | 71 | 37 |
| 3 | 136 | 31 |
| 4 | 207 | 31 |
| 5 | 327 | 28 |
| 6 | 479 | 28 |
| 7 | 694 | 28 |
| 8 | 961 | 28 |
| 9 | 1114 | 28 |
| 10 | 1169 | 28 |
| 11 | 1187 | 28 |
| 12 | 1208 | 28 |
| 13 | 1216 | 28 |
| 14 | 1218 | 28 |
| 0 | 1218 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
| Outputs |
|---|
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(fma.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) #s(literal 0 binary32)) |
| Inputs |
|---|
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(* (neg s) (log (- (/ 1 (+ (* (neg u) (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(* (neg (neg s)) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) (neg s))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) 1))) |
(neg (* (neg s) (log (- (/ 1 (+ (* (neg u) (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))) |
(neg (* (neg (neg s)) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) (neg s))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) 1)))) |
(* (neg u) (log (- (/ 1 (+ (* s (- (/ 1 (+ 1 (exp (/ (neg (PI)) u)))) (/ 1 (+ 1 (exp (/ (PI) u)))))) (/ 1 (+ 1 (exp (/ (PI) u)))))) 1))) |
| Outputs |
|---|
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) (neg s))))) (/ (- 1 u) (+ 1 (exp (/ (PI) s)))))) -1))) |
(* (neg s) (log (- (/ 1 (+ (* (neg u) (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(* (neg s) (log (+ (/ 1 (+ (/ u (- -1 (exp (/ (PI) (neg s))))) (/ (+ 1 u) (+ 1 (exp (/ (PI) s)))))) -1))) |
(* (neg (neg s)) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) (neg s))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) 1))) |
(* s (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) s)))) (/ (- 1 u) (+ 1 (exp (/ (PI) (neg s))))))) -1))) |
(neg (* (neg s) (log (- (/ 1 (+ (* (neg u) (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))) |
(* s (log (+ (/ 1 (+ (/ u (- -1 (exp (/ (PI) (neg s))))) (/ (+ 1 u) (+ 1 (exp (/ (PI) s)))))) -1))) |
(neg (* (neg (neg s)) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) (neg s))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) (/ 1 (+ 1 (exp (/ (PI) (neg s))))))) 1)))) |
(* (neg s) (log (+ (/ 1 (+ (/ u (+ 1 (exp (/ (PI) s)))) (/ (- 1 u) (+ 1 (exp (/ (PI) (neg s))))))) -1))) |
(* (neg u) (log (- (/ 1 (+ (* s (- (/ 1 (+ 1 (exp (/ (neg (PI)) u)))) (/ 1 (+ 1 (exp (/ (PI) u)))))) (/ 1 (+ 1 (exp (/ (PI) u)))))) 1))) |
(* (neg u) (log (+ (/ 1 (+ (/ s (+ 1 (exp (/ (PI) (neg u))))) (/ (- 1 s) (+ 1 (exp (/ (PI) u)))))) -1))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 6 | (3.8008460023775115e-7 0.023386821150779724) | 1 | (1.2599628462339751e-5 0.08247585594654083) | (exp.f32 (/.f32 (PI.f32) s)) |
| 0 | 0 | - | 0 | - | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))) |
| 0 | 0 | - | 0 | - | (PI.f32) |
| 0 | 0 | - | 0 | - | (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
| 0 | 0 | - | 0 | - | s |
| 0 | 0 | - | 0 | - | (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
| 0 | 0 | - | 0 | - | (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))) |
| 0 | 0 | - | 0 | - | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| 0 | 7 | (3.8008460023775115e-7 0.023386821150779724) | 0 | - | (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)) |
| 0 | 0 | - | 0 | - | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) |
| 0 | 0 | - | 0 | - | (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
| 0 | 0 | - | 0 | - | (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) |
| 0 | 0 | - | 0 | - | (/.f32 (neg.f32 (PI.f32)) s) |
| 0 | 0 | - | 0 | - | (neg.f32 (PI.f32)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) |
| 0 | 0 | - | 0 | - | u |
| 0 | 0 | - | 0 | - | (neg.f32 s) |
| 0 | 0 | - | 0 | - | (/.f32 (PI.f32) s) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f32 | (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)) | sensitivity | 7 | 2 |
exp.f32 | (exp.f32 (/.f32 (PI.f32) s)) | sensitivity | 6 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 7 | 249 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 7 | 2 | 247 |
| number | freq |
|---|---|
| 0 | 249 |
| 1 | 1 |
| 2 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 81.0ms | 512× | 0 | valid |
Compiled 594 to 88 computations (85.2% saved)
ival-div: 21.0ms (34.6% of total)ival-add: 8.0ms (13.2% of total)ival-exp: 8.0ms (13.2% of total)ival-mult: 6.0ms (9.9% of total)ival-log: 6.0ms (9.9% of total)ival-neg: 5.0ms (8.2% of total)ival-sub: 4.0ms (6.6% of total)ival-pi: 2.0ms (3.3% of total)ival-true: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
Compiled 39 to 21 computations (46.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (neg.f32 s) |
| ✓ | cost-diff | 160 | (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
| ✓ | cost-diff | 4000 | (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
| 788× | accelerator-lowering-fma.f32 |
| 788× | accelerator-lowering-fma.f64 |
| 376× | *-lowering-*.f32 |
| 376× | *-lowering-*.f64 |
| 268× | +-lowering-+.f64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 256 |
| 1 | 40 | 256 |
| 2 | 71 | 256 |
| 3 | 136 | 224 |
| 4 | 207 | 224 |
| 5 | 327 | 209 |
| 6 | 479 | 209 |
| 7 | 694 | 209 |
| 8 | 961 | 209 |
| 9 | 1114 | 209 |
| 10 | 1169 | 209 |
| 11 | 1187 | 209 |
| 12 | 1208 | 209 |
| 13 | 1216 | 209 |
| 14 | 1218 | 209 |
| 0 | 1218 | 209 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(neg s) |
s |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
1 |
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
u |
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(/ 1 (+ 1 (exp (/ (neg (PI)) s)))) |
(+ 1 (exp (/ (neg (PI)) s))) |
(exp (/ (neg (PI)) s)) |
(/ (neg (PI)) s) |
(neg (PI)) |
(PI) |
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(+ 1 (exp (/ (PI) s))) |
(exp (/ (PI) s)) |
(/ (PI) s) |
| Outputs |
|---|
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(fma.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) #s(literal 0 binary32)) |
(neg s) |
(neg.f32 s) |
s |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)) |
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
1 |
#s(literal 1 binary32) |
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
u |
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(/ 1 (+ 1 (exp (/ (neg (PI)) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) |
(+ 1 (exp (/ (neg (PI)) s))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))) |
(exp (/ (neg (PI)) s)) |
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) |
(/ (neg (PI)) s) |
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) |
(neg (PI)) |
(neg.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) |
(+ 1 (exp (/ (PI) s))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) |
(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
(/ (PI) s) |
(/.f32 (PI.f32) s) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (exp.f32 (/.f32 (PI.f32) s)) |
| ✓ | accuracy | 99.2% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| ✓ | accuracy | 98.8% | (/.f32 (neg.f32 (PI.f32)) s) |
| ✓ | accuracy | 98.8% | (/.f32 (PI.f32) s) |
| 38.0ms | 256× | 0 | valid |
Compiled 258 to 23 computations (91.1% saved)
ival-div: 9.0ms (31.7% of total)ival-exp: 4.0ms (14.1% of total)ival-add: 3.0ms (10.6% of total)ival-mult: 3.0ms (10.6% of total)ival-log: 3.0ms (10.6% of total)ival-neg: 3.0ms (10.6% of total)ival-sub: 2.0ms (7% of total)ival-pi: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (neg s)> |
#<alt (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))> |
#<alt (/ (PI) s)> |
#<alt (/ (neg (PI)) s)> |
#<alt (* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))> |
#<alt (exp (/ (PI) s))> |
| Outputs |
|---|
#<alt (/ 1 (+ 1 (exp (/ (PI) s))))> |
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
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#<alt (* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s))))))))> |
#<alt (* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s))))))))> |
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt 1/2> |
#<alt (- (+ 1/2 (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)) (* 1/4 (/ (PI) s)))> |
#<alt (- (+ 1/2 (+ (* -1 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2))) (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s))) (* 1/4 (/ (PI) s)))> |
#<alt (- (+ 1/2 (+ (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 3)))) (+ (* -1/2 (/ (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (pow s 3))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* -1/16 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/24 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/8 (/ (pow (PI) 2) (pow s 2))) (* 1/4 (/ (PI) s))))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1 (/ (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) s)))> |
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (PI) 2) s)) (+ (* 1/8 (/ (pow (PI) 2) s)) (* u (- (* -1/4 (PI)) (* 1/4 (PI)))))) (* -1/4 (PI))) s)))> |
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) s)) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) s)) (* u (- (* -1/4 (PI)) (* 1/4 (PI))))) (* -1/4 (PI))) s)))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)> |
#<alt (/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))) s)> |
#<alt (/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2)))) s)> |
#<alt (/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (+ (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (* 1/96 (pow (PI) 4))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/192 (pow (PI) 5)) (* 1/480 (pow (PI) 5)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/480 (pow (PI) 5)) (+ (* 1/192 (pow (PI) 5)) (+ (* 1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 1/2 (* (PI) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/96 (pow (PI) 4)) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))))))))))) (pow s 4)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))))) s)> |
#<alt (* -1 (/ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) s))> |
#<alt (* -1 (/ (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2))) s))> |
#<alt (* -1 (/ (+ (* -1 (/ (* u (- (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))))) (pow s 3))) (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2)))) s))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/480 (pow (PI) 5)) (+ (* 1/192 (pow (PI) 5)) (+ (* 1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 1/2 (* (PI) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/96 (pow (PI) 4)) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))))))))) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (* 1/96 (pow (PI) 4))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/192 (pow (PI) 5)) (* 1/480 (pow (PI) 5)))))))) s)) (* u (- (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3))))))))) (pow s 3))) (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2)))) s))> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (/ (PI) s)> |
#<alt (+ (* -1 (/ (* u (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s)))) (/ (PI) s))> |
#<alt (+ (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (exp (/ (PI) s)))) (* 1/2 (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s))))))))) (/ (PI) s))> |
#<alt (+ (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (exp (/ (PI) s)))) (* u (+ (* 1/6 (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (exp (/ (PI) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 6) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 5) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 2))))))) (* 1/2 (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s)))))))))) (/ (PI) s))> |
#<alt (log -1)> |
#<alt (- (log -1) (/ 1 (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))> |
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#<alt (- (+ (log -1) (+ (* 1/6 (/ (- (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))))) (pow u 3))) (* 1/2 (/ (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))) (pow u 2))))) (/ 1 (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))> |
#<alt (log -1)> |
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#<alt (+ (log -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (- (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) u)) (* 1/2 (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))))) u)) (/ 1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) u)))> |
#<alt (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))> |
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36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 77.0ms | s | @ | 0 | (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
| 43.0ms | s | @ | 0 | (* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
| 5.0ms | u | @ | inf | (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
| 4.0ms | s | @ | inf | (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
| 4.0ms | s | @ | -inf | (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
| 1× | batch-egg-rewrite |
| 4 812× | accelerator-lowering-fma.f32 |
| 4 812× | accelerator-lowering-fma.f64 |
| 4 760× | /-lowering-/.f32 |
| 4 760× | /-lowering-/.f64 |
| 4 370× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 133 |
| 1 | 142 | 133 |
| 2 | 1318 | 133 |
| 0 | 8583 | 117 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(neg s) |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(/ (PI) s) |
(/ (neg (PI)) s) |
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(exp (/ (PI) s)) |
| Outputs |
|---|
(exp.f32 (log.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(+.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)))) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -1/2 binary32)) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(fma.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 (PI.f32) s)) (expm1.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32)) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (PI.f32) s)) (expm1.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32))) #s(literal -1 binary32)) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) #s(literal -1 binary32)) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(fma.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 (/.f32 u #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32))) #s(literal 1 binary32)) (/.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -1 binary32))) |
(-.f32 (/.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(-.f32 (/.f32 (/.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)) (/.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))) |
(-.f32 (/.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) |
(-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) (/.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32))))) |
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(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 u (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)))))) (*.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (*.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u))) (*.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))) (*.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32))) u))) (*.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))))) |
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(/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32)))))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))))) |
(/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)))))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32))) u))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))))) |
(/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32))) u))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 (fma.f32 (*.f32 u (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(/.f32 (fma.f32 (*.f32 u (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))))) (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 (fma.f32 (*.f32 u (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))))) (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) #s(literal -1 binary32))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))))) |
(/.f32 (fma.f32 (*.f32 u (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(/.f32 (fma.f32 (*.f32 u (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32)))) (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))) (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 (fma.f32 (*.f32 u (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32)))) (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))) #s(literal -1 binary32))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))) (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))))) |
(/.f32 (fma.f32 (*.f32 u (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32))) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(/.f32 (fma.f32 (*.f32 u (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)))) (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32))) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 (fma.f32 (*.f32 u (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)))) (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -1 binary32))) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))))) |
(/.f32 (fma.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(/.f32 (fma.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 (fma.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) #s(literal -1 binary32))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))))) |
(/.f32 (fma.f32 (*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32))) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(/.f32 (fma.f32 (*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32))) u) (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))) (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 (fma.f32 (*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32))) u) (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))) #s(literal -1 binary32))) (*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32))) (+.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (PI.f32) s)))))) |
(/.f32 (fma.f32 (*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32))) u) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32))) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
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(*.f32 (/.f32 (sqrt.f32 (PI.f32)) s) (/.f32 (sqrt.f32 (PI.f32)) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (PI.f32) #s(literal 1 binary32))) |
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) s) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1 binary32))) |
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s)) |
(*.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) s)) |
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) s)) |
(log.f32 (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) |
(neg.f32 (*.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))) |
(-.f32 #s(literal 0 binary32) (*.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))) |
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))) |
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) |
(*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) (neg.f32 s)) |
(*.f32 #s(literal -1 binary32) (*.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))) |
(*.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) #s(literal -1 binary32)) s) |
(exp.f32 (/.f32 (PI.f32) s)) |
(pow.f32 (exp.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) s)) |
(pow.f32 (E.f32) (/.f32 (PI.f32) s)) |
(pow.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 #s(literal 1 binary32) s))) |
(pow.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s)) |
(pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) s))) |
(pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (PI.f32)) s)) |
(pow.f32 (exp.f32 (neg.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (neg.f32 s))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (PI.f32) s))) |
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (PI.f32)) |
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) |
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) s)) (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))) |
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) |
(*.f32 (exp.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32)) |
| 1× | egg-herbie |
| 11 306× | accelerator-lowering-fma.f32 |
| 11 306× | accelerator-lowering-fma.f64 |
| 6 152× | *-lowering-*.f32 |
| 6 152× | *-lowering-*.f64 |
| 4 108× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 537 | 8581 |
| 1 | 1642 | 6884 |
| 2 | 6883 | 6870 |
| 0 | 8063 | 6371 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s)))))))) |
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s)))))))) |
(* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s)))))))) |
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
1/2 |
(- (+ 1/2 (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)) (* 1/4 (/ (PI) s))) |
(- (+ 1/2 (+ (* -1 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2))) (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s))) (* 1/4 (/ (PI) s))) |
(- (+ 1/2 (+ (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 3)))) (+ (* -1/2 (/ (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (pow s 3))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* -1/16 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/24 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/8 (/ (pow (PI) 2) (pow s 2))) (* 1/4 (/ (PI) s)))))))) |
1/2 |
(+ 1/2 (* -1 (/ (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (PI) 2) s)) (+ (* 1/8 (/ (pow (PI) 2) s)) (* u (- (* -1/4 (PI)) (* 1/4 (PI)))))) (* -1/4 (PI))) s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) s)) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) s)) (* u (- (* -1/4 (PI)) (* 1/4 (PI))))) (* -1/4 (PI))) s))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s) |
(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))) s) |
(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2)))) s) |
(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (+ (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (* 1/96 (pow (PI) 4))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/192 (pow (PI) 5)) (* 1/480 (pow (PI) 5)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/480 (pow (PI) 5)) (+ (* 1/192 (pow (PI) 5)) (+ (* 1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 1/2 (* (PI) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/96 (pow (PI) 4)) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))))))))))) (pow s 4)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))))) s) |
(* -1 (/ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) s)) |
(* -1 (/ (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2))) s)) |
(* -1 (/ (+ (* -1 (/ (* u (- (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))))) (pow s 3))) (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2)))) s)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/480 (pow (PI) 5)) (+ (* 1/192 (pow (PI) 5)) (+ (* 1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 1/2 (* (PI) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/96 (pow (PI) 4)) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))))))))) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (* 1/96 (pow (PI) 4))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/192 (pow (PI) 5)) (* 1/480 (pow (PI) 5)))))))) s)) (* u (- (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3))))))))) (pow s 3))) (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2)))) s)) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(/ (PI) s) |
(+ (* -1 (/ (* u (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s)))) (/ (PI) s)) |
(+ (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (exp (/ (PI) s)))) (* 1/2 (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s))))))))) (/ (PI) s)) |
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(log -1) |
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(* -1 (PI)) |
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(+ (* -1 (PI)) (* u (+ (* u (+ (* -1/2 (* s (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s))))))) (* -1/6 (* s (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (exp (/ (PI) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 6) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 5) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 2)))))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s)))))) |
(* -1 (* s (log -1))) |
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))) |
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(* -1 (* s (log -1))) |
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* 1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) u))) u))) |
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* -1 (/ (+ (* -1/2 (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))))) (* 1/6 (/ (* s (- (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))))) u))) u))) u))) |
(exp (/ (PI) s)) |
(exp (/ (PI) s)) |
(exp (/ (PI) s)) |
(exp (/ (PI) s)) |
1 |
(+ 1 (/ (PI) s)) |
(+ 1 (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s))) |
(+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) |
1 |
(+ 1 (/ (PI) s)) |
(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1/2 (/ (pow (PI) 2) s))) s))) |
(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* 1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s))) |
| Outputs |
|---|
(/ 1 (+ 1 (exp (/ (PI) s)))) |
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(log -1) |
(log.f32 #s(literal -1 binary32)) |
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(log -1) |
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(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
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(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) |
(* -4 (/ (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) s)) |
(*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal -4 binary32) s)) |
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(* -1 (PI)) |
(neg.f32 (PI.f32)) |
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(fma.f32 u (fma.f32 (*.f32 u (*.f32 s #s(literal -1/2 binary32))) (fma.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 3 binary32)) (exp.f32 (/.f32 (PI.f32) s)))) (neg.f32 (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 4 binary32)) (exp.f32 (+.f32 (/.f32 (PI.f32) s) (/.f32 (PI.f32) s))))))) (*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32))) (/.f32 s (exp.f32 (/.f32 (PI.f32) s))))) (neg.f32 (PI.f32))) |
(+ (* -1 (PI)) (* u (+ (* u (+ (* -1/2 (* s (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s))))))) (* -1/6 (* s (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (exp (/ (PI) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 6) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 5) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 2)))))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s)))))) |
(fma.f32 u (fma.f32 u (fma.f32 s (*.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 3 binary32)) (exp.f32 (/.f32 (PI.f32) s)))) (neg.f32 (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 4 binary32)) (exp.f32 (+.f32 (/.f32 (PI.f32) s) (/.f32 (PI.f32) s))))))) #s(literal -1/2 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 s u)) (fma.f32 #s(literal -2 binary32) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 6 binary32)) (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 6 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 5 binary32))) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32)) (exp.f32 (+.f32 (/.f32 (PI.f32) s) (/.f32 (PI.f32) s)))) (*.f32 #s(literal -6 binary32) (*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 4 binary32)) (exp.f32 (/.f32 (PI.f32) s))))))))) (*.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32))) (/.f32 s (exp.f32 (/.f32 (PI.f32) s))))) (neg.f32 (PI.f32))) |
(* -1 (* s (log -1))) |
(neg.f32 (*.f32 s (log.f32 #s(literal -1 binary32)))) |
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
(fma.f32 s (neg.f32 (log.f32 #s(literal -1 binary32))) (/.f32 s (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) |
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))) |
(fma.f32 s (neg.f32 (log.f32 #s(literal -1 binary32))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)))) (/.f32 s (*.f32 u u))) (/.f32 s (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))) |
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (+ (* -1/6 (/ (* s (- (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))))) (pow u 3))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))))) |
(fma.f32 s (neg.f32 (log.f32 #s(literal -1 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 6 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32)))) (/.f32 #s(literal 2 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32)))) (/.f32 #s(literal 6 binary32) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32))))) (/.f32 s (*.f32 u (*.f32 u u)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)))) (/.f32 s (*.f32 u u))) (/.f32 s (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))))) |
(* -1 (* s (log -1))) |
(neg.f32 (*.f32 s (log.f32 #s(literal -1 binary32)))) |
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
(fma.f32 s (neg.f32 (log.f32 #s(literal -1 binary32))) (/.f32 s (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) |
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* 1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) u))) u))) |
(neg.f32 (fma.f32 s (log.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) s) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 u (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 u (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))))) (/.f32 s (-.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) u))) |
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* -1 (/ (+ (* -1/2 (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))))) (* 1/6 (/ (* s (- (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))))) u))) u))) u))) |
(neg.f32 (fma.f32 s (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 s (-.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) s) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal 6 binary32) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32)))) (/.f32 #s(literal -6 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32)))))) u) (*.f32 #s(literal -1/2 binary32) (*.f32 s (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))))))) u)) u))) |
(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
1 |
#s(literal 1 binary32) |
(+ 1 (/ (PI) s)) |
(+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)) |
(+ 1 (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (/.f32 (PI.f32) (*.f32 s s))) (/.f32 (PI.f32) s))) |
(+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) |
(+.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (/.f32 (PI.f32) (*.f32 s s))) (/.f32 (PI.f32) s)) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))) #s(literal 1/6 binary32) #s(literal 1 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (/ (PI) s)) |
(+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)) |
(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1/2 (/ (pow (PI) 2) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)) |
(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* 1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (PI.f32)) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)) |
Compiled 31 886 to 3 809 computations (88.1% saved)
27 alts after pruning (27 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 544 | 27 | 571 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 545 | 27 | 572 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 10.2% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
| 12.9% | (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)) | |
| 42.4% | (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s (*.f32 s s))) (+.f32 #s(literal 0 binary32) (fma.f32 s s (*.f32 #s(literal 0 binary32) s)))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 64.5% | (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| ▶ | 42.3% | (*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 s) (neg.f32 s)) (*.f32 #s(literal 0 binary32) (neg.f32 s))))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| 9.7% | (*.f32 (neg.f32 s) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 #s(literal -4 binary32) (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) s)) | |
| 12.8% | (*.f32 (neg.f32 s) (/.f32 (PI.f32) s)) | |
| 98.3% | (*.f32 (neg.f32 s) (-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) #s(literal -1 binary32))) (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))) | |
| 97.4% | (*.f32 (neg.f32 s) (-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -3 binary32)) #s(literal -1 binary32))) (log.f32 (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))))) | |
| 12.8% | (*.f32 (neg.f32 s) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal -4 binary32) s))) | |
| 12.9% | (*.f32 (neg.f32 s) (*.f32 (/.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) s) #s(literal 4 binary32))) | |
| 99.0% | (*.f32 (neg.f32 s) (neg.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -3 binary32)) #s(literal -1 binary32)))))) | |
| 99.0% | (*.f32 (neg.f32 s) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) #s(literal -1 binary32)))))) | |
| 99.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 99.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (*.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)))) (*.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) #s(literal 1 binary32)))) | |
| 99.0% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 5.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| ▶ | 97.2% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| 98.0% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (PI.f32)) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 94.5% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 99.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| ▶ | 99.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32))))))) #s(literal 1 binary32)))) |
| 38.6% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 96.3% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32)))) | |
| 98.9% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) #s(literal 1 binary32)))) | |
| 10.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) | |
| ▶ | 12.8% | (neg.f32 (PI.f32)) |
Compiled 2 710 to 1 188 computations (56.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 224 | (*.f32 #s(literal 0 binary32) (neg.f32 s)) |
| ✓ | cost-diff | 928 | (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 s) (neg.f32 s)) (*.f32 #s(literal 0 binary32) (neg.f32 s))))) |
| ✓ | cost-diff | 2848 | (pow.f32 (neg.f32 s) #s(literal 3 binary32)) |
| ✓ | cost-diff | 3840 | (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
| ✓ | cost-diff | 32 | (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)) |
| ✓ | cost-diff | 64 | (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))))) |
| ✓ | cost-diff | 96 | (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))) |
| ✓ | cost-diff | 160 | (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) |
| ✓ | cost-diff | 160 | (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) |
| ✓ | cost-diff | 192 | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
| ✓ | cost-diff | 352 | (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) |
| ✓ | cost-diff | 2112 | (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) |
| ✓ | cost-diff | 0 | (PI.f32) |
| ✓ | cost-diff | 0 | (neg.f32 (PI.f32)) |
| ✓ | cost-diff | 0 | (neg.f32 s) |
| ✓ | cost-diff | 160 | (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) |
| ✓ | cost-diff | 160 | (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
| ✓ | cost-diff | 3840 | (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))))) |
| 8 084× | accelerator-lowering-fma.f32 |
| 8 084× | accelerator-lowering-fma.f64 |
| 4 080× | *-lowering-*.f32 |
| 4 080× | *-lowering-*.f64 |
| 1 470× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 1379 |
| 1 | 177 | 1199 |
| 2 | 442 | 1019 |
| 3 | 1883 | 941 |
| 4 | 5972 | 941 |
| 0 | 8204 | 906 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (* (/ 1 s) (PI))))))) 1))) |
(neg s) |
s |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (* (/ 1 s) (PI))))))) 1)) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (* (/ 1 s) (PI))))))) 1) |
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (* (/ 1 s) (PI))))))) |
1 |
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (* (/ 1 s) (PI)))))) |
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
u |
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(/ 1 (+ 1 (exp (/ (neg (PI)) s)))) |
(+ 1 (exp (/ (neg (PI)) s))) |
(exp (/ (neg (PI)) s)) |
(/ (neg (PI)) s) |
(neg (PI)) |
(PI) |
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(+ 1 (exp (/ (PI) s))) |
(exp (/ (PI) s)) |
(/ (PI) s) |
(/ 1 (+ 1 (exp (* (/ 1 s) (PI))))) |
(+ 1 (exp (* (/ 1 s) (PI)))) |
(exp (* (/ 1 s) (PI))) |
(* (/ 1 s) (PI)) |
(/ 1 s) |
(neg (PI)) |
(PI) |
(+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s)) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4)) |
-1/2 |
(/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s) |
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) |
(+ (* (PI) 1/4) (* u (* (PI) -1/2))) |
(PI) |
1/4 |
(* u (* (PI) -1/2)) |
u |
(* (PI) -1/2) |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16) |
-16 |
(+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0) |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) |
16 |
0 |
s |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4) |
-4 |
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(neg s) |
s |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
1 |
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) |
u |
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))))) |
(/ 1 (+ 1 (exp (/ (neg (PI)) s)))) |
(+ 1 (exp (/ (neg (PI)) s))) |
(exp (/ (neg (PI)) s)) |
(/ (neg (PI)) s) |
(neg (PI)) |
(PI) |
(/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))) |
(+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))) |
(- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)) |
(/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s) |
(+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) |
-1/2 |
(/ (* (PI) (PI)) s) |
(* (PI) (PI)) |
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(+ 1 (exp (/ (PI) s))) |
(exp (/ (PI) s)) |
(/ (PI) s) |
(* (/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* (neg s) (neg s)) (* 0 (neg s))))) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* (neg s) (neg s)) (* 0 (neg s))))) |
(+ 0 (pow (neg s) 3)) |
0 |
(pow (neg s) 3) |
(neg s) |
s |
3 |
(+ 0 (- (* (neg s) (neg s)) (* 0 (neg s)))) |
(- (* (neg s) (neg s)) (* 0 (neg s))) |
(* (neg s) (neg s)) |
(* 0 (neg s)) |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
1 |
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
u |
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(/ 1 (+ 1 (exp (/ (neg (PI)) s)))) |
(+ 1 (exp (/ (neg (PI)) s))) |
(exp (/ (neg (PI)) s)) |
(/ (neg (PI)) s) |
(neg (PI)) |
(PI) |
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(+ 1 (exp (/ (PI) s))) |
(exp (/ (PI) s)) |
(/ (PI) s) |
| Outputs |
|---|
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (* (/ 1 s) (PI))))))) 1))) |
(fma.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) #s(literal -1 binary32))) #s(literal 0 binary32)) |
(neg s) |
(neg.f32 s) |
s |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (* (/ 1 s) (PI))))))) 1)) |
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) #s(literal -1 binary32))) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (* (/ 1 s) (PI))))))) 1) |
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) #s(literal -1 binary32)) |
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (* (/ 1 s) (PI))))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) |
1 |
#s(literal 1 binary32) |
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (* (/ 1 s) (PI)))))) |
(fma.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) |
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
u |
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(/ 1 (+ 1 (exp (/ (neg (PI)) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) |
(+ 1 (exp (/ (neg (PI)) s))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))) |
(exp (/ (neg (PI)) s)) |
(exp.f32 (/.f32 (PI.f32) (neg.f32 s))) |
(/ (neg (PI)) s) |
(/.f32 (PI.f32) (neg.f32 s)) |
(neg (PI)) |
(neg.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) |
(+ 1 (exp (/ (PI) s))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) |
(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
(/ (PI) s) |
(/.f32 (PI.f32) s) |
(/ 1 (+ 1 (exp (* (/ 1 s) (PI))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) |
(+ 1 (exp (* (/ 1 s) (PI)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) |
(exp (* (/ 1 s) (PI))) |
(exp.f32 (/.f32 (PI.f32) s)) |
(* (/ 1 s) (PI)) |
(/.f32 (PI.f32) s) |
(/ 1 s) |
(/.f32 #s(literal 1 binary32) s) |
(neg (PI)) |
(neg.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s)) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4)) |
(fma.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)) (neg.f32 (PI.f32))) |
-1/2 |
#s(literal -1/2 binary32) |
(/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s) |
#s(literal 0 binary32) |
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) |
#s(literal 0 binary32) |
(+ (* (PI) 1/4) (* u (* (PI) -1/2))) |
(*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) |
(PI) |
(PI.f32) |
1/4 |
#s(literal 1/4 binary32) |
(* u (* (PI) -1/2)) |
(*.f32 (PI.f32) (*.f32 u #s(literal -1/2 binary32))) |
u |
(* (PI) -1/2) |
(*.f32 (PI.f32) #s(literal -1/2 binary32)) |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16) |
(*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) #s(literal -16 binary32)) |
-16 |
#s(literal -16 binary32) |
(+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0) |
(fma.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) #s(literal 16 binary32)) #s(literal 0 binary32)) |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) |
(*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32)))) |
16 |
#s(literal 16 binary32) |
0 |
#s(literal 0 binary32) |
s |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4) |
(fma.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)) (neg.f32 (PI.f32))) |
-4 |
#s(literal -4 binary32) |
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(fma.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal -2 binary32)))))) #s(literal -1 binary32))) #s(literal 0 binary32)) |
(neg s) |
(neg.f32 s) |
s |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal -2 binary32)))))) #s(literal -1 binary32))) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal -2 binary32)))))) #s(literal -1 binary32)) |
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal -2 binary32)))))) |
1 |
#s(literal 1 binary32) |
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal -2 binary32))))) |
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) |
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 u (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal -2 binary32)))) |
u |
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal -2 binary32)))) |
(/ 1 (+ 1 (exp (/ (neg (PI)) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) |
(+ 1 (exp (/ (neg (PI)) s))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))) |
(exp (/ (neg (PI)) s)) |
(exp.f32 (/.f32 (PI.f32) (neg.f32 s))) |
(/ (neg (PI)) s) |
(/.f32 (PI.f32) (neg.f32 s)) |
(neg (PI)) |
(neg.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal -2 binary32)))) |
(+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))) |
(neg.f32 (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal -2 binary32))) |
(- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)) |
(fma.f32 (neg.f32 (PI.f32)) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 1 binary32)) |
(/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s) |
(/.f32 (fma.f32 (PI.f32) (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) #s(literal 0 binary32)) s) |
(+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) |
(fma.f32 (PI.f32) (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) #s(literal 0 binary32)) |
-1/2 |
#s(literal -1/2 binary32) |
(/ (* (PI) (PI)) s) |
(/.f32 (*.f32 (PI.f32) (PI.f32)) s) |
(* (PI) (PI)) |
(*.f32 (PI.f32) (PI.f32)) |
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) |
(+ 1 (exp (/ (PI) s))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) |
(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
(/ (PI) s) |
(/.f32 (PI.f32) s) |
(* (/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* (neg s) (neg s)) (* 0 (neg s))))) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(fma.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) #s(literal -1 binary32))) #s(literal 0 binary32)) |
(/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* (neg s) (neg s)) (* 0 (neg s))))) |
(neg.f32 s) |
(+ 0 (pow (neg s) 3)) |
(neg.f32 (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32))) |
0 |
#s(literal 0 binary32) |
(pow (neg s) 3) |
(neg.f32 (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32))) |
(neg s) |
(neg.f32 s) |
s |
3 |
#s(literal 3 binary32) |
(+ 0 (- (* (neg s) (neg s)) (* 0 (neg s)))) |
(fma.f32 s s #s(literal 0 binary32)) |
(- (* (neg s) (neg s)) (* 0 (neg s))) |
(fma.f32 s s #s(literal 0 binary32)) |
(* (neg s) (neg s)) |
(fma.f32 s s #s(literal 0 binary32)) |
(* 0 (neg s)) |
#s(literal 0 binary32) |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) #s(literal -1 binary32))) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) #s(literal -1 binary32)) |
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))))) |
1 |
#s(literal 1 binary32) |
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(fma.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) |
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
u |
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(/ 1 (+ 1 (exp (/ (neg (PI)) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) |
(+ 1 (exp (/ (neg (PI)) s))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))) |
(exp (/ (neg (PI)) s)) |
(exp.f32 (/.f32 (PI.f32) (neg.f32 s))) |
(/ (neg (PI)) s) |
(/.f32 (PI.f32) (neg.f32 s)) |
(neg (PI)) |
(neg.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) |
(+ 1 (exp (/ (PI) s))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) |
(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
(/ (PI) s) |
(/.f32 (PI.f32) s) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.2% | (*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 s) (neg.f32 s)) (*.f32 #s(literal 0 binary32) (neg.f32 s))))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| ✓ | accuracy | 98.8% | (/.f32 (neg.f32 (PI.f32)) s) |
| ✓ | accuracy | 98.8% | (/.f32 (PI.f32) s) |
| ✓ | accuracy | 43.6% | (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 s) (neg.f32 s)) (*.f32 #s(literal 0 binary32) (neg.f32 s))))) |
| ✓ | accuracy | 98.8% | (/.f32 (neg.f32 (PI.f32)) s) |
| ✓ | accuracy | 98.8% | (/.f32 (PI.f32) s) |
| ✓ | accuracy | 96.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))) |
| ✓ | accuracy | 96.9% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 99.1% | (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) |
| ✓ | accuracy | 98.6% | (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) |
| ✓ | accuracy | 98.3% | (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) |
| ✓ | accuracy | 7.1% | (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) |
| ✓ | accuracy | 100.0% | (neg.f32 (PI.f32)) |
| ✓ | accuracy | 100.0% | (PI.f32) |
| ✓ | accuracy | 99.2% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32))))))) #s(literal 1 binary32)))) |
| ✓ | accuracy | 98.8% | (/.f32 (neg.f32 (PI.f32)) s) |
| ✓ | accuracy | 98.8% | (/.f32 (PI.f32) s) |
| ✓ | accuracy | 98.7% | (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) |
| 507.0ms | 256× | 1 | valid |
Compiled 1 246 to 76 computations (93.9% saved)
ival-mult: 119.0ms (28.8% of total)ival-pow: 105.0ms (25.4% of total)ival-add: 75.0ms (18.1% of total)ival-div: 42.0ms (10.2% of total)adjust: 23.0ms (5.6% of total)ival-sub: 15.0ms (3.6% of total)ival-log: 15.0ms (3.6% of total)ival-exp: 11.0ms (2.7% of total)ival-neg: 5.0ms (1.2% of total)ival-pi: 2.0ms (0.5% of total)exact: 2.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (* (/ 1 s) (PI))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* (/ 1 s) (PI))> |
#<alt (neg s)> |
#<alt (neg (PI))> |
#<alt (PI)> |
#<alt (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0))> |
#<alt (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s)> |
#<alt (+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s)) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4))> |
#<alt (+ (* (PI) 1/4) (* u (* (PI) -1/2)))> |
#<alt (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))))))> |
#<alt (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))> |
#<alt (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))> |
#<alt (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))> |
#<alt (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt (pow (neg s) 3)> |
#<alt (/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* (neg s) (neg s)) (* 0 (neg s)))))> |
#<alt (* 0 (neg s))> |
#<alt (/ (PI) s)> |
#<alt (/ (neg (PI)) s)> |
#<alt (* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (* (/ 1 s) (PI))))))) 1)))> |
#<alt (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2))))> |
#<alt (* u (* (PI) -1/2))> |
#<alt (* (PI) (PI))> |
#<alt (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))))> |
#<alt (* (/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* (neg s) (neg s)) (* 0 (neg s))))) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))> |
| Outputs |
|---|
#<alt (/ 1 (+ 1 (exp (/ (PI) s))))> |
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (+ (/ 1 (* u (+ 1 (exp (/ (PI) s))))) (/ 1 (+ 1 (exp (* -1 (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s))))))))> |
#<alt (* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s))))))))> |
#<alt (* -1 (* u (- (* -1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (* u (+ 1 (exp (/ (PI) s))))))))> |
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt 1/2> |
#<alt (- (+ 1/2 (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)) (* 1/4 (/ (PI) s)))> |
#<alt (- (+ 1/2 (+ (* -1 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2))) (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s))) (* 1/4 (/ (PI) s)))> |
#<alt (- (+ 1/2 (+ (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 3)))) (+ (* -1/2 (/ (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) (pow s 3))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* -1/16 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/24 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/8 (/ (pow (PI) 2) (pow s 2))) (* 1/4 (/ (PI) s))))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1 (/ (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) s)))> |
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (PI) 2) s)) (+ (* 1/8 (/ (pow (PI) 2) s)) (* u (- (* -1/4 (PI)) (* 1/4 (PI)))))) (* -1/4 (PI))) s)))> |
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) s)) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) s)) (* u (- (* -1/4 (PI)) (* 1/4 (PI))))) (* -1/4 (PI))) s)))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
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#<alt (+ (* -4 (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI)))) (* -1/2 (/ (+ (* -16 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)))> |
#<alt (+ (* -4 (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -128 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))))) (* -6 (+ (* -2 (* (+ (* -8 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))))) (+ (* 4 (- (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI)))))))))) s)) (* 1/2 (+ (* -16 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) s)))> |
#<alt (+ (* -4 (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -1536 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 4)) (+ (* -384 (* (+ (* -8 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2))) (+ (* -96 (* (+ (* -2 (* (+ (* -8 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))))) (+ (* 4 (- (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))))))) (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))))) (+ (* -24 (+ (* -8 (* (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) (- (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))) (+ (* -2 (* (+ (* -2 (* (+ (* -8 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))))) (+ (* 4 (- (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))))))) (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))))) (+ (* 2 (* (+ (* -8 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 4 (- (* u (- (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/96 (pow (PI) 4)) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))))))))) (* -12 (pow (+ (* -8 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) 2)))))) s)) (* 1/6 (+ (* -128 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))))) (* -6 (+ (* -2 (* (+ (* -8 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))))) (+ (* 4 (- (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI)))))))))))) s)) (* 1/2 (+ (* -16 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) s)))> |
#<alt (* -1 (PI))> |
#<alt (+ (* -1 (PI)) (/ (* s (* u (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) (exp (/ (PI) s))))> |
#<alt (+ (* -1 (PI)) (* u (+ (* -1/2 (* s (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s)))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s))))))> |
#<alt (+ (* -1 (PI)) (* u (+ (* u (+ (* -1/2 (* s (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s))))))) (* -1/6 (* s (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (exp (/ (PI) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 6) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 5) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 2)))))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s))))))> |
#<alt (* -1 (* s (log -1)))> |
#<alt (+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))> |
#<alt (+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))))> |
#<alt (+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (+ (* -1/6 (/ (* s (- (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))))) (pow u 3))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))))> |
#<alt (* -1 (* s (log -1)))> |
#<alt (+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))> |
#<alt (+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* 1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) u))) u)))> |
#<alt (+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* -1 (/ (+ (* -1/2 (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))))) (* 1/6 (/ (* s (- (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))))) u))) u))) u)))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | s | @ | inf | (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) |
| 2.0ms | u | @ | 0 | (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) |
| 2.0ms | s | @ | -inf | (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) |
| 2.0ms | s | @ | 0 | (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s) |
| 1.0ms | s | @ | inf | (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))))) |
| 1× | batch-egg-rewrite |
| 3 618× | accelerator-lowering-fma.f32 |
| 3 618× | accelerator-lowering-fma.f64 |
| 3 294× | *-lowering-*.f32 |
| 3 294× | *-lowering-*.f64 |
| 1 922× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 419 |
| 1 | 497 | 313 |
| 2 | 4656 | 301 |
| 0 | 8654 | 275 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (* (/ 1 s) (PI)))))) |
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* (/ 1 s) (PI)) |
(neg s) |
(neg (PI)) |
(PI) |
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) |
(/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s) |
(+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s)) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4)) |
(+ (* (PI) 1/4) (* u (* (PI) -1/2))) |
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) |
(+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))) |
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))))) |
(- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)) |
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(pow (neg s) 3) |
(/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* (neg s) (neg s)) (* 0 (neg s))))) |
(* 0 (neg s)) |
(/ (PI) s) |
(/ (neg (PI)) s) |
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (* (/ 1 s) (PI))))))) 1))) |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) |
(* u (* (PI) -1/2)) |
(* (PI) (PI)) |
(/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))) |
(* (/ (+ 0 (pow (neg s) 3)) (+ 0 (- (* (neg s) (neg s)) (* 0 (neg s))))) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
| Outputs |
|---|
(exp.f32 (log.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(+.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)))) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
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(/.f32 (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32))) (*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32))) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
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(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32)))) (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)) #s(literal 1 binary32)))) |
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(+.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)))) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -1/2 binary32)) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 (PI.f32) s)) (expm1.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32)) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(-.f32 (/.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32))))) |
(/.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32)) |
(/.f32 (neg.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)) |
(/.f32 (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)))) |
(/.f32 (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)) (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (/.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32))) (*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32))) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32))) (*.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32)))) (neg.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)))) (neg.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)) (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) |
(*.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32)) |
(*.f32 (+.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32))))) |
(*.f32 (-.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(neg.f32 (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32))) |
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(*.f32 (exp.f32 (log.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (exp.f32 (log.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))))) |
(*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) |
(*.f32 (PI.f32) (*.f32 #s(literal -1/2 binary32) u)) |
(*.f32 #s(literal -1/2 binary32) (*.f32 u (PI.f32))) |
(*.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) u) |
(*.f32 (*.f32 u (PI.f32)) #s(literal -1/2 binary32)) |
(*.f32 (*.f32 u #s(literal -1/2 binary32)) (PI.f32)) |
(neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) |
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32)))) |
(exp.f32 (*.f32 (log.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) |
(pow.f32 (PI.f32) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 6 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 3 binary32)) |
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32)) |
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) |
(pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)) |
(cbrt.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32))) |
(*.f32 (PI.f32) (PI.f32)) |
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32))) |
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32))) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))) |
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) |
(*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(*.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32)) (PI.f32)) |
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))) |
(exp.f32 (neg.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))))) |
(pow.f32 (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))) |
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))) |
(*.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))) #s(literal 1 binary32))) (fma.f32 (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)) |
(neg.f32 (*.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))) |
(pow.f32 (/.f32 (fma.f32 s s #s(literal 0 binary32)) (*.f32 (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (*.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s s #s(literal 0 binary32)) (*.f32 (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))))) |
(/.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (*.f32 (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) (fma.f32 s s #s(literal 0 binary32))) |
(/.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (*.f32 #s(literal 1 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 (*.f32 (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) s) s) |
(*.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) |
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))) |
(*.f32 (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 s s #s(literal 0 binary32))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))) |
(*.f32 (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)) (/.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) (fma.f32 s s #s(literal 0 binary32)))) |
(*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) s) |
(*.f32 #s(literal -1 binary32) (*.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))) |
(*.f32 (*.f32 (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 s s #s(literal 0 binary32)))) |
(*.f32 (/.f32 (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)) s) (/.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) s)) |
(*.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) #s(literal -1 binary32)) s) |
(*.f32 (/.f32 (*.f32 (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) (fma.f32 (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))) (fma.f32 s (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))) |
(*.f32 (/.f32 (*.f32 (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) (fma.f32 s (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))) (fma.f32 s s #s(literal 0 binary32))) |
| 1× | egg-herbie |
| 10 014× | accelerator-lowering-fma.f32 |
| 10 014× | accelerator-lowering-fma.f64 |
| 7 372× | +-lowering-+.f64 |
| 7 372× | +-lowering-+.f32 |
| 5 412× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 902 | 14058 |
| 1 | 2927 | 11369 |
| 0 | 8580 | 10591 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
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(/ (PI) s) |
(/ (PI) s) |
(/ (PI) s) |
(/ (PI) s) |
(/ (PI) s) |
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(+ (* -1 (pow (PI) 2)) (+ (* u (+ (* -4 (pow (PI) 2)) (+ (* 4 (pow (PI) 2)) (* u (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))))))) (pow (PI) 2))) |
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(* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* -4 (pow (PI) 2)) (+ (* 4 (/ (pow (PI) 2) u)) (* 4 (pow (PI) 2)))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (pow (PI) 2) (pow u 2))) (+ (* 4 (/ (pow (PI) 2) u)) (+ (* 4 (pow (PI) 2)) (/ (pow (PI) 2) (pow u 2)))))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (pow (PI) 2) (pow u 2))) (+ (* 4 (/ (pow (PI) 2) u)) (+ (* 4 (pow (PI) 2)) (/ (pow (PI) 2) (pow u 2)))))))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) u)) (* 4 (pow (PI) 2))))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) u)) (* 4 (pow (PI) 2)))) u)) (* 4 (pow (PI) 2))))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) u)) (* 4 (pow (PI) 2)))) u)) (* 4 (pow (PI) 2))))) |
(/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) s) |
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(/ (* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) s) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) s)) (+ (* -4 (/ (pow (PI) 2) (* s u))) (+ (* 4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) (* s u))))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) s)) (+ (* -4 (/ (pow (PI) 2) (* s u))) (+ (* -1 (/ (pow (PI) 2) (* s (pow u 2)))) (+ (* 4 (/ (pow (PI) 2) s)) (+ (* 4 (/ (pow (PI) 2) (* s u))) (/ (pow (PI) 2) (* s (pow u 2))))))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) s)) (+ (* -4 (/ (pow (PI) 2) (* s u))) (+ (* -1 (/ (pow (PI) 2) (* s (pow u 2)))) (+ (* 4 (/ (pow (PI) 2) s)) (+ (* 4 (/ (pow (PI) 2) (* s u))) (/ (pow (PI) 2) (* s (pow u 2))))))))) |
(/ (* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) s) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) s)) (+ (* -1 (/ (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))) u)) (* 4 (/ (pow (PI) 2) s))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) s)) (+ (* -1 (/ (+ (* -4 (/ (pow (PI) 2) s)) (+ (* -1 (/ (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)) u)) (* 4 (/ (pow (PI) 2) s)))) u)) (* 4 (/ (pow (PI) 2) s))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) s)) (+ (* -1 (/ (+ (* -4 (/ (pow (PI) 2) s)) (+ (* -1 (/ (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)) u)) (* 4 (/ (pow (PI) 2) s)))) u)) (* 4 (/ (pow (PI) 2) s))))) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
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(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
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(* -1/2 (/ (* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) s)) |
(* (pow u 2) (+ (* -1/2 (/ (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))) u)) (+ (* -1/2 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) s)) (* 2 (/ (PI) u))))) |
(* (pow u 2) (+ (* -1 (/ (PI) (pow u 2))) (+ (* -1/2 (/ (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))) u)) (+ (* -1/2 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) s)) (+ (* -1/2 (/ (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)) (pow u 2))) (* 2 (/ (PI) u))))))) |
(* (pow u 2) (+ (* -1 (/ (PI) (pow u 2))) (+ (* -1/2 (/ (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))) u)) (+ (* -1/2 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) s)) (+ (* -1/2 (/ (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)) (pow u 2))) (* 2 (/ (PI) u))))))) |
(* -1/2 (/ (* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) s)) |
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2 |
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(* 1/2 (/ (pow (PI) 2) (pow s 2))) |
(/ (- (* s (PI)) (* -1/2 (pow (PI) 2))) (pow s 2)) |
(/ (- (* s (+ s (PI))) (* -1/2 (pow (PI) 2))) (pow s 2)) |
(/ (- (* s (+ s (PI))) (* -1/2 (pow (PI) 2))) (pow s 2)) |
1 |
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1 |
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(* -1 (PI)) |
(+ (* -1 (PI)) (/ (* s (* u (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) (exp (/ (PI) s)))) |
(+ (* -1 (PI)) (* u (+ (* -1/2 (* s (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s)))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s)))))) |
(+ (* -1 (PI)) (* u (+ (* u (+ (* -1/2 (* s (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s))))))) (* -1/6 (* s (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (exp (/ (PI) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 6) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 5) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 2)))))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s)))))) |
(* -1 (* s (log -1))) |
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))) |
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (+ (* -1/6 (/ (* s (- (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))))) (pow u 3))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))))) |
(* -1 (* s (log -1))) |
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* 1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) u))) u))) |
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* -1 (/ (+ (* -1/2 (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))))) (* 1/6 (/ (* s (- (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))))) u))) u))) u))) |
(* 1/16 (pow (PI) 2)) |
(+ (* -1/4 (* u (pow (PI) 2))) (* 1/16 (pow (PI) 2))) |
(+ (* 1/16 (pow (PI) 2)) (* u (+ (* -1/4 (pow (PI) 2)) (* 1/4 (* u (pow (PI) 2)))))) |
(+ (* 1/16 (pow (PI) 2)) (* u (+ (* -1/4 (pow (PI) 2)) (* 1/4 (* u (pow (PI) 2)))))) |
(* 1/4 (* (pow u 2) (pow (PI) 2))) |
(* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2)))) |
(* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (+ (* 1/16 (/ (pow (PI) 2) (pow u 2))) (* 1/4 (pow (PI) 2))))) |
(* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (+ (* 1/16 (/ (pow (PI) 2) (pow u 2))) (* 1/4 (pow (PI) 2))))) |
(* 1/4 (* (pow u 2) (pow (PI) 2))) |
(* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1/16 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))) u)) (* 1/4 (pow (PI) 2)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1/16 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))) u)) (* 1/4 (pow (PI) 2)))) |
(* -1/2 (* u (PI))) |
(* -1/2 (* u (PI))) |
(* -1/2 (* u (PI))) |
(* -1/2 (* u (PI))) |
(* -1/2 (* u (PI))) |
(* -1/2 (* u (PI))) |
(* -1/2 (* u (PI))) |
(* -1/2 (* u (PI))) |
(* -1/2 (* u (PI))) |
(* -1/2 (* u (PI))) |
(* -1/2 (* u (PI))) |
(* -1/2 (* u (PI))) |
(* 2 (/ (pow s 2) (pow (PI) 2))) |
(* (pow s 2) (+ (* -4 (/ s (pow (PI) 3))) (* 2 (/ 1 (pow (PI) 2))))) |
(* (pow s 2) (+ (* s (- (* 16 (/ (pow s 2) (pow (PI) 5))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2))))) |
(* (pow s 2) (+ (* s (- (* (pow s 2) (+ (* -32 (/ s (pow (PI) 6))) (* 16 (/ 1 (pow (PI) 5))))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2))))) |
1/2 |
(+ 1/2 (* -1/4 (/ (PI) s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2)))) (* 1/4 (/ (PI) s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* -1/16 (pow (PI) 3))) (pow s 3)))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* 1/8 (/ (pow (PI) 2) (pow s 2))) (* 1/4 (/ (PI) s))))) |
1/2 |
(+ 1/2 (* -1/4 (/ (PI) s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (PI) 2) s)) (* 1/8 (/ (pow (PI) 2) s))) (* -1/4 (PI))) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (pow (PI) 3) s)) (* 1/2 (/ (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) s))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) s)) (* -1/4 (PI))) s))) |
(* -1 (* s (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))) |
(* -1 (* s (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))) |
(* -1 (* s (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))) |
(* -1 (* s (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))) |
(* 4 (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI)))) |
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(* -4 (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI)))) |
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(* -1 (PI)) |
(+ (* -1 (PI)) (/ (* s (* u (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) (exp (/ (PI) s)))) |
(+ (* -1 (PI)) (* u (+ (* -1/2 (* s (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s)))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s)))))) |
(+ (* -1 (PI)) (* u (+ (* u (+ (* -1/2 (* s (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s))))))) (* -1/6 (* s (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (exp (/ (PI) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 6) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 5) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 2)))))))))) (/ (* s (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s)))))) |
(* -1 (* s (log -1))) |
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))) |
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (pow u 2))) (+ (* -1/6 (/ (* s (- (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))))) (pow u 3))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))))) |
(* -1 (* s (log -1))) |
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* 1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) u))) u))) |
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* -1 (/ (+ (* -1/2 (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))))) (* 1/6 (/ (* s (- (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))))) u))) u))) u))) |
| Outputs |
|---|
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) |
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
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#s(literal 1/2 binary32) |
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(* -1 (PI)) |
(neg.f32 (PI.f32)) |
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(* -1 (* s (log -1))) |
(*.f32 (neg.f32 s) (log.f32 #s(literal -1 binary32))) |
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
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(* -1 (* s (log -1))) |
(*.f32 (neg.f32 s) (log.f32 #s(literal -1 binary32))) |
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
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(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* 1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) u))) u))) |
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(* -1 (PI)) |
(neg.f32 (PI.f32)) |
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(* -1 (* s (log -1))) |
(*.f32 (neg.f32 s) (log.f32 #s(literal -1 binary32))) |
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
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(* -1 (* s (log -1))) |
(*.f32 (neg.f32 s) (log.f32 #s(literal -1 binary32))) |
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
(fma.f32 s (neg.f32 (log.f32 #s(literal -1 binary32))) (/.f32 s (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) |
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* 1/2 (/ (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) u))) u))) |
(neg.f32 (fma.f32 s (log.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 s (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32))))) u) (/.f32 (neg.f32 s) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) u))) |
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -1 (/ s (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (* -1 (/ (+ (* -1/2 (* s (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))))) (* 1/6 (/ (* s (- (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))))) u))) u))) u))) |
(neg.f32 (fma.f32 s (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 (neg.f32 s) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 s (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal 6 binary32) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32)))) (/.f32 #s(literal -6 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 3 binary32)))))) u)) (*.f32 (*.f32 #s(literal -1/2 binary32) s) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 2 binary32)))))) u)) u))) |
Compiled 156 613 to 13 290 computations (91.5% saved)
55 alts after pruning (52 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 800 | 39 | 2 839 |
| Fresh | 9 | 13 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 811 | 55 | 2 866 |
| Status | Accuracy | Program |
|---|---|---|
| 8.3% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (exp.f32 (log.f32 (PI.f32))) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 10.0% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) u) (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 10.3% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (fma.f32 u (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal 1/4 binary32) u #s(literal -1/4 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 10.0% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (*.f32 (*.f32 (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (*.f32 (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))))) (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (*.f32 (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 9.9% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u u) u) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/8 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/64 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) (-.f32 (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32)))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 8.3% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 10.1% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 10.2% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 10.2% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| ✓ | 10.2% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
| 10.2% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (/.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32) (neg.f32 (*.f32 (*.f32 (*.f32 u (PI.f32)) (*.f32 u (PI.f32))) #s(literal 1/4 binary32)))) (-.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal -4 binary32))) | |
| 10.2% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32)) (-.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) (/.f32 (*.f32 (*.f32 (*.f32 u (PI.f32)) (*.f32 u (PI.f32))) #s(literal 1/4 binary32)) (-.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))))) #s(literal -4 binary32))) | |
| 10.2% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))) | |
| ▶ | 10.1% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -4 binary32))) |
| 6.4% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) u)) #s(literal -4 binary32))) | |
| 10.0% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 u (fma.f32 #s(literal 1/4 binary32) (/.f32 (PI.f32) u) (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 8.8% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| ▶ | 10.0% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 u u) (fma.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) u) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)))) (neg.f32 u)))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
| 10.2% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 u u) (fma.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u u)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) (PI.f32))) u)))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 9.9% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (/.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32) (neg.f32 (*.f32 (*.f32 (*.f32 u (PI.f32)) (*.f32 u (PI.f32))) #s(literal 1/4 binary32)))) (-.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 9.8% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32) (neg.f32 (*.f32 (*.f32 (*.f32 u (PI.f32)) (*.f32 u (PI.f32))) #s(literal 1/4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 10.1% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 7.7% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 10.0% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 u (fma.f32 #s(literal 1/4 binary32) (/.f32 (PI.f32) u) (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 10.2% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 u u) (fma.f32 #s(literal -4 binary32) (+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) u) (*.f32 (PI.f32) (PI.f32))) (-.f32 (fma.f32 #s(literal 4 binary32) (fma.f32 (PI.f32) (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) u)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u u))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u u))))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 9.0% | (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u u) (fma.f32 #s(literal -4 binary32) (+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s u))) (-.f32 (fma.f32 #s(literal 4 binary32) (+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s u))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s (*.f32 u u)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s (*.f32 u u)))))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 12.9% | (/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal 0 binary32)) s) | |
| 10.1% | (/.f32 (-.f32 (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 16 binary32)) #s(literal 0 binary32)) (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32)))) (-.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -4 binary32)) (/.f32 #s(literal 0 binary32) s))) | |
| 10.1% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 16 binary32)) #s(literal 0 binary32))))) | |
| ▶ | 10.1% | (/.f32 #s(literal 0 binary32) s) |
| 8.2% | (*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal -64 binary32) (/.f32 #s(literal 0 binary32) (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -4 binary32)) (-.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -4 binary32)) (/.f32 #s(literal 0 binary32) s)) (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32)))))) | |
| 12.9% | (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)) | |
| 64.5% | (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 39.5% | (*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 s) (neg.f32 s)) (*.f32 #s(literal 0 binary32) (neg.f32 s))))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32)))) | |
| 42.1% | (*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (pow.f32 s #s(literal 3/2 binary32)) (neg.f32 (pow.f32 s #s(literal 3/2 binary32))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 s) (neg.f32 s)) (*.f32 #s(literal 0 binary32) (neg.f32 s))))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 97.0% | (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 10.1% | (*.f32 (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 16 binary32)) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))))) | |
| 12.9% | (*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (-.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (neg.f32 (PI.f32)) u)) u))) | |
| 12.9% | (*.f32 (*.f32 u u) (-.f32 (+.f32 (/.f32 #s(literal 0 binary32) u) (+.f32 (/.f32 #s(literal 0 binary32) s) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) u) (/.f32 #s(literal 0 binary32) (*.f32 u u))))) (/.f32 (PI.f32) (*.f32 u u)))) | |
| 98.3% | (*.f32 (neg.f32 s) (-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) #s(literal -1 binary32))) (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))) | |
| 97.4% | (*.f32 (neg.f32 s) (-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -3 binary32)) #s(literal -1 binary32))) (log.f32 (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))))) | |
| 12.8% | (*.f32 (neg.f32 s) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal -4 binary32) s))) | |
| 12.9% | (*.f32 (neg.f32 s) (*.f32 (/.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) s) #s(literal 4 binary32))) | |
| 99.0% | (*.f32 (neg.f32 s) (neg.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -3 binary32)) #s(literal -1 binary32)))))) | |
| 99.0% | (*.f32 (neg.f32 s) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) #s(literal -1 binary32)))))) | |
| 99.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 99.0% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| ▶ | 5.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| 98.8% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| ▶ | 99.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| ✓ | 99.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32))))))) #s(literal 1 binary32)))) |
| 98.9% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) #s(literal 1 binary32)))) | |
| 12.9% | (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) | |
| 12.8% | (neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) | |
| ✓ | 12.8% | (neg.f32 (PI.f32)) |
Compiled 5 626 to 2 383 computations (57.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (neg.f32 s) |
| ✓ | cost-diff | 64 | (+.f32 (/.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
| ✓ | cost-diff | 160 | (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) |
| ✓ | cost-diff | 160 | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 u u) (fma.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) u) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)))) (neg.f32 u)))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
| ✓ | cost-diff | 224 | (*.f32 (*.f32 u u) (fma.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) u) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)))) (neg.f32 u)))) |
| ✓ | cost-diff | 288 | (fma.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) u) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)))) |
| ✓ | cost-diff | 192 | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -4 binary32))) |
| ✓ | cost-diff | 256 | (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -4 binary32)) |
| ✓ | cost-diff | 352 | (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) |
| ✓ | cost-diff | 2112 | (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) |
| ✓ | cost-diff | 352 | (/.f32 #s(literal 0 binary32) s) |
| ✓ | cost-diff | 0 | (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (neg.f32 s) |
| ✓ | cost-diff | 160 | (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
| 13 180× | accelerator-lowering-fma.f32 |
| 13 180× | accelerator-lowering-fma.f64 |
| 4 330× | *-lowering-*.f32 |
| 4 330× | *-lowering-*.f64 |
| 2 494× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 854 |
| 1 | 169 | 846 |
| 2 | 431 | 794 |
| 3 | 1511 | 766 |
| 4 | 4085 | 753 |
| 5 | 6489 | 753 |
| 0 | 8125 | 725 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1))) |
(neg s) |
s |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1) |
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) |
1 |
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s))))) |
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
u |
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(/ 1 (+ 1 (exp (/ (neg (PI)) s)))) |
(+ 1 (exp (/ (neg (PI)) s))) |
(exp (/ (neg (PI)) s)) |
(/ (neg (PI)) s) |
(neg (PI)) |
(PI) |
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(+ 1 (exp (/ (PI) s))) |
(exp (/ (PI) s)) |
(/ (PI) s) |
(/ 1 (+ 1 (pow (E) (/ (PI) s)))) |
(+ 1 (pow (E) (/ (PI) s))) |
(pow (E) (/ (PI) s)) |
(E) |
(/ 0 s) |
0 |
s |
(+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s)) (* (* (PI) 1/4) -4)) |
-1/2 |
(/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s) |
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) |
(+ (* (PI) 1/4) (* u (* (PI) -1/2))) |
(PI) |
1/4 |
(* u (* (PI) -1/2)) |
u |
(* (PI) -1/2) |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16) |
-16 |
(+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0) |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) |
16 |
0 |
s |
(* (* (PI) 1/4) -4) |
(* (PI) 1/4) |
-4 |
(+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) 16) 0)) s)) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4)) |
-1/2 |
(/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) 16) 0)) s) |
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) 16) 0)) |
(+ (* (PI) 1/4) (* u (* (PI) -1/2))) |
(PI) |
1/4 |
(* u (* (PI) -1/2)) |
u |
(* (PI) -1/2) |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16) |
-16 |
(+ (* (* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) 16) 0) |
(* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) |
(* u u) |
(+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u))) |
(* (PI) (PI)) |
(/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)) |
(+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) |
-1/16 |
(/ (* (PI) (PI)) u) |
(* 1/4 (* (PI) (PI))) |
(neg u) |
16 |
0 |
s |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4) |
-4 |
(* (neg s) (log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(neg s) |
s |
(log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
(/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
1 |
(+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(/ (* u (* (PI) 1/2)) s) |
(* u (* (PI) 1/2)) |
u |
(* (PI) 1/2) |
(PI) |
1/2 |
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(+ 1 (exp (/ (PI) s))) |
(exp (/ (PI) s)) |
(/ (PI) s) |
| Outputs |
|---|
(* (neg s) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1))) |
(fma.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))))) #s(literal -1 binary32))) #s(literal 0 binary32)) |
(neg s) |
(neg.f32 s) |
s |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)) |
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))))) #s(literal -1 binary32))) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))))) #s(literal -1 binary32)) |
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))))) |
1 |
#s(literal 1 binary32) |
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s))))) |
(+.f32 (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))))) |
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 u (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
u |
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(/ 1 (+ 1 (exp (/ (neg (PI)) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) |
(+ 1 (exp (/ (neg (PI)) s))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))) |
(exp (/ (neg (PI)) s)) |
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) |
(/ (neg (PI)) s) |
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) |
(neg (PI)) |
(neg.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) |
(+ 1 (exp (/ (PI) s))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) |
(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
(/ (PI) s) |
(/.f32 (PI.f32) s) |
(/ 1 (+ 1 (pow (E) (/ (PI) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))) |
(+ 1 (pow (E) (/ (PI) s))) |
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s))) |
(pow (E) (/ (PI) s)) |
(pow.f32 (E.f32) (/.f32 (PI.f32) s)) |
(E) |
(E.f32) |
(/ 0 s) |
#s(literal 0 binary32) |
0 |
#s(literal 0 binary32) |
s |
(+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s)) (* (* (PI) 1/4) -4)) |
(neg.f32 (PI.f32)) |
-1/2 |
#s(literal -1/2 binary32) |
(/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s) |
#s(literal 0 binary32) |
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) |
#s(literal 0 binary32) |
(+ (* (PI) 1/4) (* u (* (PI) -1/2))) |
(*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) |
(PI) |
(PI.f32) |
1/4 |
#s(literal 1/4 binary32) |
(* u (* (PI) -1/2)) |
(*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) |
u |
(* (PI) -1/2) |
(*.f32 (PI.f32) #s(literal -1/2 binary32)) |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16) |
(*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) #s(literal -16 binary32)) |
-16 |
#s(literal -16 binary32) |
(+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0) |
(fma.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) #s(literal 16 binary32)) #s(literal 0 binary32)) |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) |
(*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32)))) |
16 |
#s(literal 16 binary32) |
0 |
#s(literal 0 binary32) |
s |
(* (* (PI) 1/4) -4) |
(neg.f32 (PI.f32)) |
(* (PI) 1/4) |
(*.f32 (PI.f32) #s(literal 1/4 binary32)) |
-4 |
#s(literal -4 binary32) |
(+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) 16) 0)) s)) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4)) |
(fma.f32 (*.f32 u (PI.f32)) #s(literal 2 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32)))) #s(literal 8 binary32) (fma.f32 (*.f32 u (fma.f32 u (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 0 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/16 binary32) u)) #s(literal 0 binary32)))) #s(literal -8 binary32) #s(literal 0 binary32))) s) (PI.f32))) |
-1/2 |
#s(literal -1/2 binary32) |
(/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) 16) 0)) s) |
(/.f32 (fma.f32 (fma.f32 u (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 0 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/16 binary32) u)) #s(literal 0 binary32))) (*.f32 u #s(literal 16 binary32)) (fma.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) #s(literal -16 binary32)) #s(literal 0 binary32))) s) |
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) 16) 0)) |
(fma.f32 (fma.f32 u (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 0 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/16 binary32) u)) #s(literal 0 binary32))) (*.f32 u #s(literal 16 binary32)) (fma.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) #s(literal -16 binary32)) #s(literal 0 binary32))) |
(+ (* (PI) 1/4) (* u (* (PI) -1/2))) |
(*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) |
(PI) |
(PI.f32) |
1/4 |
#s(literal 1/4 binary32) |
(* u (* (PI) -1/2)) |
(*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) |
u |
(* (PI) -1/2) |
(*.f32 (PI.f32) #s(literal -1/2 binary32)) |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16) |
(*.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) #s(literal -16 binary32)) |
-16 |
#s(literal -16 binary32) |
(+ (* (* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) 16) 0) |
(fma.f32 (fma.f32 u (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 0 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/16 binary32) u)) #s(literal 0 binary32))) (*.f32 u #s(literal 16 binary32)) #s(literal 0 binary32)) |
(* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) |
(*.f32 u (fma.f32 u (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 0 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/16 binary32) u)) #s(literal 0 binary32)))) |
(* u u) |
(*.f32 u u) |
(+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u))) |
(fma.f32 (PI.f32) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u))) (neg.f32 u))) #s(literal 0 binary32)) |
(* (PI) (PI)) |
(*.f32 (PI.f32) (PI.f32)) |
(/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)) |
(/.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1/16 binary32) u)) #s(literal 0 binary32)) u) |
(+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u))) |
-1/16 |
#s(literal -1/16 binary32) |
(/ (* (PI) (PI)) u) |
(/.f32 (*.f32 (PI.f32) (PI.f32)) u) |
(* 1/4 (* (PI) (PI))) |
(fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 0 binary32)) |
(neg u) |
(neg.f32 u) |
16 |
#s(literal 16 binary32) |
0 |
#s(literal 0 binary32) |
s |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4) |
(fma.f32 (*.f32 u (PI.f32)) #s(literal 2 binary32) (neg.f32 (PI.f32))) |
-4 |
#s(literal -4 binary32) |
(* (neg s) (log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(fma.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) #s(literal 0 binary32)) |
(neg s) |
(neg.f32 s) |
s |
(log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) |
(- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)) |
(/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
1 |
#s(literal 1 binary32) |
(+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(/ (* u (* (PI) 1/2)) s) |
(/.f32 (*.f32 (PI.f32) (*.f32 u #s(literal 1/2 binary32))) s) |
(* u (* (PI) 1/2)) |
(*.f32 (PI.f32) (*.f32 u #s(literal 1/2 binary32))) |
u |
(* (PI) 1/2) |
(*.f32 (PI.f32) #s(literal 1/2 binary32)) |
(PI) |
(PI.f32) |
1/2 |
#s(literal 1/2 binary32) |
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) |
(+ 1 (exp (/ (PI) s))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) |
(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
(/ (PI) s) |
(/.f32 (PI.f32) s) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| ✓ | accuracy | 99.8% | (/.f32 (PI.f32) s) |
| ✓ | accuracy | 99.7% | (exp.f32 (/.f32 (PI.f32) s)) |
| ✓ | accuracy | 20.2% | (PI.f32) |
| ✓ | accuracy | 99.8% | (/.f32 (*.f32 (PI.f32) (PI.f32)) u) |
| ✓ | accuracy | 99.5% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 86.2% | (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 u u) (fma.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) u) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)))) (neg.f32 u)))) #s(literal 16 binary32) #s(literal 0 binary32))) |
| ✓ | accuracy | 20.2% | (PI.f32) |
| ✓ | accuracy | 99.8% | (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) |
| ✓ | accuracy | 99.7% | (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) |
| ✓ | accuracy | 86.2% | (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) |
| ✓ | accuracy | 20.2% | (PI.f32) |
| ✓ | accuracy | 100.0% | (/.f32 #s(literal 0 binary32) s) |
| ✓ | accuracy | 99.7% | (exp.f32 (/.f32 (PI.f32) s)) |
| ✓ | accuracy | 99.6% | (pow.f32 (E.f32) (/.f32 (PI.f32) s)) |
| ✓ | accuracy | 20.2% | (PI.f32) |
| ✓ | accuracy | 20.2% | (E.f32) |
| 130.0ms | 218× | 0 | invalid |
| 45.0ms | 38× | 1 | valid |
Compiled 956 to 75 computations (92.2% saved)
ival-mult: 39.0ms (27.1% of total)ival-div: 38.0ms (26.4% of total)ival-add: 19.0ms (13.2% of total)ival-pow: 10.0ms (6.9% of total)ival-sub: 9.0ms (6.2% of total)ival-pi: 7.0ms (4.9% of total)ival-exp: 5.0ms (3.5% of total)ival-log: 5.0ms (3.5% of total)ival-neg: 4.0ms (2.8% of total)adjust: 3.0ms (2.1% of total)ival-e: 2.0ms (1.4% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (neg s)> |
#<alt (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1))> |
#<alt (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)> |
#<alt (/ 0 s)> |
#<alt (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0))> |
#<alt (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s)> |
#<alt (* (* (PI) 1/4) -4)> |
#<alt (+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s)) (* (* (PI) 1/4) -4))> |
#<alt (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI))))> |
#<alt (* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u))))> |
#<alt (+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) 16) 0)) s)) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4))> |
#<alt (+ (* (PI) 1/4) (* u (* (PI) -1/2)))> |
#<alt (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))> |
#<alt (log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))> |
#<alt (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)> |
#<alt (E)> |
#<alt (PI)> |
#<alt (pow (E) (/ (PI) s))> |
#<alt (exp (/ (PI) s))> |
#<alt (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2))))> |
#<alt (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) 16) 0))> |
#<alt (* (PI) (PI))> |
#<alt (/ (* (PI) (PI)) u)> |
#<alt (/ (PI) s)> |
#<alt (* (neg s) (log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))> |
| Outputs |
|---|
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s)> |
#<alt (/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))) s)> |
#<alt (/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2)))) s)> |
#<alt (/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (+ (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (* 1/96 (pow (PI) 4))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/192 (pow (PI) 5)) (* 1/480 (pow (PI) 5)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/480 (pow (PI) 5)) (+ (* 1/192 (pow (PI) 5)) (+ (* 1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 1/2 (* (PI) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/96 (pow (PI) 4)) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))))))))))) (pow s 4)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))))) s)> |
#<alt (* -1 (/ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) s))> |
#<alt (* -1 (/ (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2))) s))> |
#<alt (* -1 (/ (+ (* -1 (/ (* u (- (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))))) (pow s 3))) (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2)))) s))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/480 (pow (PI) 5)) (+ (* 1/192 (pow (PI) 5)) (+ (* 1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 1/2 (* (PI) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/96 (pow (PI) 4)) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))))))))) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (* 1/96 (pow (PI) 4))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/192 (pow (PI) 5)) (* 1/480 (pow (PI) 5)))))))) s)) (* u (- (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3))))))))) (pow s 3))) (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2)))) s))> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (/ (* (PI) (log (E))) s)> |
#<alt (+ (* -1 (/ (* u (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (* (PI) (log (E))) s)))) (/ (* (PI) (log (E))) s))> |
#<alt (+ (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (exp (/ (* (PI) (log (E))) s)))) (* 1/2 (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (* (PI) (log (E))) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (* (PI) (log (E))) s))))))))) (/ (* (PI) (log (E))) s))> |
#<alt (+ (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (exp (/ (* (PI) (log (E))) s)))) (* u (+ (* 1/6 (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (exp (/ (* (PI) (log (E))) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 6) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (* (PI) (log (E))) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 5) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (* (PI) (log (E))) s)) 2))))))) (* 1/2 (+ (* -1 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (* (PI) (log (E))) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (* (PI) (log (E))) s)))))))))) (/ (* (PI) (log (E))) s))> |
#<alt (log -1)> |
#<alt (- (log -1) (/ 1 (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))> |
#<alt (- (+ (log -1) (* 1/2 (/ (- (* 2 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))) (pow u 2)))) (/ 1 (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))> |
#<alt (- (+ (log -1) (+ (* 1/6 (/ (- (* 6 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))))) (pow u 3))) (* 1/2 (/ (- (* 2 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))) (pow u 2))))) (/ 1 (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))> |
#<alt (log -1)> |
#<alt (- (log -1) (/ 1 (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))> |
#<alt (+ (log -1) (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))) u)) (/ 1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) u)))> |
#<alt (+ (log -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (- (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) (* 6 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) u)) (* 1/2 (- (* 2 (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))))) u)) (/ 1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) u)))> |
#<alt (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))> |
#<alt (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))> |
#<alt (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))> |
#<alt (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1))> |
#<alt (* -4 (/ (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) s))> |
#<alt (/ (+ (* -4 (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E)))))) (* 1/2 (/ (+ (* -16 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) 2)) (* -2 (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) 2)) (* -4 (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))))))) s))) s)> |
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#<alt (* -4 (- (* -1/2 (* u (PI))) (* -1/4 (PI))))> |
#<alt (+ (* -4 (- (* -1/2 (* u (PI))) (* -1/4 (PI)))) (* -1/2 (/ (+ (* -16 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)))> |
#<alt (+ (* -4 (- (* -1/2 (* u (PI))) (* -1/4 (PI)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -128 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) (* -6 (+ (* -4 (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) (+ (* -2 (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/2 (* u (PI))) (* -1/4 (PI)))))))))) s)) (* 1/2 (+ (* -16 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) s)))> |
#<alt (+ (* -4 (- (* -1/2 (* u (PI))) (* -1/4 (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -1536 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 4)) (+ (* -384 (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2))) (+ (* -96 (* (+ (* -4 (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) (+ (* -2 (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) (+ (* -24 (+ (* -4 (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/96 (pow (PI) 4)) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))))) (+ (* -2 (* (+ (* -4 (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) (+ (* -2 (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) (+ (* 2 (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 8 (* (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))))))) (* -12 (pow (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) 2)))))) s)) (* 1/6 (+ (* -128 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) (* -6 (+ (* -4 (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) (+ (* -2 (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/2 (* u (PI))) (* -1/4 (PI)))))))))))) s)) (* 1/2 (+ (* -16 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) s)))> |
#<alt (* -1 (PI))> |
#<alt (+ (* -1 (PI)) (* 1/2 (/ (* u (* (PI) (pow (+ 1 (exp (/ (PI) s))) 2))) (exp (/ (PI) s)))))> |
#<alt (+ (* -1 (PI)) (* u (+ (* -1/2 (* s (* u (+ (* -1/4 (/ (* (pow (PI) 2) (pow (+ 1 (exp (/ (PI) s))) 4)) (* (pow s 2) (pow (exp (/ (PI) s)) 2)))) (* 1/2 (/ (* (pow (PI) 2) (pow (+ 1 (exp (/ (PI) s))) 3)) (* (pow s 2) (exp (/ (PI) s))))))))) (* 1/2 (/ (* (PI) (pow (+ 1 (exp (/ (PI) s))) 2)) (exp (/ (PI) s)))))))> |
#<alt (+ (* -1 (PI)) (* u (+ (* 1/2 (/ (* (PI) (pow (+ 1 (exp (/ (PI) s))) 2)) (exp (/ (PI) s)))) (* u (+ (* -1/2 (* s (+ (* -1/4 (/ (* (pow (PI) 2) (pow (+ 1 (exp (/ (PI) s))) 4)) (* (pow s 2) (pow (exp (/ (PI) s)) 2)))) (* 1/2 (/ (* (pow (PI) 2) (pow (+ 1 (exp (/ (PI) s))) 3)) (* (pow s 2) (exp (/ (PI) s)))))))) (* -1/6 (* s (* u (+ (* -3/4 (/ (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 4)) (* (pow s 3) (exp (/ (PI) s))))) (+ (* -1/4 (/ (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 6)) (* (pow s 3) (pow (exp (/ (PI) s)) 3)))) (* 3/4 (/ (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 5)) (* (pow s 3) (pow (exp (/ (PI) s)) 2))))))))))))))> |
#<alt (* -1 (* s (log -1)))> |
#<alt (+ (* -1 (* s (log -1))) (* 2 (/ (pow s 2) (* u (PI)))))> |
#<alt (+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (+ (* -4 (/ (pow s 2) (pow (PI) 2))) (* 8 (/ (pow s 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s)))))))) (pow u 2))) (* 2 (/ (pow s 2) (* u (PI))))))> |
#<alt (+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (+ (* -4 (/ (pow s 2) (pow (PI) 2))) (* 8 (/ (pow s 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s)))))))) (pow u 2))) (+ (* -1/6 (/ (* s (+ (* -48 (/ (pow s 3) (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2)))) (+ (* -16 (/ (pow s 3) (pow (PI) 3))) (* 48 (/ (pow s 3) (* (pow (PI) 3) (+ 1 (exp (/ (PI) s))))))))) (pow u 3))) (* 2 (/ (pow s 2) (* u (PI)))))))> |
#<alt (* -1 (* s (log -1)))> |
#<alt (+ (* -1 (* s (log -1))) (* 2 (/ (pow s 2) (* u (PI)))))> |
#<alt (+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -2 (/ (pow s 2) (PI))) (* 1/2 (/ (* s (+ (* -4 (/ (pow s 2) (pow (PI) 2))) (* 8 (/ (pow s 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s)))))))) u))) u)))> |
#<alt (+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -2 (/ (pow s 2) (PI))) (* -1 (/ (+ (* -1/2 (* s (+ (* -4 (/ (pow s 2) (pow (PI) 2))) (* 8 (/ (pow s 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))))) (* 1/6 (/ (* s (+ (* -48 (/ (pow s 3) (* (pow (PI) 3) (+ 1 (exp (/ (PI) s)))))) (+ (* 16 (/ (pow s 3) (pow (PI) 3))) (* 48 (/ (pow s 3) (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2))))))) u))) u))) u)))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | u | @ | inf | (+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) 16) 0)) s)) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4)) |
| 26.0ms | s | @ | 0 | (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)) |
| 12.0ms | u | @ | 0 | (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)) |
| 11.0ms | s | @ | 0 | (+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) 16) 0)) s)) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4)) |
| 6.0ms | s | @ | inf | (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)) |
| 1× | batch-egg-rewrite |
| 5 244× | accelerator-lowering-fma.f32 |
| 5 244× | accelerator-lowering-fma.f64 |
| 4 628× | *-lowering-*.f32 |
| 4 628× | *-lowering-*.f64 |
| 2 790× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 363 |
| 1 | 479 | 353 |
| 2 | 4991 | 353 |
| 0 | 8895 | 318 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(neg s) |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1)) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (pow (E) (/ (PI) s)))))) 1) |
(/ 0 s) |
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) |
(/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s) |
(* (* (PI) 1/4) -4) |
(+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) 16) 0)) s)) (* (* (PI) 1/4) -4)) |
(+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) |
(* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) |
(+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) 16) 0)) s)) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4)) |
(+ (* (PI) 1/4) (* u (* (PI) -1/2))) |
(+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
(E) |
(PI) |
(pow (E) (/ (PI) s)) |
(exp (/ (PI) s)) |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (+ (* (PI) 1/4) (* u (* (PI) -1/2)))) |
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* u u) (+ (* 1/4 (* (PI) (PI))) (/ (+ (* -1/16 (/ (* (PI) (PI)) u)) (* 1/4 (* (PI) (PI)))) (neg u)))) 16) 0)) |
(* (PI) (PI)) |
(/ (* (PI) (PI)) u) |
(/ (PI) s) |
(* (neg s) (log (- (/ 1 (+ (/ (* u (* (PI) 1/2)) s) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
| Outputs |
|---|
(+.f32 (*.f32 u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) (*.f32 u (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u)) |
(fma.f32 u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (*.f32 u (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) u (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u)) |
(/.f32 (*.f32 u (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) |
(/.f32 (*.f32 u (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))) #s(literal -3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32)))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))) #s(literal -2 binary32)))) |
(/.f32 (*.f32 u (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))) #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(/.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) u) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))) #s(literal -3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32))) u) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))) #s(literal -2 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))) #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32))) u) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u) |
(neg.f32 s) |
(+.f32 #s(literal 0 binary32) (neg.f32 s)) |
(-.f32 #s(literal 0 binary32) s) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 s s) s)) (+.f32 #s(literal 0 binary32) (fma.f32 s s (*.f32 #s(literal 0 binary32) s)))) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) |
(*.f32 s #s(literal -1 binary32)) |
(*.f32 #s(literal -1 binary32) s) |
(neg.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -3 binary32)) #s(literal -1 binary32))))) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) #s(literal -1 binary32))))) |
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#s(literal 0 binary32) |
#s(literal 0 binary32) |
#s(literal 0 binary32) |
(neg.f32 (PI.f32)) |
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(pow.f32 (/.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)) |
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(/.f32 (fma.f32 (*.f32 (*.f32 u u) u) (*.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/64 binary32))) (fma.f32 u (*.f32 u (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (-.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 u u))) (-.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) |
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(/.f32 (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 u u)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32))) (-.f32 (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) |
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(*.f32 (-.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))))) |
(exp.f32 (log.f32 (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 u s))) |
(+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 u s)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(pow.f32 (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 s (exp.f32 (/.f32 (PI.f32) s)) s) (fma.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) s)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 u s))) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 u u)) (*.f32 (neg.f32 s) (neg.f32 s)))) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 u u) u) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/8 binary32)) (*.f32 (*.f32 s s) s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32)))) #s(literal -1 binary32)) |
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(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 u s))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 u s)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 u s))) |
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 s)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 u (/.f32 #s(literal 1 binary32) s)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 u s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 u s))) |
(fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 (*.f32 u (PI.f32)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 (*.f32 u (PI.f32)) (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -1/2 binary32)) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 u s))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 (PI.f32) s)) (expm1.f32 (/.f32 (PI.f32) s)) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 u s))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 (PI.f32) s))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 u s))) |
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 u u)) (*.f32 (neg.f32 s) (neg.f32 s))) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (exp.f32 (/.f32 (PI.f32) s)) s) (fma.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) s))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 u s))) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 u u)) (*.f32 (neg.f32 s) (neg.f32 s)))) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 u u) u) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/8 binary32)) (*.f32 (*.f32 s s) s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 u u)) (*.f32 (neg.f32 s) (neg.f32 s))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32))))) |
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(/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) s) (fma.f32 s (exp.f32 (/.f32 (PI.f32) s)) s)) |
(/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) s) (*.f32 #s(literal 1 binary32) (fma.f32 s (exp.f32 (/.f32 (PI.f32) s)) s))) |
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(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 u u) u) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/8 binary32)) (*.f32 (*.f32 s s) s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 u s))) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 u u)) (*.f32 (neg.f32 s) (neg.f32 s))))) |
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(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 u u) u) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/8 binary32)) (*.f32 (*.f32 s s) s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -3 binary32))) (*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 u s))) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 u u)) (*.f32 (neg.f32 s) (neg.f32 s)))))) |
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(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 s (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) #s(literal 1 binary32))) (*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 s (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) |
(/.f32 (+.f32 (neg.f32 s) (*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) s)) |
(/.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 s) (*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) (*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (neg.f32 s))) |
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 (/.f32 s (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 1 binary32))) (*.f32 (/.f32 s (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
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(E.f32) |
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(pow.f32 (/.f32 u (*.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 u (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 u (*.f32 (PI.f32) (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) |
(/.f32 (*.f32 (PI.f32) (PI.f32)) u) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 u (*.f32 (PI.f32) (PI.f32))))) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (neg.f32 u)) |
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) u) |
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32)) u) |
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) u)) |
(*.f32 (PI.f32) (/.f32 (PI.f32) u)) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) u)) |
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 (PI.f32) u))) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 (PI.f32) u))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal -1 binary32) u)) |
(*.f32 (/.f32 #s(literal 1 binary32) u) (*.f32 (PI.f32) (PI.f32))) |
(*.f32 (/.f32 (PI.f32) u) (PI.f32)) |
(neg.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) |
(exp.f32 (*.f32 (log.f32 (/.f32 s (PI.f32))) #s(literal -1 binary32))) |
(+.f32 (/.f32 (PI.f32) s) #s(literal 0 binary32)) |
(+.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) |
(+.f32 (log.f32 (pow.f32 (E.f32) (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32)))) (log.f32 (pow.f32 (E.f32) (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32))))) |
(+.f32 (log.f32 (exp.f32 (*.f32 #s(literal 2/3 binary32) (/.f32 (PI.f32) s)))) (log.f32 (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 (PI.f32) s))))) |
(+.f32 (log.f32 (exp.f32 (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s))) (log.f32 (exp.f32 (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s)))) |
(pow.f32 (/.f32 s (PI.f32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 s (PI.f32)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s) #s(literal 0 binary32)) |
(fma.f32 (PI.f32) (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) |
(fma.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32) #s(literal 0 binary32)) |
(fma.f32 (neg.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (neg.f32 s)) #s(literal 0 binary32)) |
(fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) #s(literal 0 binary32)) |
(fma.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (E.f32) (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32)))) #s(literal 0 binary32)) |
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 0 binary32)) |
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s) #s(literal 0 binary32)) |
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 0 binary32)) |
(fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) s) #s(literal 0 binary32)) |
(fma.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32) #s(literal 0 binary32)) |
(fma.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32)) (log.f32 (*.f32 (E.f32) (E.f32))) #s(literal 0 binary32)) |
(fma.f32 (fma.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32) (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32))) #s(literal 1 binary32) #s(literal 0 binary32)) |
(fma.f32 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32))) #s(literal 1 binary32) #s(literal 0 binary32)) |
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) |
(/.f32 #s(literal 1 binary32) (/.f32 s (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (PI.f32)) #s(literal 1 binary32))) |
(/.f32 (PI.f32) s) |
(/.f32 (PI.f32) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 (PI.f32)) (neg.f32 s)) |
(/.f32 #s(literal -1 binary32) (/.f32 s (neg.f32 (PI.f32)))) |
(/.f32 (/.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32)) s) |
(*.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)) |
(*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (/.f32 (PI.f32) s) #s(literal 1 binary32)) |
(*.f32 (neg.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (neg.f32 s))) |
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) |
(*.f32 #s(literal 2 binary32) (log.f32 (pow.f32 (E.f32) (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32))))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 #s(literal 1 binary32) s))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s)) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) s))) |
(*.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) s)) |
(*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) |
(*.f32 (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32)) (log.f32 (*.f32 (E.f32) (E.f32)))) |
(*.f32 (fma.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32) (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32))) #s(literal 1 binary32)) |
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 (PI.f32) s) #s(literal 1/2 binary32))) #s(literal 1 binary32)) |
(log.f32 (exp.f32 (/.f32 (PI.f32) s))) |
(neg.f32 (*.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))) |
(-.f32 #s(literal 0 binary32) (*.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))) |
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))) |
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))) |
(*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) (neg.f32 s)) |
(*.f32 #s(literal -1 binary32) (*.f32 s (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))) |
(*.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) #s(literal -1 binary32)) s) |
| 1× | egg-herbie |
| 9 166× | accelerator-lowering-fma.f32 |
| 9 166× | accelerator-lowering-fma.f64 |
| 6 006× | +-lowering-+.f64 |
| 6 006× | +-lowering-+.f32 |
| 4 530× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1305 | 15477 |
| 1 | 4233 | 11816 |
| 0 | 8727 | 10908 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s) |
(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))) s) |
(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2)))) s) |
(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (+ (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (* 1/96 (pow (PI) 4))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/192 (pow (PI) 5)) (* 1/480 (pow (PI) 5)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/480 (pow (PI) 5)) (+ (* 1/192 (pow (PI) 5)) (+ (* 1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 1/2 (* (PI) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/96 (pow (PI) 4)) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))))))))))) (pow s 4)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))))) s) |
(* -1 (/ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) s)) |
(* -1 (/ (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2))) s)) |
(* -1 (/ (+ (* -1 (/ (* u (- (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))))) (pow s 3))) (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2)))) s)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u (- (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/480 (pow (PI) 5)) (+ (* 1/192 (pow (PI) 5)) (+ (* 1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 1/2 (* (PI) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/96 (pow (PI) 4)) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))))))))))))) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (* 1/96 (pow (PI) 4))))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/12 (* (pow (PI) 3) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/192 (pow (PI) 5)) (* 1/480 (pow (PI) 5)))))))) s)) (* u (- (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3))))))))) (pow s 3))) (+ (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (/ (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (pow s 2)))) s)) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(/ (* (PI) (log (E))) s) |
(+ (* -1 (/ (* u (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (* (PI) (log (E))) s)))) (/ (* (PI) (log (E))) s)) |
(+ (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (exp (/ (* (PI) (log (E))) s)))) (* 1/2 (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (* (PI) (log (E))) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (* (PI) (log (E))) s))))))))) (/ (* (PI) (log (E))) s)) |
(+ (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (exp (/ (* (PI) (log (E))) s)))) (* u (+ (* 1/6 (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (exp (/ (* (PI) (log (E))) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 6) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (* (PI) (log (E))) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 5) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (* (PI) (log (E))) s)) 2))))))) (* 1/2 (+ (* -1 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (* (PI) (log (E))) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (* (PI) (log (E))) s)))))))))) (/ (* (PI) (log (E))) s)) |
(log -1) |
(- (log -1) (/ 1 (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
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(exp (/ (* (PI) (log (E))) s)) |
(+ (exp (/ (* (PI) (log (E))) s)) (* -1 (* u (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))) |
(+ (exp (/ (* (PI) (log (E))) s)) (* u (- (* u (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))) (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))) |
(+ (exp (/ (* (PI) (log (E))) s)) (* u (- (* u (- (* -1 (* u (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 4) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (* -1 (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 3) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))))) (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))) |
-1 |
(- (/ 1 (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) 1) |
(- (/ 1 (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (+ 1 (/ 1 (* (pow u 2) (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))))) |
(- (+ (/ 1 (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (/ 1 (* (pow u 3) (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) (+ 1 (/ 1 (* (pow u 2) (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))))) |
-1 |
(- (/ 1 (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) 1) |
(- (* -1 (/ (- (/ 1 (* u (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) u)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (* u (* (pow (+ 1 (exp (/ (* (PI) (log (E))) s))) 2) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (/ 1 (* (+ 1 (exp (/ (* (PI) (log (E))) s))) (pow (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) u)) (/ 1 (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) u)) 1) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1) |
1 |
(+ 1 (* -4 (/ (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) s))) |
(- (+ 1 (* -1 (/ (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) 2)) (* -4 (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))))) (pow s 2)))) (* 4 (/ (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) s))) |
(- (+ 1 (* -1 (/ (+ (* -2 (* (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) 2)) (* -4 (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))))) (+ (* 4 (- (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))) (+ (* -1/16 (* (pow (PI) 3) (pow (log (E)) 3))) (* 1/24 (* (pow (PI) 3) (pow (log (E)) 3))))))) (* 8 (* (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))))))) (pow s 3)))) (+ (* -8 (/ (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) 2) (pow s 2))) (+ (* -4 (/ (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))) (pow s 2))) (* 4 (/ (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) s))))) |
1 |
(+ 1 (* 4 (/ (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (* (PI) (log (E))))) s))) |
(+ 1 (* -1 (/ (- (+ (* -8 (/ (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (* (PI) (log (E))))) 2) s)) (* -4 (/ (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))) s))) (* 4 (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (* (PI) (log (E))))))) s))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* -8 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (* (PI) (log (E))))) 2)) (* -4 (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))))) (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (* (PI) (log (E)))))) s)) (+ (* 4 (/ (- (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/24 (* (pow (PI) 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow (PI) 3) (pow (log (E)) 3))) (* 1/2 (* (PI) (* (log (E)) (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))))))))) s)) (* 8 (/ (* (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2)))) (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (* (PI) (log (E)))))) s)))) (+ (* -8 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (* (PI) (log (E))))) 2)) (* -4 (+ (* -1/8 (* (pow (PI) 2) (pow (log (E)) 2))) (* 1/8 (* (pow (PI) 2) (pow (log (E)) 2))))))) s)) (* 4 (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (* (PI) (log (E))))))) s))) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(+ (* -1 (pow (PI) 2)) (pow (PI) 2)) |
(+ (* -1 (pow (PI) 2)) (+ (* u (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) (pow (PI) 2))) |
(+ (* -1 (pow (PI) 2)) (+ (* u (+ (* -4 (pow (PI) 2)) (+ (* 4 (pow (PI) 2)) (* u (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))))))) (pow (PI) 2))) |
(+ (* -1 (pow (PI) 2)) (+ (* u (+ (* -4 (pow (PI) 2)) (+ (* 4 (pow (PI) 2)) (* u (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))))))) (pow (PI) 2))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* -4 (pow (PI) 2)) (+ (* 4 (/ (pow (PI) 2) u)) (* 4 (pow (PI) 2)))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (pow (PI) 2) (pow u 2))) (+ (* 4 (/ (pow (PI) 2) u)) (+ (* 4 (pow (PI) 2)) (/ (pow (PI) 2) (pow u 2)))))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (pow (PI) 2) (pow u 2))) (+ (* 4 (/ (pow (PI) 2) u)) (+ (* 4 (pow (PI) 2)) (/ (pow (PI) 2) (pow u 2)))))))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) u)) (* 4 (pow (PI) 2))))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) u)) (* 4 (pow (PI) 2)))) u)) (* 4 (pow (PI) 2))))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) u)) (* 4 (pow (PI) 2)))) u)) (* 4 (pow (PI) 2))))) |
(/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) s) |
(+ (* -1 (/ (pow (PI) 2) s)) (+ (* u (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s)))) (/ (pow (PI) 2) s))) |
(+ (* -1 (/ (pow (PI) 2) s)) (+ (* u (+ (* -4 (/ (pow (PI) 2) s)) (+ (* 4 (/ (pow (PI) 2) s)) (* u (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))))))) (/ (pow (PI) 2) s))) |
(+ (* -1 (/ (pow (PI) 2) s)) (+ (* u (+ (* -4 (/ (pow (PI) 2) s)) (+ (* 4 (/ (pow (PI) 2) s)) (* u (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))))))) (/ (pow (PI) 2) s))) |
(/ (* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) s) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) s)) (+ (* -4 (/ (pow (PI) 2) (* s u))) (+ (* 4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) (* s u))))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) s)) (+ (* -4 (/ (pow (PI) 2) (* s u))) (+ (* -1 (/ (pow (PI) 2) (* s (pow u 2)))) (+ (* 4 (/ (pow (PI) 2) s)) (+ (* 4 (/ (pow (PI) 2) (* s u))) (/ (pow (PI) 2) (* s (pow u 2))))))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) s)) (+ (* -4 (/ (pow (PI) 2) (* s u))) (+ (* -1 (/ (pow (PI) 2) (* s (pow u 2)))) (+ (* 4 (/ (pow (PI) 2) s)) (+ (* 4 (/ (pow (PI) 2) (* s u))) (/ (pow (PI) 2) (* s (pow u 2))))))))) |
(/ (* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) s) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) s)) (+ (* -1 (/ (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))) u)) (* 4 (/ (pow (PI) 2) s))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) s)) (+ (* -1 (/ (+ (* -4 (/ (pow (PI) 2) s)) (+ (* -1 (/ (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)) u)) (* 4 (/ (pow (PI) 2) s)))) u)) (* 4 (/ (pow (PI) 2) s))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) s)) (+ (* -1 (/ (+ (* -4 (/ (pow (PI) 2) s)) (+ (* -1 (/ (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)) u)) (* 4 (/ (pow (PI) 2) s)))) u)) (* 4 (/ (pow (PI) 2) s))))) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s) |
(+ (* -1 (PI)) (* -1/2 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) s))) |
(+ (* -1 (PI)) (+ (* -1/2 (* u (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))))) (* -1/2 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) s)))) |
(+ (* -1 (PI)) (+ (* -1/2 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) s)) (* u (+ (* -1/2 (* u (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))))) (* -1/2 (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s)))))))) |
(+ (* -1 (PI)) (+ (* -1/2 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) s)) (* u (+ (* -1/2 (* u (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))))) (* -1/2 (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s)))))))) |
(* -1/2 (/ (* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) s)) |
(* (pow u 2) (+ (* -1/2 (/ (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))) u)) (* -1/2 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) s)))) |
(* (pow u 2) (+ (* -1 (/ (PI) (pow u 2))) (+ (* -1/2 (/ (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))) u)) (+ (* -1/2 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) s)) (* -1/2 (/ (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)) (pow u 2))))))) |
(* (pow u 2) (+ (* -1 (/ (PI) (pow u 2))) (+ (* -1/2 (/ (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))) u)) (+ (* -1/2 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) s)) (* -1/2 (/ (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)) (pow u 2))))))) |
(* -1/2 (/ (* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) s)) |
(* (pow u 2) (+ (* -1/2 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) s)) (* 1/2 (/ (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))) u)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (PI)) (* -1/2 (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)))) u)) (* -1/2 (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))))) u)) (* -1/2 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) s)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (PI)) (* -1/2 (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)))) u)) (* -1/2 (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))))) u)) (* -1/2 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) s)))) |
(* -1/2 (/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))) s)) |
(/ (+ (* -1 (* s (PI))) (* -1/2 (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))))) s) |
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(/ (+ (* -1 (* s (PI))) (* -1/2 (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2))))) s) |
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(* -1/16 (/ (pow (PI) 2) u)) |
(/ (+ (* -1/16 (pow (PI) 2)) (* 1/4 (* u (pow (PI) 2)))) u) |
(/ (+ (* -1/16 (pow (PI) 2)) (* 1/4 (* u (pow (PI) 2)))) u) |
(/ (+ (* -1/16 (pow (PI) 2)) (* 1/4 (* u (pow (PI) 2)))) u) |
(* 1/4 (pow (PI) 2)) |
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(* 1/4 (pow (PI) 2)) |
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(* 1/16 (pow (PI) 2)) |
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(+ (* 1/16 (pow (PI) 2)) (* u (+ (* -1/4 (pow (PI) 2)) (* 1/4 (* u (pow (PI) 2)))))) |
(* 1/4 (* (pow u 2) (pow (PI) 2))) |
(* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2)))) |
(* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (+ (* 1/16 (/ (pow (PI) 2) (pow u 2))) (* 1/4 (pow (PI) 2))))) |
(* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (+ (* 1/16 (/ (pow (PI) 2) (pow u 2))) (* 1/4 (pow (PI) 2))))) |
(* 1/4 (* (pow u 2) (pow (PI) 2))) |
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(* (pow u 2) (+ (* -1 (/ (+ (* -1/16 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))) u)) (* 1/4 (pow (PI) 2)))) |
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(* -1/2 (/ (* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) s)) |
(* (pow u 2) (+ (* -1/2 (/ (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))) u)) (+ (* -1/2 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) s)) (* 2 (/ (PI) u))))) |
(* (pow u 2) (+ (* -1 (/ (PI) (pow u 2))) (+ (* -1/2 (/ (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))) u)) (+ (* -1/2 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) s)) (+ (* -1/2 (/ (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)) (pow u 2))) (* 2 (/ (PI) u))))))) |
(* (pow u 2) (+ (* -1 (/ (PI) (pow u 2))) (+ (* -1/2 (/ (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))) u)) (+ (* -1/2 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) s)) (+ (* -1/2 (/ (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)) (pow u 2))) (* 2 (/ (PI) u))))))) |
(* -1/2 (/ (* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) s)) |
(* (pow u 2) (+ (* -1 (/ (+ (* -2 (PI)) (* -1/2 (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))))) u)) (* -1/2 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) s)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -2 (PI)) (+ (* -1 (/ (+ (* -1 (PI)) (* -1/2 (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)))) u)) (* -1/2 (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s)))))) u)) (* -1/2 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) s)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -2 (PI)) (+ (* -1 (/ (+ (* -1 (PI)) (* -1/2 (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)))) u)) (* -1/2 (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s)))))) u)) (* -1/2 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) s)))) |
(* -1/2 (/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (* (pow u 2) (+ (* -1 (/ (+ (* -1/16 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))) u)) (* 1/4 (pow (PI) 2)))))) s)) |
(/ (+ (* -4 (* s (+ (* -1/2 (* u (PI))) (* 1/4 (PI))))) (* -1/2 (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (* (pow u 2) (+ (* -1 (/ (+ (* -1/16 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))) u)) (* 1/4 (pow (PI) 2)))))))) s) |
(/ (+ (* -4 (* s (+ (* -1/2 (* u (PI))) (* 1/4 (PI))))) (* -1/2 (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (* (pow u 2) (+ (* -1 (/ (+ (* -1/16 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))) u)) (* 1/4 (pow (PI) 2)))))))) s) |
(/ (+ (* -4 (* s (+ (* -1/2 (* u (PI))) (* 1/4 (PI))))) (* -1/2 (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (* (pow u 2) (+ (* -1 (/ (+ (* -1/16 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))) u)) (* 1/4 (pow (PI) 2)))))))) s) |
(* -4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) |
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(* 1/4 (PI)) |
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(/ 1 (+ 1 (exp (/ (PI) s)))) |
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1/2 |
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1/2 |
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(/ (PI) s) |
(+ (* -1/2 (/ (* u (* (PI) (pow (+ 1 (exp (/ (PI) s))) 2))) (* s (exp (/ (PI) s))))) (/ (PI) s)) |
(+ (* u (+ (* -1/2 (/ (* (PI) (pow (+ 1 (exp (/ (PI) s))) 2)) (* s (exp (/ (PI) s))))) (* 1/2 (* u (+ (* -1/4 (/ (* (pow (PI) 2) (pow (+ 1 (exp (/ (PI) s))) 4)) (* (pow s 2) (pow (exp (/ (PI) s)) 2)))) (* 1/2 (/ (* (pow (PI) 2) (pow (+ 1 (exp (/ (PI) s))) 3)) (* (pow s 2) (exp (/ (PI) s)))))))))) (/ (PI) s)) |
(+ (* u (+ (* -1/2 (/ (* (PI) (pow (+ 1 (exp (/ (PI) s))) 2)) (* s (exp (/ (PI) s))))) (* u (+ (* 1/6 (* u (+ (* -3/4 (/ (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 4)) (* (pow s 3) (exp (/ (PI) s))))) (+ (* -1/4 (/ (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 6)) (* (pow s 3) (pow (exp (/ (PI) s)) 3)))) (* 3/4 (/ (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 5)) (* (pow s 3) (pow (exp (/ (PI) s)) 2)))))))) (* 1/2 (+ (* -1/4 (/ (* (pow (PI) 2) (pow (+ 1 (exp (/ (PI) s))) 4)) (* (pow s 2) (pow (exp (/ (PI) s)) 2)))) (* 1/2 (/ (* (pow (PI) 2) (pow (+ 1 (exp (/ (PI) s))) 3)) (* (pow s 2) (exp (/ (PI) s))))))))))) (/ (PI) s)) |
(log -1) |
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(log -1) |
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(log -1) |
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(* -4 (/ (- (* 1/2 (* u (PI))) (* 1/4 (PI))) s)) |
(/ (+ (* -4 (- (* 1/2 (* u (PI))) (* 1/4 (PI)))) (* 1/2 (/ (+ (* -16 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s))) s) |
(/ (+ (* -4 (- (* 1/2 (* u (PI))) (* 1/4 (PI)))) (+ (* 1/6 (/ (+ (* -128 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))) (* -6 (+ (* -4 (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3))))) (+ (* -2 (* (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/2 (* u (PI))) (* 1/4 (PI)))))))))) (pow s 2))) (* 1/2 (/ (+ (* -16 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)))) s) |
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(* 4 (/ (- (* -1/2 (* u (PI))) (* -1/4 (PI))) s)) |
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(exp (/ (PI) s)) |
(+ (exp (/ (PI) s)) (* -1/2 (/ (* u (* (PI) (pow (+ 1 (exp (/ (PI) s))) 2))) s))) |
(+ (exp (/ (PI) s)) (* u (- (* 1/4 (/ (* u (* (pow (PI) 2) (pow (+ 1 (exp (/ (PI) s))) 3))) (pow s 2))) (* 1/2 (/ (* (PI) (pow (+ 1 (exp (/ (PI) s))) 2)) s))))) |
(+ (exp (/ (PI) s)) (* u (- (* u (- (* -1/8 (/ (* u (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 4))) (pow s 3))) (* -1/4 (/ (* (pow (PI) 2) (pow (+ 1 (exp (/ (PI) s))) 3)) (pow s 2))))) (* 1/2 (/ (* (PI) (pow (+ 1 (exp (/ (PI) s))) 2)) s))))) |
-1 |
(- (* 2 (/ s (* u (PI)))) 1) |
(- (+ (* -4 (/ (pow s 2) (* (pow u 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))) (* 2 (/ s (* u (PI))))) 1) |
(- (+ (* 2 (/ s (* u (PI)))) (* 8 (/ (pow s 3) (* (pow u 3) (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2)))))) (+ 1 (* 4 (/ (pow s 2) (* (pow u 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))))) |
-1 |
(- (* 2 (/ s (* u (PI)))) 1) |
(- (* -1 (/ (+ (* -2 (/ s (PI))) (* 4 (/ (pow s 2) (* u (* (pow (PI) 2) (+ 1 (exp (/ (PI) s)))))))) u)) 1) |
(- (* -1 (/ (+ (* -2 (/ s (PI))) (* -1 (/ (- (* 8 (/ (pow s 3) (* u (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2))))) (* 4 (/ (pow s 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))) u))) u)) 1) |
-1 |
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(- (* s (+ (* -4 (/ s (* (pow u 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))) (* 2 (/ 1 (* u (PI)))))) 1) |
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1 |
(+ 1 (* -4 (/ (- (* 1/2 (* u (PI))) (* 1/4 (PI))) s))) |
(- (+ 1 (* -1 (/ (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (pow s 2)))) (* 4 (/ (- (* 1/2 (* u (PI))) (* 1/4 (PI))) s))) |
(- (+ 1 (* -1 (/ (+ (* -4 (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3))))) (+ (* -2 (* (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))))) (pow s 3)))) (+ (* -8 (/ (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2) (pow s 2))) (+ (* -4 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2))) (* 4 (/ (- (* 1/2 (* u (PI))) (* 1/4 (PI))) s))))) |
1 |
(+ 1 (* 4 (/ (- (* -1/2 (* u (PI))) (* -1/4 (PI))) s))) |
(+ 1 (* -1 (/ (- (+ (* -8 (/ (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2) s)) (* -4 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) s))) (* 4 (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) s))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)) (+ (* -2 (/ (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI)))) s)) (* 8 (/ (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/2 (* u (PI))) (* -1/4 (PI)))) s)))) (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) s)) (* 4 (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) s))) |
(exp (/ (* (PI) (log (E))) s)) |
(exp (/ (* (PI) (log (E))) s)) |
(exp (/ (* (PI) (log (E))) s)) |
(exp (/ (* (PI) (log (E))) s)) |
1 |
(+ 1 (/ (* (PI) (log (E))) s)) |
(+ 1 (+ (* 1/2 (/ (* (pow (PI) 2) (pow (log (E)) 2)) (pow s 2))) (/ (* (PI) (log (E))) s))) |
(+ 1 (+ (* 1/6 (/ (* (pow (PI) 3) (pow (log (E)) 3)) (pow s 3))) (+ (* 1/2 (/ (* (pow (PI) 2) (pow (log (E)) 2)) (pow s 2))) (/ (* (PI) (log (E))) s)))) |
1 |
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(+ 1 (* -1 (/ (+ (* -1 (* (PI) (log (E)))) (* -1/2 (/ (* (pow (PI) 2) (pow (log (E)) 2)) s))) s))) |
(+ 1 (* -1 (/ (+ (* -1 (* (PI) (log (E)))) (* -1 (/ (+ (* 1/6 (/ (* (pow (PI) 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow (PI) 2) (pow (log (E)) 2)))) s))) s))) |
(exp (/ (PI) s)) |
(exp (/ (PI) s)) |
(exp (/ (PI) s)) |
(exp (/ (PI) s)) |
1 |
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(+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) |
1 |
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(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* 1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s))) |
(* 1/16 (pow (PI) 2)) |
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(+ (* 1/16 (pow (PI) 2)) (* u (+ (* -1/4 (pow (PI) 2)) (* 1/4 (* u (pow (PI) 2)))))) |
(+ (* 1/16 (pow (PI) 2)) (* u (+ (* -1/4 (pow (PI) 2)) (* 1/4 (* u (pow (PI) 2)))))) |
(* 1/4 (* (pow u 2) (pow (PI) 2))) |
(* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2)))) |
(* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (+ (* 1/16 (/ (pow (PI) 2) (pow u 2))) (* 1/4 (pow (PI) 2))))) |
(* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (+ (* 1/16 (/ (pow (PI) 2) (pow u 2))) (* 1/4 (pow (PI) 2))))) |
(* 1/4 (* (pow u 2) (pow (PI) 2))) |
(* (pow u 2) (+ (* -1/4 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1/16 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))) u)) (* 1/4 (pow (PI) 2)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1/16 (/ (pow (PI) 2) u)) (* 1/4 (pow (PI) 2))) u)) (* 1/4 (pow (PI) 2)))) |
(+ (* -1 (pow (PI) 2)) (pow (PI) 2)) |
(+ (* -1 (pow (PI) 2)) (+ (* u (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) (pow (PI) 2))) |
(+ (* -1 (pow (PI) 2)) (+ (* u (+ (* -4 (pow (PI) 2)) (+ (* 4 (pow (PI) 2)) (* u (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))))))) (pow (PI) 2))) |
(+ (* -1 (pow (PI) 2)) (+ (* u (+ (* -4 (pow (PI) 2)) (+ (* 4 (pow (PI) 2)) (* u (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))))))) (pow (PI) 2))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* -4 (pow (PI) 2)) (+ (* 4 (/ (pow (PI) 2) u)) (* 4 (pow (PI) 2)))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (pow (PI) 2) (pow u 2))) (+ (* 4 (/ (pow (PI) 2) u)) (+ (* 4 (pow (PI) 2)) (/ (pow (PI) 2) (pow u 2)))))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (pow (PI) 2) (pow u 2))) (+ (* 4 (/ (pow (PI) 2) u)) (+ (* 4 (pow (PI) 2)) (/ (pow (PI) 2) (pow u 2)))))))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) u)) (* 4 (pow (PI) 2))))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) u)) (* 4 (pow (PI) 2)))) u)) (* 4 (pow (PI) 2))))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) u)) (* 4 (pow (PI) 2)))) u)) (* 4 (pow (PI) 2))))) |
(/ (pow (PI) 2) u) |
(/ (pow (PI) 2) u) |
(/ (pow (PI) 2) u) |
(/ (pow (PI) 2) u) |
(/ (pow (PI) 2) u) |
(/ (pow (PI) 2) u) |
(/ (pow (PI) 2) u) |
(/ (pow (PI) 2) u) |
(/ (pow (PI) 2) u) |
(/ (pow (PI) 2) u) |
(/ (pow (PI) 2) u) |
(/ (pow (PI) 2) u) |
(/ (PI) s) |
(/ (PI) s) |
(/ (PI) s) |
(/ (PI) s) |
(/ (PI) s) |
(/ (PI) s) |
(/ (PI) s) |
(/ (PI) s) |
(/ (PI) s) |
(/ (PI) s) |
(/ (PI) s) |
(/ (PI) s) |
(* -1 (* s (log -1))) |
(* s (+ (* -1 (log -1)) (* 2 (/ s (* u (PI)))))) |
(* s (+ (* -1 (log -1)) (* s (+ (* -1/2 (* s (- (* 8 (/ 1 (* (pow u 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))) (* 4 (/ 1 (* (pow u 2) (pow (PI) 2))))))) (* 2 (/ 1 (* u (PI)))))))) |
(* s (+ (* -1 (log -1)) (* s (+ (* s (+ (* -1/2 (- (* 8 (/ 1 (* (pow u 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))) (* 4 (/ 1 (* (pow u 2) (pow (PI) 2)))))) (* -1/6 (* s (- (* 48 (/ 1 (* (pow u 3) (* (pow (PI) 3) (+ 1 (exp (/ (PI) s))))))) (+ (* 16 (/ 1 (* (pow u 3) (pow (PI) 3)))) (* 48 (/ 1 (* (pow u 3) (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2))))))))))) (* 2 (/ 1 (* u (PI)))))))) |
(* 4 (- (* 1/2 (* u (PI))) (* 1/4 (PI)))) |
(+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)) (* 4 (- (* 1/2 (* u (PI))) (* 1/4 (PI))))) |
(+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)) (+ (* -1/6 (/ (+ (* -128 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))) (* -6 (+ (* -4 (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3))))) (+ (* -2 (* (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/2 (* u (PI))) (* 1/4 (PI)))))))))) (pow s 2))) (* 4 (- (* 1/2 (* u (PI))) (* 1/4 (PI)))))) |
(+ (* -1/2 (/ (+ (* -16 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)) (+ (* -1/6 (/ (+ (* -128 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))) (* -6 (+ (* -4 (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3))))) (+ (* -2 (* (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/2 (* u (PI))) (* 1/4 (PI)))))))))) (pow s 2))) (+ (* -1/24 (/ (+ (* -1536 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 4)) (+ (* -384 (* (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2))) (+ (* -96 (* (+ (* -4 (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3))))) (+ (* -2 (* (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))) (+ (* -24 (+ (* -4 (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (* 1/96 (pow (PI) 4)))))) (+ (* -2 (* (+ (* -4 (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3))))) (+ (* -2 (* (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))) (+ (* 2 (* (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 8 (* (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (- (* 1/2 (* u (PI))) (* 1/4 (PI))))))))) (* -12 (pow (+ (* -8 (pow (- (* 1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) 2)))))) (pow s 3))) (* 4 (- (* 1/2 (* u (PI))) (* 1/4 (PI))))))) |
(* -4 (- (* -1/2 (* u (PI))) (* -1/4 (PI)))) |
(+ (* -4 (- (* -1/2 (* u (PI))) (* -1/4 (PI)))) (* -1/2 (/ (+ (* -16 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s))) |
(+ (* -4 (- (* -1/2 (* u (PI))) (* -1/4 (PI)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -128 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) (* -6 (+ (* -4 (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) (+ (* -2 (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/2 (* u (PI))) (* -1/4 (PI)))))))))) s)) (* 1/2 (+ (* -16 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) s))) |
(+ (* -4 (- (* -1/2 (* u (PI))) (* -1/4 (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -1536 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 4)) (+ (* -384 (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2))) (+ (* -96 (* (+ (* -4 (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) (+ (* -2 (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) (+ (* -24 (+ (* -4 (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/96 (pow (PI) 4)) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))))) (+ (* -2 (* (+ (* -4 (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) (+ (* -2 (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) (+ (* 2 (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 8 (* (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))))))) (* -12 (pow (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) 2)))))) s)) (* 1/6 (+ (* -128 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) (* -6 (+ (* -4 (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) (+ (* -2 (* (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* -1/2 (* u (PI))) (* -1/4 (PI))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* -1/2 (* u (PI))) (* -1/4 (PI)))))))))))) s)) (* 1/2 (+ (* -16 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* -1/2 (* u (PI))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) s))) |
(* -1 (PI)) |
(+ (* -1 (PI)) (* 1/2 (/ (* u (* (PI) (pow (+ 1 (exp (/ (PI) s))) 2))) (exp (/ (PI) s))))) |
(+ (* -1 (PI)) (* u (+ (* -1/2 (* s (* u (+ (* -1/4 (/ (* (pow (PI) 2) (pow (+ 1 (exp (/ (PI) s))) 4)) (* (pow s 2) (pow (exp (/ (PI) s)) 2)))) (* 1/2 (/ (* (pow (PI) 2) (pow (+ 1 (exp (/ (PI) s))) 3)) (* (pow s 2) (exp (/ (PI) s))))))))) (* 1/2 (/ (* (PI) (pow (+ 1 (exp (/ (PI) s))) 2)) (exp (/ (PI) s))))))) |
(+ (* -1 (PI)) (* u (+ (* 1/2 (/ (* (PI) (pow (+ 1 (exp (/ (PI) s))) 2)) (exp (/ (PI) s)))) (* u (+ (* -1/2 (* s (+ (* -1/4 (/ (* (pow (PI) 2) (pow (+ 1 (exp (/ (PI) s))) 4)) (* (pow s 2) (pow (exp (/ (PI) s)) 2)))) (* 1/2 (/ (* (pow (PI) 2) (pow (+ 1 (exp (/ (PI) s))) 3)) (* (pow s 2) (exp (/ (PI) s)))))))) (* -1/6 (* s (* u (+ (* -3/4 (/ (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 4)) (* (pow s 3) (exp (/ (PI) s))))) (+ (* -1/4 (/ (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 6)) (* (pow s 3) (pow (exp (/ (PI) s)) 3)))) (* 3/4 (/ (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 5)) (* (pow s 3) (pow (exp (/ (PI) s)) 2)))))))))))))) |
(* -1 (* s (log -1))) |
(+ (* -1 (* s (log -1))) (* 2 (/ (pow s 2) (* u (PI))))) |
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (+ (* -4 (/ (pow s 2) (pow (PI) 2))) (* 8 (/ (pow s 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s)))))))) (pow u 2))) (* 2 (/ (pow s 2) (* u (PI)))))) |
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (+ (* -4 (/ (pow s 2) (pow (PI) 2))) (* 8 (/ (pow s 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s)))))))) (pow u 2))) (+ (* -1/6 (/ (* s (+ (* -48 (/ (pow s 3) (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2)))) (+ (* -16 (/ (pow s 3) (pow (PI) 3))) (* 48 (/ (pow s 3) (* (pow (PI) 3) (+ 1 (exp (/ (PI) s))))))))) (pow u 3))) (* 2 (/ (pow s 2) (* u (PI))))))) |
(* -1 (* s (log -1))) |
(+ (* -1 (* s (log -1))) (* 2 (/ (pow s 2) (* u (PI))))) |
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -2 (/ (pow s 2) (PI))) (* 1/2 (/ (* s (+ (* -4 (/ (pow s 2) (pow (PI) 2))) (* 8 (/ (pow s 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s)))))))) u))) u))) |
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -2 (/ (pow s 2) (PI))) (* -1 (/ (+ (* -1/2 (* s (+ (* -4 (/ (pow s 2) (pow (PI) 2))) (* 8 (/ (pow s 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))))) (* 1/6 (/ (* s (+ (* -48 (/ (pow s 3) (* (pow (PI) 3) (+ 1 (exp (/ (PI) s)))))) (+ (* 16 (/ (pow s 3) (pow (PI) 3))) (* 48 (/ (pow s 3) (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2))))))) u))) u))) u))) |
| Outputs |
|---|
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
(/ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) s) |
(/.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) s) |
(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2))) s) |
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(/ (+ (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (+ (/ (* u (- (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (pow s 3)) (/ (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (pow s 2)))) s) |
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(log -1) |
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(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1)) |
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(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1)) |
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(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (* -1 (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (* (PI) (log (E))) s)))))) 1)) |
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(* -4 (/ (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (* (PI) (log (E))))) s)) |
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(* -1 (PI)) |
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(* -1 (* s (log -1))) |
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(fma.f32 s (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 s (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 s s) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 #s(literal 8 binary32) (*.f32 s s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u u)) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 u (PI.f32))))) |
(+ (* -1 (* s (log -1))) (+ (* -1/2 (/ (* s (+ (* -4 (/ (pow s 2) (pow (PI) 2))) (* 8 (/ (pow s 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s)))))))) (pow u 2))) (+ (* -1/6 (/ (* s (+ (* -48 (/ (pow s 3) (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2)))) (+ (* -16 (/ (pow s 3) (pow (PI) 3))) (* 48 (/ (pow s 3) (* (pow (PI) 3) (+ 1 (exp (/ (PI) s))))))))) (pow u 3))) (* 2 (/ (pow s 2) (* u (PI))))))) |
(fma.f32 s (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 s (fma.f32 #s(literal -48 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)))) (fma.f32 #s(literal -16 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (*.f32 #s(literal 48 binary32) (*.f32 s (*.f32 s s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 u (*.f32 u u))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 s (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 s s) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 #s(literal 8 binary32) (*.f32 s s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 u u)) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 u (PI.f32)))))) |
(* -1 (* s (log -1))) |
(-.f32 #s(literal 0 binary32) (*.f32 s (log.f32 #s(literal -1 binary32)))) |
(+ (* -1 (* s (log -1))) (* 2 (/ (pow s 2) (* u (PI))))) |
(fma.f32 s (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 u (PI.f32)))) |
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -2 (/ (pow s 2) (PI))) (* 1/2 (/ (* s (+ (* -4 (/ (pow s 2) (pow (PI) 2))) (* 8 (/ (pow s 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s)))))))) u))) u))) |
(neg.f32 (fma.f32 s (log.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 s (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 s s) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 #s(literal 8 binary32) (*.f32 s s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 (PI.f32) (PI.f32)))))) u) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) (PI.f32)))) u))) |
(+ (* -1 (* s (log -1))) (* -1 (/ (+ (* -2 (/ (pow s 2) (PI))) (* -1 (/ (+ (* -1/2 (* s (+ (* -4 (/ (pow s 2) (pow (PI) 2))) (* 8 (/ (pow s 2) (* (pow (PI) 2) (+ 1 (exp (/ (PI) s))))))))) (* 1/6 (/ (* s (+ (* -48 (/ (pow s 3) (* (pow (PI) 3) (+ 1 (exp (/ (PI) s)))))) (+ (* 16 (/ (pow s 3) (pow (PI) 3))) (* 48 (/ (pow s 3) (* (pow (PI) 3) (pow (+ 1 (exp (/ (PI) s))) 2))))))) u))) u))) u))) |
(neg.f32 (fma.f32 s (log.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 s s) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 s (/.f32 (fma.f32 (/.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal 2 binary32)))) #s(literal 48 binary32) (fma.f32 #s(literal 16 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (*.f32 #s(literal -48 binary32) (*.f32 s (*.f32 s s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) u)) (*.f32 (*.f32 #s(literal -1/2 binary32) s) (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 s s) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 #s(literal 8 binary32) (*.f32 s s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) (*.f32 (PI.f32) (PI.f32))))))) (neg.f32 u))) u))) |
Compiled 146 595 to 13 661 computations (90.7% saved)
53 alts after pruning (49 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 682 | 20 | 2 702 |
| Fresh | 18 | 29 | 47 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 704 | 53 | 2 757 |
| Status | Accuracy | Program |
|---|---|---|
| 10.3% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (fma.f32 u (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal 1/4 binary32) u #s(literal -1/4 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 10.2% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 10.2% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| ✓ | 10.2% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
| 10.2% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal -4 binary32))) | |
| 6.4% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) u)) #s(literal -4 binary32))) | |
| 10.1% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (neg.f32 (PI.f32))) | |
| 3.2% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 u (PI.f32)))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -4 binary32))) | |
| ▶ | 8.8% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
| 8.8% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -4 binary32))) | |
| 10.1% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 10.1% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -4 binary32))) | |
| 7.7% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 7.7% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -4 binary32))) | |
| 7.5% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 u u) (fma.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) u) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)))) (neg.f32 u)))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 7.0% | (fma.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -6 binary32) (fma.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (fma.f32 #s(literal -2 binary32) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 0 binary32))) #s(literal -4 binary32))) (fma.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) #s(literal 0 binary32))) (*.f32 #s(literal -128 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))))))) s) (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) #s(literal 0 binary32)) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))))))) (neg.f32 s))) | |
| 12.9% | (/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal 0 binary32)) s) | |
| 12.8% | (/.f32 (fma.f32 (PI.f32) (neg.f32 s) #s(literal 0 binary32)) s) | |
| 10.1% | (/.f32 (-.f32 (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 16 binary32)) #s(literal 0 binary32)) (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32)))) (-.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -4 binary32)) (/.f32 #s(literal 0 binary32) s))) | |
| 6.8% | (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 16 binary32) (*.f32 u u)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) u) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)))) (neg.f32 u))) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))))))) s) | |
| ▶ | 10.1% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 16 binary32)) #s(literal 0 binary32))))) |
| 12.9% | (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)) | |
| 64.5% | (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s s)) (+.f32 #s(literal 0 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 39.5% | (*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 s) (neg.f32 s)) (*.f32 #s(literal 0 binary32) (neg.f32 s))))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32)))) | |
| 42.1% | (*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (pow.f32 s #s(literal 3/2 binary32)) (neg.f32 (pow.f32 s #s(literal 3/2 binary32))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 s) (neg.f32 s)) (*.f32 #s(literal 0 binary32) (neg.f32 s))))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| ▶ | 97.0% | (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| 10.1% | (*.f32 (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 16 binary32)) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))))) | |
| 12.9% | (*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (-.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (neg.f32 (PI.f32)) u)) u))) | |
| 12.8% | (*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (neg.f32 (/.f32 (neg.f32 (PI.f32)) u)) u))) | |
| 12.9% | (*.f32 (*.f32 u u) (-.f32 (+.f32 (/.f32 #s(literal 0 binary32) u) (+.f32 (/.f32 #s(literal 0 binary32) s) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) u) (/.f32 #s(literal 0 binary32) (*.f32 u u))))) (/.f32 (PI.f32) (*.f32 u u)))) | |
| 12.9% | (*.f32 (neg.f32 s) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) s)) | |
| 98.3% | (*.f32 (neg.f32 s) (-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) #s(literal -1 binary32))) (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))) | |
| 97.4% | (*.f32 (neg.f32 s) (-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -3 binary32)) #s(literal -1 binary32))) (log.f32 (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))))) | |
| 12.8% | (*.f32 (neg.f32 s) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal -4 binary32) s))) | |
| 99.0% | (*.f32 (neg.f32 s) (neg.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -3 binary32)) #s(literal -1 binary32)))))) | |
| 99.0% | (*.f32 (neg.f32 s) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) #s(literal -1 binary32)))))) | |
| 25.2% | (*.f32 (neg.f32 s) (log.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) s) #s(literal 1 binary32)))) | |
| 4.0% | (*.f32 (neg.f32 s) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 s (*.f32 u (PI.f32))) #s(literal -1 binary32)))) | |
| 99.0% | (*.f32 (neg.f32 s) (log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))) | |
| ▶ | 99.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| 99.0% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 98.8% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| ✓ | 99.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| ✓ | 99.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32))))))) #s(literal 1 binary32)))) |
| 98.9% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) #s(literal 1 binary32)))) | |
| 9.8% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) (fma.f32 #s(literal -2 binary32) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32) (*.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 0 binary32))) #s(literal -4 binary32))) (*.f32 s (*.f32 s s)))) (fma.f32 #s(literal -8 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) (*.f32 s s)) (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) s) (/.f32 #s(literal 0 binary32) (*.f32 s s))))))) | |
| 15.5% | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal -8 binary32) #s(literal 0 binary32)) (neg.f32 (*.f32 s s))) (fma.f32 #s(literal -4 binary32) (/.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) s) #s(literal 1 binary32))))) | |
| 15.5% | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) #s(literal 0 binary32)) (neg.f32 (*.f32 s s))) (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) s) #s(literal 1 binary32))))) | |
| 98.9% | (*.f32 (neg.f32 s) (log.f32 (expm1.f32 (neg.f32 (log.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))))) | |
| 12.9% | (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) | |
| 12.8% | (neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) | |
| ✓ | 12.8% | (neg.f32 (PI.f32)) |
| ▶ | 10.1% | #s(literal 0 binary32) |
Compiled 4 692 to 2 142 computations (54.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 64 | (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))))) |
| ✓ | cost-diff | 96 | (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s))) |
| ✓ | cost-diff | 160 | (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) |
| ✓ | cost-diff | 640 | (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) |
| ✓ | cost-diff | 352 | (/.f32 #s(literal 0 binary32) s) |
| ✓ | cost-diff | 544 | (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) |
| ✓ | cost-diff | 640 | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 16 binary32)) #s(literal 0 binary32))))) |
| ✓ | cost-diff | 1088 | (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 16 binary32)) #s(literal 0 binary32)))) |
| ✓ | cost-diff | 64 | (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)) |
| ✓ | cost-diff | 192 | (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) |
| ✓ | cost-diff | 192 | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
| ✓ | cost-diff | 224 | (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
| ✓ | cost-diff | 0 | (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (neg.f32 s) |
| 10 984× | accelerator-lowering-fma.f32 |
| 10 984× | accelerator-lowering-fma.f64 |
| 4 088× | *-lowering-*.f32 |
| 4 088× | *-lowering-*.f64 |
| 1 858× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 976 |
| 1 | 189 | 960 |
| 2 | 463 | 909 |
| 3 | 1691 | 869 |
| 4 | 5594 | 869 |
| 0 | 8124 | 823 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (neg s) (log (- (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(neg s) |
s |
(log (- (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(- (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
(/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
1 |
(+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) |
(/ 1 (+ 1 (exp (neg (/ (PI) s))))) |
(+ 1 (exp (neg (/ (PI) s)))) |
(exp (neg (/ (PI) s))) |
(neg (/ (PI) s)) |
(/ (PI) s) |
(PI) |
(/ -1 (+ 1 (exp (/ (PI) s)))) |
-1 |
(+ 1 (exp (/ (PI) s))) |
(exp (/ (PI) s)) |
u |
(/ 1 (+ 1 (exp (/ (PI) s)))) |
0 |
(+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* (PI) (PI)) (+ (* -1/4 u) 1/16)) 16) 0)) s)) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4)) |
-1/2 |
(/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* (PI) (PI)) (+ (* -1/4 u) 1/16)) 16) 0)) s) |
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* (PI) (PI)) (+ (* -1/4 u) 1/16)) 16) 0)) |
(+ (* (PI) 1/4) (* u (* (PI) -1/2))) |
(PI) |
1/4 |
(* u (* (PI) -1/2)) |
u |
(* (PI) -1/2) |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16) |
-16 |
(+ (* (* (* (PI) (PI)) (+ (* -1/4 u) 1/16)) 16) 0) |
(* (* (PI) (PI)) (+ (* -1/4 u) 1/16)) |
(* (PI) (PI)) |
(+ (* -1/4 u) 1/16) |
-1/4 |
1/16 |
16 |
0 |
s |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4) |
-4 |
(/ 1 (/ (+ (/ 0 s) (* 4 (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) (- (/ 0 (+ (* s s) 0)) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16)) 0)))) |
1 |
(/ (+ (/ 0 s) (* 4 (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) (- (/ 0 (+ (* s s) 0)) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16)) 0))) |
(+ (/ 0 s) (* 4 (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) |
(/ 0 s) |
0 |
s |
(* 4 (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) |
4 |
(+ (* u (* (PI) -1/2)) (* (PI) 1/4)) |
u |
(* (PI) -1/2) |
(PI) |
-1/2 |
(* (PI) 1/4) |
1/4 |
(- (/ 0 (+ (* s s) 0)) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16)) 0)) |
(/ 0 (+ (* s s) 0)) |
(+ (* s s) 0) |
(+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16)) 0) |
(* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16) |
16 |
(* (/ -1 (/ 1 s)) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(/ -1 (/ 1 s)) |
-1 |
(/ 1 s) |
1 |
s |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) |
u |
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))))) |
(/ 1 (+ 1 (exp (/ (neg (PI)) s)))) |
(+ 1 (exp (/ (neg (PI)) s))) |
(exp (/ (neg (PI)) s)) |
(/ (neg (PI)) s) |
(neg (PI)) |
(PI) |
(/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))) |
(+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))) |
(- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)) |
(/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s) |
(+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) |
-1/2 |
(/ (* (PI) (PI)) s) |
(* (PI) (PI)) |
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(+ 1 (exp (/ (PI) s))) |
(exp (/ (PI) s)) |
(/ (PI) s) |
| Outputs |
|---|
(* (neg s) (log (- (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(fma.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) #s(literal 0 binary32)) |
(neg s) |
(neg.f32 s) |
s |
(log (- (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) |
(- (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) |
(/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) |
1 |
#s(literal 1 binary32) |
(+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) |
(+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) |
(+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) |
(/ 1 (+ 1 (exp (neg (/ (PI) s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) |
(+ 1 (exp (neg (/ (PI) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))) |
(exp (neg (/ (PI) s))) |
(exp.f32 (/.f32 (PI.f32) (neg.f32 s))) |
(neg (/ (PI) s)) |
(/.f32 (PI.f32) (neg.f32 s)) |
(/ (PI) s) |
(/.f32 (PI.f32) s) |
(PI) |
(PI.f32) |
(/ -1 (+ 1 (exp (/ (PI) s)))) |
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) |
-1 |
#s(literal -1 binary32) |
(+ 1 (exp (/ (PI) s))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) |
(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
u |
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) |
0 |
#s(literal 0 binary32) |
(+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* (PI) (PI)) (+ (* -1/4 u) 1/16)) 16) 0)) s)) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4)) |
(fma.f32 (PI.f32) (neg.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (fma.f32 #s(literal -8 binary32) (fma.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/4 binary32))) (fma.f32 (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32)) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) #s(literal 0 binary32)) s)) |
-1/2 |
#s(literal -1/2 binary32) |
(/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* (PI) (PI)) (+ (* -1/4 u) 1/16)) 16) 0)) s) |
(/.f32 (fma.f32 #s(literal 16 binary32) (fma.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/4 binary32))) (fma.f32 (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32)) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) #s(literal 0 binary32)) s) |
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* (PI) (PI)) (+ (* -1/4 u) 1/16)) 16) 0)) |
(fma.f32 #s(literal 16 binary32) (fma.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/4 binary32))) (fma.f32 (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32)) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) #s(literal 0 binary32)) |
(+ (* (PI) 1/4) (* u (* (PI) -1/2))) |
(*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) |
(PI) |
(PI.f32) |
1/4 |
#s(literal 1/4 binary32) |
(* u (* (PI) -1/2)) |
(fma.f32 u (fma.f32 (PI.f32) #s(literal -1/2 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) |
u |
(* (PI) -1/2) |
(fma.f32 (PI.f32) #s(literal -1/2 binary32) #s(literal 0 binary32)) |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16) |
(fma.f32 (PI.f32) (fma.f32 #s(literal -16 binary32) (*.f32 u #s(literal -1/2 binary32)) #s(literal -4 binary32)) #s(literal 0 binary32)) |
-16 |
#s(literal -16 binary32) |
(+ (* (* (* (PI) (PI)) (+ (* -1/4 u) 1/16)) 16) 0) |
(fma.f32 (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32)) (fma.f32 #s(literal 16 binary32) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)) |
(* (* (PI) (PI)) (+ (* -1/4 u) 1/16)) |
(fma.f32 (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32)) (fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) |
(* (PI) (PI)) |
(fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)) |
(+ (* -1/4 u) 1/16) |
(fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32)) |
-1/4 |
#s(literal -1/4 binary32) |
1/16 |
#s(literal 1/16 binary32) |
16 |
#s(literal 16 binary32) |
0 |
#s(literal 0 binary32) |
s |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4) |
(fma.f32 (neg.f32 (PI.f32)) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 0 binary32)) |
-4 |
#s(literal -4 binary32) |
(/ 1 (/ (+ (/ 0 s) (* 4 (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) (- (/ 0 (+ (* s s) 0)) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16)) 0)))) |
(fma.f32 (neg.f32 (PI.f32)) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 0 binary32)) |
1 |
#s(literal 1 binary32) |
(/ (+ (/ 0 s) (* 4 (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) (- (/ 0 (+ (* s s) 0)) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16)) 0))) |
(/.f32 #s(literal -1 binary32) (fma.f32 (PI.f32) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 0 binary32))) |
(+ (/ 0 s) (* 4 (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) |
(fma.f32 (PI.f32) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 0 binary32)) |
(/ 0 s) |
#s(literal 0 binary32) |
0 |
#s(literal 0 binary32) |
s |
(* 4 (+ (* u (* (PI) -1/2)) (* (PI) 1/4))) |
(fma.f32 (PI.f32) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 0 binary32)) |
4 |
#s(literal 4 binary32) |
(+ (* u (* (PI) -1/2)) (* (PI) 1/4)) |
(*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) |
u |
(* (PI) -1/2) |
(fma.f32 (PI.f32) #s(literal -1/2 binary32) #s(literal 0 binary32)) |
(PI) |
(PI.f32) |
-1/2 |
#s(literal -1/2 binary32) |
(* (PI) 1/4) |
(fma.f32 (PI.f32) #s(literal 1/4 binary32) #s(literal 0 binary32)) |
1/4 |
#s(literal 1/4 binary32) |
(- (/ 0 (+ (* s s) 0)) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16)) 0)) |
(fma.f32 (fma.f32 (PI.f32) (fma.f32 #s(literal -16 binary32) (*.f32 u #s(literal -1/2 binary32)) #s(literal -4 binary32)) #s(literal 0 binary32)) (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) #s(literal 0 binary32)) |
(/ 0 (+ (* s s) 0)) |
#s(literal 0 binary32) |
(+ (* s s) 0) |
(fma.f32 s s #s(literal 0 binary32)) |
(+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16)) 0) |
(fma.f32 (*.f32 (PI.f32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal 16 binary32) (*.f32 u #s(literal -1/2 binary32)) #s(literal 4 binary32))) #s(literal 0 binary32)) |
(* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16) |
(*.f32 (PI.f32) (fma.f32 #s(literal 16 binary32) (*.f32 u #s(literal -1/2 binary32)) #s(literal 4 binary32))) |
16 |
#s(literal 16 binary32) |
(* (/ -1 (/ 1 s)) (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(fma.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 u (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal -2 binary32)))))))) #s(literal 0 binary32)) |
(/ -1 (/ 1 s)) |
(neg.f32 s) |
-1 |
#s(literal -1 binary32) |
(/ 1 s) |
(/.f32 #s(literal 1 binary32) s) |
1 |
#s(literal 1 binary32) |
s |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 u (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal -2 binary32)))))))) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 u (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal -2 binary32))))))) |
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 u (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal -2 binary32)))))) |
(+ (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) (/ 1 (+ 1 (exp (/ (PI) s))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 u (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal -2 binary32))))) |
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) |
(+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 u (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal -2 binary32)))) |
u |
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal -2 binary32)))) |
(/ 1 (+ 1 (exp (/ (neg (PI)) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) |
(+ 1 (exp (/ (neg (PI)) s))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))) |
(exp (/ (neg (PI)) s)) |
(exp.f32 (/.f32 (PI.f32) (neg.f32 s))) |
(/ (neg (PI)) s) |
(/.f32 (PI.f32) (neg.f32 s)) |
(neg (PI)) |
(neg.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) (neg.f32 s)) #s(literal 2 binary32))) |
(+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))) |
(fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) (neg.f32 s)) #s(literal 2 binary32)) |
(- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)) |
(fma.f32 (PI.f32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) (neg.f32 s)) #s(literal 1 binary32)) |
(/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s) |
(/.f32 (fma.f32 (PI.f32) (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) #s(literal 0 binary32)) s) |
(+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) |
(fma.f32 (PI.f32) (fma.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) #s(literal 0 binary32)) |
-1/2 |
#s(literal -1/2 binary32) |
(/ (* (PI) (PI)) s) |
(fma.f32 (PI.f32) (/.f32 (PI.f32) s) #s(literal 0 binary32)) |
(* (PI) (PI)) |
(fma.f32 (PI.f32) (PI.f32) #s(literal 0 binary32)) |
(/ 1 (+ 1 (exp (/ (PI) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) |
(+ 1 (exp (/ (PI) s))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) |
(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
(/ (PI) s) |
(/.f32 (PI.f32) s) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.8% | (/.f32 (neg.f32 (PI.f32)) s) |
| ✓ | accuracy | 98.8% | (/.f32 (PI.f32) s) |
| ✓ | accuracy | 96.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))) |
| ✓ | accuracy | 96.9% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 98.8% | (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) |
| ✓ | accuracy | 98.4% | (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 16 binary32)) #s(literal 0 binary32)))) |
| ✓ | accuracy | 98.3% | (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 16 binary32)) #s(literal 0 binary32)) |
| ✓ | accuracy | 63.3% | (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) |
| ✓ | accuracy | 99.1% | (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) |
| ✓ | accuracy | 98.6% | (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) |
| ✓ | accuracy | 96.9% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 35.5% | (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) |
| ✓ | accuracy | 99.7% | (exp.f32 (neg.f32 (/.f32 (PI.f32) s))) |
| ✓ | accuracy | 99.7% | (exp.f32 (/.f32 (PI.f32) s)) |
| ✓ | accuracy | 99.2% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| ✓ | accuracy | 98.8% | (/.f32 (PI.f32) s) |
| 160.0ms | 256× | 0 | valid |
Compiled 1 026 to 84 computations (91.8% saved)
ival-div: 43.0ms (32.8% of total)ival-mult: 31.0ms (23.6% of total)ival-add: 27.0ms (20.6% of total)ival-log: 12.0ms (9.1% of total)ival-exp: 6.0ms (4.6% of total)ival-sub: 6.0ms (4.6% of total)ival-neg: 3.0ms (2.3% of total)ival-pi: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (neg s)> |
#<alt (log (- (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))> |
#<alt (- (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)> |
#<alt (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s))))))> |
#<alt (+ (* (PI) 1/4) (* u (* (PI) -1/2)))> |
#<alt (+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* (PI) (PI)) (+ (* -1/4 u) 1/16)) 16) 0)) s)) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4))> |
#<alt (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* (PI) (PI)) (+ (* -1/4 u) 1/16)) 16) 0))> |
#<alt (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4)> |
#<alt (/ (+ (/ 0 s) (* 4 (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) (- (/ 0 (+ (* s s) 0)) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16)) 0)))> |
#<alt (/ 1 (/ (+ (/ 0 s) (* 4 (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) (- (/ 0 (+ (* s s) 0)) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16)) 0))))> |
#<alt (/ 0 (+ (* s s) 0))> |
#<alt (/ 0 s)> |
#<alt (/ -1 (/ 1 s))> |
#<alt (* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))))))> |
#<alt (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))> |
#<alt (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))> |
#<alt (/ (PI) s)> |
#<alt (* (neg s) (log (- (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)))> |
#<alt (exp (/ (PI) s))> |
#<alt (exp (neg (/ (PI) s)))> |
#<alt (* (PI) (PI))> |
#<alt (* u (* (PI) -1/2))> |
#<alt (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16)) 0)> |
#<alt (+ (* u (* (PI) -1/2)) (* (PI) 1/4))> |
#<alt (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))))> |
#<alt (/ (neg (PI)) s)> |
| Outputs |
|---|
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (* -1 s)> |
#<alt (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))> |
#<alt (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))> |
#<alt (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))> |
#<alt (log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))> |
#<alt (* -4 (/ (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) s))> |
#<alt (/ (+ (* -4 (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI)))) (* 1/2 (/ (+ (* -16 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s))) s)> |
#<alt (/ (+ (* -4 (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI)))) (+ (* 1/6 (/ (+ (* -128 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))))) (* -6 (+ (* -2 (* (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))))) (+ (* 4 (- (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI)))))))))) (pow s 2))) (* 1/2 (/ (+ (* -16 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)))) s)> |
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#<alt (+ 1 (/ (PI) s))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))> |
#<alt (+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s))))> |
#<alt 1> |
#<alt (+ 1 (/ (PI) s))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1/2 (/ (pow (PI) 2) s))) s)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* 1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s)))> |
#<alt (exp (neg (/ (PI) s)))> |
#<alt (exp (neg (/ (PI) s)))> |
#<alt (exp (neg (/ (PI) s)))> |
#<alt (exp (neg (/ (PI) s)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (PI) s)))> |
#<alt (+ 1 (+ (* -1 (/ (PI) s)) (* 1/2 (/ (pow (PI) 2) (pow s 2)))))> |
#<alt (+ 1 (+ (* -1 (/ (PI) s)) (+ (* -1/6 (/ (pow (PI) 3) (pow s 3))) (* 1/2 (/ (pow (PI) 2) (pow s 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (PI) s)))> |
#<alt (+ 1 (* -1 (/ (+ (PI) (* -1/2 (/ (pow (PI) 2) s))) s)))> |
#<alt (+ 1 (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s)))> |
#<alt (* -1/2 (* u (PI)))> |
#<alt (* -1/2 (* u (PI)))> |
#<alt (* -1/2 (* u (PI)))> |
#<alt (* -1/2 (* u (PI)))> |
#<alt (* -1/2 (* u (PI)))> |
#<alt (* -1/2 (* u (PI)))> |
#<alt (* -1/2 (* u (PI)))> |
#<alt (* -1/2 (* u (PI)))> |
#<alt (* -1/2 (* u (PI)))> |
#<alt (* -1/2 (* u (PI)))> |
#<alt (* -1/2 (* u (PI)))> |
#<alt (* -1/2 (* u (PI)))> |
#<alt (pow (PI) 2)> |
#<alt (+ (* -4 (* u (pow (PI) 2))) (pow (PI) 2))> |
#<alt (+ (* u (+ (* -4 (pow (PI) 2)) (* 4 (* u (pow (PI) 2))))) (pow (PI) 2))> |
#<alt (+ (* u (+ (* -4 (pow (PI) 2)) (* 4 (* u (pow (PI) 2))))) (pow (PI) 2))> |
#<alt (* 4 (* (pow u 2) (pow (PI) 2)))> |
#<alt (* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (* 4 (pow (PI) 2))))> |
#<alt (* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* 4 (pow (PI) 2)) (/ (pow (PI) 2) (pow u 2)))))> |
#<alt (* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* 4 (pow (PI) 2)) (/ (pow (PI) 2) (pow u 2)))))> |
#<alt (* 4 (* (pow u 2) (pow (PI) 2)))> |
#<alt (* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (* 4 (pow (PI) 2))))> |
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (pow (PI) 2) u)) (* 4 (pow (PI) 2))) u)) (* 4 (pow (PI) 2))))> |
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (pow (PI) 2) u)) (* 4 (pow (PI) 2))) u)) (* 4 (pow (PI) 2))))> |
#<alt (* 1/4 (PI))> |
#<alt (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))> |
#<alt (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))> |
#<alt (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))> |
#<alt (* -1/2 (* u (PI)))> |
#<alt (* u (+ (* -1/2 (PI)) (* 1/4 (/ (PI) u))))> |
#<alt (* u (+ (* -1/2 (PI)) (* 1/4 (/ (PI) u))))> |
#<alt (* u (+ (* -1/2 (PI)) (* 1/4 (/ (PI) u))))> |
#<alt (* -1/2 (* u (PI)))> |
#<alt (* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI)))))> |
#<alt (* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI)))))> |
#<alt (* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI)))))> |
#<alt (* 2 (/ (pow s 2) (pow (PI) 2)))> |
#<alt (* (pow s 2) (+ (* -4 (/ s (pow (PI) 3))) (* 2 (/ 1 (pow (PI) 2)))))> |
#<alt (* (pow s 2) (+ (* s (- (* 16 (/ (pow s 2) (pow (PI) 5))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2)))))> |
#<alt (* (pow s 2) (+ (* s (- (* (pow s 2) (+ (* -32 (/ s (pow (PI) 6))) (* 16 (/ 1 (pow (PI) 5))))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/4 (/ (PI) s)))> |
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2)))) (* 1/4 (/ (PI) s)))> |
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* -1/16 (pow (PI) 3))) (pow s 3)))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* 1/8 (/ (pow (PI) 2) (pow s 2))) (* 1/4 (/ (PI) s)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/4 (/ (PI) s)))> |
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (PI) 2) s)) (* 1/8 (/ (pow (PI) 2) s))) (* -1/4 (PI))) s)))> |
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (pow (PI) 3) s)) (* 1/2 (/ (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) s))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) s)) (* -1/4 (PI))) s)))> |
#<alt (* -1 (/ (PI) s))> |
#<alt (* -1 (/ (PI) s))> |
#<alt (* -1 (/ (PI) s))> |
#<alt (* -1 (/ (PI) s))> |
#<alt (* -1 (/ (PI) s))> |
#<alt (* -1 (/ (PI) s))> |
#<alt (* -1 (/ (PI) s))> |
#<alt (* -1 (/ (PI) s))> |
#<alt (* -1 (/ (PI) s))> |
#<alt (* -1 (/ (PI) s))> |
#<alt (* -1 (/ (PI) s))> |
#<alt (* -1 (/ (PI) s))> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 52.0ms | s | @ | 0 | (/ (+ (/ 0 s) (* 4 (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) (- (/ 0 (+ (* s s) 0)) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16)) 0))) |
| 26.0ms | s | @ | 0 | (log (- (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
| 22.0ms | u | @ | 0 | (log (- (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
| 9.0ms | s | @ | 0 | (* (neg s) (log (- (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
| 2.0ms | u | @ | inf | (log (- (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
| 1× | batch-egg-rewrite |
| 4 608× | accelerator-lowering-fma.f32 |
| 4 608× | accelerator-lowering-fma.f64 |
| 4 372× | *-lowering-*.f32 |
| 4 372× | *-lowering-*.f64 |
| 2 360× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 453 |
| 1 | 548 | 361 |
| 2 | 5232 | 357 |
| 0 | 8914 | 326 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(neg s) |
(log (- (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(- (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
(/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(+ (* (PI) 1/4) (* u (* (PI) -1/2))) |
(+ (* -1/2 (/ (+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* (PI) (PI)) (+ (* -1/4 u) 1/16)) 16) 0)) s)) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4)) |
(+ (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) (* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -16)) (+ (* (* (* (PI) (PI)) (+ (* -1/4 u) 1/16)) 16) 0)) |
(* (+ (* (PI) 1/4) (* u (* (PI) -1/2))) -4) |
(/ (+ (/ 0 s) (* 4 (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) (- (/ 0 (+ (* s s) 0)) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16)) 0))) |
(/ 1 (/ (+ (/ 0 s) (* 4 (+ (* u (* (PI) -1/2)) (* (PI) 1/4)))) (- (/ 0 (+ (* s s) 0)) (+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16)) 0)))) |
(/ 0 (+ (* s s) 0)) |
(/ 0 s) |
(/ -1 (/ 1 s)) |
(* u (- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))))) |
(+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))) |
(- (/ 1 (+ 1 (exp (/ (neg (PI)) s)))) (/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s))))) |
(/ (PI) s) |
(* (neg s) (log (- (/ 1 (+ (* (+ (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ -1 (+ 1 (exp (/ (PI) s))))) u) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1))) |
(exp (/ (PI) s)) |
(exp (neg (/ (PI) s))) |
(* (PI) (PI)) |
(* u (* (PI) -1/2)) |
(+ (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) (* (+ (* u (* (PI) -1/2)) (* (PI) 1/4)) 16)) 0) |
(+ (* u (* (PI) -1/2)) (* (PI) 1/4)) |
(/ 1 (+ 1 (- 1 (/ (+ (* -1/2 (/ (* (PI) (PI)) s)) (neg (PI))) s)))) |
(/ (neg (PI)) s) |
| Outputs |
|---|
(neg.f32 s) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) s)) #s(literal -1 binary32))) |
(+.f32 #s(literal 0 binary32) (neg.f32 s)) |
(pow.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) s) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s)) |
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (fma.f32 s (neg.f32 s) #s(literal 0 binary32)) (+.f32 #s(literal 0 binary32) s)) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 s (fma.f32 s s #s(literal 0 binary32)))) (+.f32 #s(literal 0 binary32) (fma.f32 s s (*.f32 #s(literal 0 binary32) s)))) |
(*.f32 s #s(literal -1 binary32)) |
(*.f32 #s(literal 1 binary32) (neg.f32 s)) |
(*.f32 #s(literal -1 binary32) s) |
(neg.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -3 binary32)) #s(literal -1 binary32))))) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) #s(literal -1 binary32))))) |
(+.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -3 binary32)) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))))) |
(+.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -3 binary32)) #s(literal -1 binary32))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) #s(literal -1 binary32))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -3 binary32)) #s(literal -1 binary32))) (log.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -3 binary32)) #s(literal -1 binary32))) (log.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32)))))) |
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(+.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal -1/2 binary32) u))) |
(+.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/2 binary32) u)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) |
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| 1× | egg-herbie |
| 7 358× | accelerator-lowering-fma.f32 |
| 7 358× | accelerator-lowering-fma.f64 |
| 6 116× | +-lowering-+.f64 |
| 6 116× | +-lowering-+.f32 |
| 5 978× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1058 | 14267 |
| 1 | 3356 | 12116 |
| 0 | 8384 | 11314 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(* -4 (/ (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) s)) |
(/ (+ (* -4 (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI)))) (* 1/2 (/ (+ (* -16 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s))) s) |
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(* 4 (/ (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) s)) |
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(/ (PI) s) |
(+ (* -1 (/ (* u (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (exp (/ (PI) s)))) (/ (PI) s)) |
(+ (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (exp (/ (PI) s)))) (* 1/2 (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s))))))))) (/ (PI) s)) |
(+ (* u (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (exp (/ (PI) s)))) (* u (+ (* 1/6 (* u (+ (* -6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (exp (/ (PI) s)))) (+ (* -2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 6) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 3))) (* 6 (/ (* (pow (+ 1 (exp (/ (PI) s))) 5) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)) (pow (exp (/ (PI) s)) 2))))))) (* 1/2 (+ (* -1 (/ (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (pow (exp (/ (PI) s)) 2))) (* 2 (/ (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)) (exp (/ (PI) s)))))))))) (/ (PI) s)) |
(log -1) |
(- (log -1) (/ 1 (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
(- (+ (log -1) (* 1/2 (/ (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))) (pow u 2)))) (/ 1 (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
(- (+ (log -1) (+ (* 1/6 (/ (- (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))))) (pow u 3))) (* 1/2 (/ (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))) (pow u 2))))) (/ 1 (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
(log -1) |
(- (log -1) (/ 1 (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
(+ (log -1) (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))) u)) (/ 1 (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) u))) |
(+ (log -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (- (+ (* 2 (/ 1 (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))) (* 6 (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) (* 6 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3))))) u)) (* 1/2 (- (* 2 (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))))) u)) (/ 1 (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) u))) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
(- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1) |
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1 |
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1 |
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(exp (/ (PI) s)) |
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(+ (exp (/ (PI) s)) (* u (- (* u (- (* -1 (* u (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (* -1 (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))))) (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))))) |
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(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
2 |
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(- (+ 2 (* -1 (/ (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (pow s 2)))) (* 4 (/ (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) s))) |
(- (+ 2 (* -1 (/ (+ (* -2 (* (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))))) (+ (* 4 (- (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))))))) (pow s 3)))) (+ (* -8 (/ (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2) (pow s 2))) (+ (* -4 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2))) (* 4 (/ (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) s))))) |
2 |
(+ 2 (* 4 (/ (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) s))) |
(+ 2 (* -1 (/ (- (+ (* -8 (/ (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2) s)) (* -4 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) s))) (* 4 (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))))) s))) |
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* -8 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI)))) s)) (+ (* 4 (/ (- (* u (- (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))))) s)) (* 8 (/ (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI)))) s)))) (+ (* -8 (pow (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) s)) (* 4 (- (* u (- (* -1/4 (PI)) (* 1/4 (PI)))) (* -1/4 (PI))))) s))) |
(+ 1 (exp (/ (PI) s))) |
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(+ 1 (+ (exp (/ (PI) s)) (* u (- (* u (- (* -1 (* u (* (pow (+ 1 (exp (/ (PI) s))) 4) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (* -1 (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))))) (* (pow (+ 1 (exp (/ (PI) s))) 2) (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))))) |
(/ 1 (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) |
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(/ (- (+ (/ 1 (* (pow u 2) (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (/ 1 (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (/ 1 (* u (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2))))) u) |
(/ (- (+ (/ 1 (* (pow u 2) (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (/ 1 (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) (+ (/ 1 (* u (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (* (pow u 3) (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 4)))))) u) |
(/ 1 (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) |
(* -1 (/ (- (/ 1 (* u (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) (/ 1 (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) u)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* u (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) u)) (/ 1 (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) u)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* u (* (pow (+ 1 (exp (/ (PI) s))) 3) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 4)))) (/ 1 (* (pow (+ 1 (exp (/ (PI) s))) 2) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 3)))) u)) (/ 1 (* (+ 1 (exp (/ (PI) s))) (pow (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))) 2)))) u)) (/ 1 (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s))))))) u)) |
(* 1/4 (PI)) |
(+ (* -1/2 (* u (PI))) (* 1/4 (PI))) |
(+ (* -1/2 (* u (PI))) (* 1/4 (PI))) |
(+ (* -1/2 (* u (PI))) (* 1/4 (PI))) |
(* -1/2 (* u (PI))) |
(* u (+ (* -1/2 (PI)) (* 1/4 (/ (PI) u)))) |
(* u (+ (* -1/2 (PI)) (* 1/4 (/ (PI) u)))) |
(* u (+ (* -1/2 (PI)) (* 1/4 (/ (PI) u)))) |
(* -1/2 (* u (PI))) |
(* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI))))) |
(* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI))))) |
(* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI))))) |
(+ (* -1 (PI)) (* -1/2 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) s))) |
(+ (* -1 (PI)) (+ (* -1/2 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) s)) (* u (+ (* -1/2 (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s)))) (* 2 (PI)))))) |
(+ (* -1 (PI)) (+ (* -1/2 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) s)) (* u (+ (* -1/2 (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s)))) (+ (* 2 (PI)) (* 2 (/ (* u (pow (PI) 2)) s))))))) |
(+ (* -1 (PI)) (+ (* -1/2 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) s)) (* u (+ (* -1/2 (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s)))) (+ (* 2 (PI)) (* 2 (/ (* u (pow (PI) 2)) s))))))) |
(* 2 (/ (* (pow u 2) (pow (PI) 2)) s)) |
(* (pow u 2) (+ (* -1/2 (/ (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))) u)) (+ (* 2 (/ (PI) u)) (* 2 (/ (pow (PI) 2) s))))) |
(* (pow u 2) (+ (* -1 (/ (PI) (pow u 2))) (+ (* -1/2 (/ (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))) u)) (+ (* -1/2 (/ (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)) (pow u 2))) (+ (* 2 (/ (PI) u)) (* 2 (/ (pow (PI) 2) s))))))) |
(* (pow u 2) (+ (* -1 (/ (PI) (pow u 2))) (+ (* -1/2 (/ (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))) u)) (+ (* -1/2 (/ (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)) (pow u 2))) (+ (* 2 (/ (PI) u)) (* 2 (/ (pow (PI) 2) s))))))) |
(* 2 (/ (* (pow u 2) (pow (PI) 2)) s)) |
(* (pow u 2) (+ (* -1 (/ (+ (* -2 (PI)) (* -1/2 (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s))))) u)) (* 2 (/ (pow (PI) 2) s)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -2 (PI)) (+ (* -1 (/ (+ (* -1 (PI)) (* -1/2 (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)))) u)) (* -1/2 (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s)))))) u)) (* 2 (/ (pow (PI) 2) s)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -2 (PI)) (+ (* -1 (/ (+ (* -1 (PI)) (* -1/2 (+ (* -1 (/ (pow (PI) 2) s)) (/ (pow (PI) 2) s)))) u)) (* -1/2 (+ (* -4 (/ (pow (PI) 2) s)) (* 4 (/ (pow (PI) 2) s)))))) u)) (* 2 (/ (pow (PI) 2) s)))) |
(* -1/2 (/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (* (pow (PI) 2) (+ 1/16 (* -1/4 u))))) s)) |
(/ (+ (* -4 (* s (+ (* -1/2 (* u (PI))) (* 1/4 (PI))))) (* -1/2 (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (* (pow (PI) 2) (+ 1/16 (* -1/4 u))))))) s) |
(/ (+ (* -4 (* s (+ (* -1/2 (* u (PI))) (* 1/4 (PI))))) (* -1/2 (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (* (pow (PI) 2) (+ 1/16 (* -1/4 u))))))) s) |
(/ (+ (* -4 (* s (+ (* -1/2 (* u (PI))) (* 1/4 (PI))))) (* -1/2 (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (* (pow (PI) 2) (+ 1/16 (* -1/4 u))))))) s) |
(* -4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) |
(+ (* -4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) (* -1/2 (/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (* (pow (PI) 2) (+ 1/16 (* -1/4 u))))) s))) |
(+ (* -4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) (* -1/2 (/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (* (pow (PI) 2) (+ 1/16 (* -1/4 u))))) s))) |
(+ (* -4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) (* -1/2 (/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (* (pow (PI) 2) (+ 1/16 (* -1/4 u))))) s))) |
(* -4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) |
(+ (* -4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) (* -1/2 (/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (* (pow (PI) 2) (+ 1/16 (* -1/4 u))))) s))) |
(+ (* -4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) (* -1/2 (/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (* (pow (PI) 2) (+ 1/16 (* -1/4 u))))) s))) |
(+ (* -4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) (* -1/2 (/ (+ (* -16 (pow (+ (* -1/2 (* u (PI))) (* 1/4 (PI))) 2)) (* 16 (* (pow (PI) 2) (+ 1/16 (* -1/4 u))))) s))) |
(+ (* -1 (pow (PI) 2)) (pow (PI) 2)) |
(+ (* -1 (pow (PI) 2)) (+ (* u (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2)))) (pow (PI) 2))) |
(+ (* -1 (pow (PI) 2)) (+ (* u (+ (* -4 (* u (pow (PI) 2))) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))))) (pow (PI) 2))) |
(+ (* -1 (pow (PI) 2)) (+ (* u (+ (* -4 (* u (pow (PI) 2))) (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))))) (pow (PI) 2))) |
(* -4 (* (pow u 2) (pow (PI) 2))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* -4 (pow (PI) 2)) (* 4 (/ (pow (PI) 2) u))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (pow (PI) 2) (pow u 2))) (+ (* 4 (/ (pow (PI) 2) u)) (/ (pow (PI) 2) (pow u 2))))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (pow (PI) 2) (pow u 2))) (+ (* 4 (/ (pow (PI) 2) u)) (/ (pow (PI) 2) (pow u 2))))))) |
(* -4 (* (pow u 2) (pow (PI) 2))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (* -1 (/ (+ (* -4 (pow (PI) 2)) (* 4 (pow (PI) 2))) u)))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (* -1 (/ (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) u)) (* 4 (pow (PI) 2)))) u)))) |
(* (pow u 2) (+ (* -4 (pow (PI) 2)) (* -1 (/ (+ (* -4 (pow (PI) 2)) (+ (* -1 (/ (+ (* -1 (pow (PI) 2)) (pow (PI) 2)) u)) (* 4 (pow (PI) 2)))) u)))) |
(* -1 (PI)) |
(+ (* -1 (PI)) (* 2 (* u (PI)))) |
(+ (* -1 (PI)) (* 2 (* u (PI)))) |
(+ (* -1 (PI)) (* 2 (* u (PI)))) |
(* 2 (* u (PI))) |
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI)))) |
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI)))) |
(* u (+ (* -1 (/ (PI) u)) (* 2 (PI)))) |
(* 2 (* u (PI))) |
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u)))) |
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u)))) |
(* -1 (* u (+ (* -2 (PI)) (/ (PI) u)))) |
(/ -1/4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) |
(/ -1/4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) |
(/ -1/4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) |
(/ -1/4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) |
(/ -1/4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) |
(/ -1/4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) |
(/ -1/4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) |
(/ -1/4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) |
(/ -1/4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) |
(/ -1/4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) |
(/ -1/4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) |
(/ -1/4 (+ (* -1/2 (* u (PI))) (* 1/4 (PI)))) |
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2 |
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(/ (PI) s) |
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(exp (/ (PI) s)) |
(exp (/ (PI) s)) |
(exp (/ (PI) s)) |
(exp (/ (PI) s)) |
1 |
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(exp (neg (/ (PI) s))) |
(exp (neg (/ (PI) s))) |
(exp (neg (/ (PI) s))) |
(exp (neg (/ (PI) s))) |
1 |
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(+ 1 (+ (* -1 (/ (PI) s)) (+ (* -1/6 (/ (pow (PI) 3) (pow s 3))) (* 1/2 (/ (pow (PI) 2) (pow s 2)))))) |
1 |
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(* -1/2 (* u (PI))) |
(* -1/2 (* u (PI))) |
(* -1/2 (* u (PI))) |
(* -1/2 (* u (PI))) |
(* -1/2 (* u (PI))) |
(* -1/2 (* u (PI))) |
(pow (PI) 2) |
(+ (* -4 (* u (pow (PI) 2))) (pow (PI) 2)) |
(+ (* u (+ (* -4 (pow (PI) 2)) (* 4 (* u (pow (PI) 2))))) (pow (PI) 2)) |
(+ (* u (+ (* -4 (pow (PI) 2)) (* 4 (* u (pow (PI) 2))))) (pow (PI) 2)) |
(* 4 (* (pow u 2) (pow (PI) 2))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (* 4 (pow (PI) 2)))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* 4 (pow (PI) 2)) (/ (pow (PI) 2) (pow u 2))))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* 4 (pow (PI) 2)) (/ (pow (PI) 2) (pow u 2))))) |
(* 4 (* (pow u 2) (pow (PI) 2))) |
(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (* 4 (pow (PI) 2)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (pow (PI) 2) u)) (* 4 (pow (PI) 2))) u)) (* 4 (pow (PI) 2)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (pow (PI) 2) u)) (* 4 (pow (PI) 2))) u)) (* 4 (pow (PI) 2)))) |
(* 1/4 (PI)) |
(+ (* -1/2 (* u (PI))) (* 1/4 (PI))) |
(+ (* -1/2 (* u (PI))) (* 1/4 (PI))) |
(+ (* -1/2 (* u (PI))) (* 1/4 (PI))) |
(* -1/2 (* u (PI))) |
(* u (+ (* -1/2 (PI)) (* 1/4 (/ (PI) u)))) |
(* u (+ (* -1/2 (PI)) (* 1/4 (/ (PI) u)))) |
(* u (+ (* -1/2 (PI)) (* 1/4 (/ (PI) u)))) |
(* -1/2 (* u (PI))) |
(* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI))))) |
(* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI))))) |
(* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI))))) |
(* 2 (/ (pow s 2) (pow (PI) 2))) |
(* (pow s 2) (+ (* -4 (/ s (pow (PI) 3))) (* 2 (/ 1 (pow (PI) 2))))) |
(* (pow s 2) (+ (* s (- (* 16 (/ (pow s 2) (pow (PI) 5))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2))))) |
(* (pow s 2) (+ (* s (- (* (pow s 2) (+ (* -32 (/ s (pow (PI) 6))) (* 16 (/ 1 (pow (PI) 5))))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2))))) |
1/2 |
(+ 1/2 (* -1/4 (/ (PI) s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2)))) (* 1/4 (/ (PI) s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* -1/16 (pow (PI) 3))) (pow s 3)))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* 1/8 (/ (pow (PI) 2) (pow s 2))) (* 1/4 (/ (PI) s))))) |
1/2 |
(+ 1/2 (* -1/4 (/ (PI) s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (PI) 2) s)) (* 1/8 (/ (pow (PI) 2) s))) (* -1/4 (PI))) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (pow (PI) 3) s)) (* 1/2 (/ (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) s))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) s)) (* -1/4 (PI))) s))) |
(* -1 (/ (PI) s)) |
(* -1 (/ (PI) s)) |
(* -1 (/ (PI) s)) |
(* -1 (/ (PI) s)) |
(* -1 (/ (PI) s)) |
(* -1 (/ (PI) s)) |
(* -1 (/ (PI) s)) |
(* -1 (/ (PI) s)) |
(* -1 (/ (PI) s)) |
(* -1 (/ (PI) s)) |
(* -1 (/ (PI) s)) |
(* -1 (/ (PI) s)) |
| Outputs |
|---|
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) |
(log (- (/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) 1)) |
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))) |
(* -4 (/ (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) s)) |
(/.f32 (*.f32 #s(literal -4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) s) |
(/ (+ (* -4 (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI)))) (* 1/2 (/ (+ (* -16 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s))) s) |
(/.f32 (fma.f32 #s(literal -4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -16 binary32) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) (fma.f32 #s(literal -2 binary32) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal -8 binary32)) #s(literal 0 binary32)))) s)) s) |
(/ (+ (* -4 (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI)))) (+ (* 1/6 (/ (+ (* -128 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))))) (* -6 (+ (* -2 (* (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))))) (+ (* 4 (- (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI)))))))))) (pow s 2))) (* 1/2 (/ (+ (* -16 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s)))) s) |
(/.f32 (fma.f32 #s(literal -4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) (fma.f32 #s(literal -2 binary32) (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal -8 binary32)) #s(literal 0 binary32))) s) (/.f32 (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -128 binary32) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))))) (fma.f32 #s(literal -6 binary32) (fma.f32 #s(literal -2 binary32) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal -8 binary32) #s(literal 0 binary32))) (fma.f32 #s(literal 4 binary32) (fma.f32 u (-.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32) (*.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 0 binary32))) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 0 binary32)))) (neg.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32) (*.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 0 binary32))))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal 0 binary32)))) (*.f32 #s(literal -24 binary32) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal -8 binary32) #s(literal 0 binary32))))))) (*.f32 s s)))) s) |
(/ (+ (* -4 (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI)))) (+ (* 1/24 (/ (+ (* -1536 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 4)) (+ (* -384 (* (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2))) (+ (* -96 (* (+ (* -2 (* (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))))) (+ (* 4 (- (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))))))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))))) (+ (* -24 (+ (* -8 (* (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) (- (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3))))))) (+ (* -2 (* (+ (* -2 (* (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))))) (+ (* 4 (- (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))))))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))))) (+ (* 2 (* (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* 4 (- (* u (- (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (* 1/2 (* (PI) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))))) (+ (* -1/2 (* (PI) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (+ (* -1/4 (* (pow (PI) 2) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/48 (pow (PI) 4)) (* 1/96 (pow (PI) 4))))))))))) (* -12 (pow (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) 2)))))) (pow s 3))) (+ (* 1/6 (/ (+ (* -128 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 3)) (+ (* -24 (* (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))))) (* -6 (+ (* -2 (* (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))))) (+ (* 4 (- (* u (- (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))) (+ (* -1/24 (pow (PI) 3)) (+ (* 1/16 (pow (PI) 3)) (* 1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))))) (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (+ (* -1/16 (pow (PI) 3)) (* 1/24 (pow (PI) 3)))))) (* 8 (* (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI)))))))))) (pow s 2))) (* 1/2 (/ (+ (* -16 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -2 (+ (* -8 (pow (- (* u (- (* 1/4 (PI)) (* -1/4 (PI)))) (* 1/4 (PI))) 2)) (* -4 (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) s))))) s) |
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1 |
#s(literal 1 binary32) |
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(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
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-1 |
#s(literal -1 binary32) |
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-1 |
#s(literal -1 binary32) |
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(/ 1 (+ (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) (/ 1 (+ 1 (exp (/ (PI) s)))))) |
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2 |
#s(literal 2 binary32) |
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2 |
#s(literal 2 binary32) |
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2 |
#s(literal 2 binary32) |
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(* -1 (/ (- (* -1/4 (PI)) (* 1/4 (PI))) s)) |
(/.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) s) |
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(* -1 (PI)) |
(neg.f32 (PI.f32)) |
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(* -1 (* s (log -1))) |
(-.f32 #s(literal 0 binary32) (*.f32 s (log.f32 #s(literal -1 binary32)))) |
(+ (* -1 (* s (log -1))) (/ s (* u (- (/ 1 (+ 1 (exp (neg (/ (PI) s))))) (/ 1 (+ 1 (exp (/ (PI) s)))))))) |
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(* -1 (* s (log -1))) |
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(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
(exp (/ (PI) s)) |
(exp.f32 (/.f32 (PI.f32) s)) |
1 |
#s(literal 1 binary32) |
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(+ 1 (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s))) |
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(+ 1 (+ (* 1/6 (/ (pow (PI) 3) (pow s 3))) (+ (* 1/2 (/ (pow (PI) 2) (pow s 2))) (/ (PI) s)))) |
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1 |
#s(literal 1 binary32) |
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(+ 1 (* -1 (/ (+ (* -1 (PI)) (* -1/2 (/ (pow (PI) 2) s))) s))) |
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(exp (neg (/ (PI) s))) |
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) |
(exp (neg (/ (PI) s))) |
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) |
(exp (neg (/ (PI) s))) |
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) |
(exp (neg (/ (PI) s))) |
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))) |
1 |
#s(literal 1 binary32) |
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1 |
#s(literal 1 binary32) |
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(+ 1 (* -1 (/ (+ (PI) (* -1 (/ (+ (* -1/6 (/ (pow (PI) 3) s)) (* 1/2 (pow (PI) 2))) s))) s))) |
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(* -1/2 (* u (PI))) |
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(pow (PI) 2) |
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(* 4 (* (pow u 2) (pow (PI) 2))) |
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(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (* 4 (pow (PI) 2)))) |
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(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (+ (* 4 (pow (PI) 2)) (/ (pow (PI) 2) (pow u 2))))) |
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(* 4 (* (pow u 2) (pow (PI) 2))) |
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(* (pow u 2) (+ (* -4 (/ (pow (PI) 2) u)) (* 4 (pow (PI) 2)))) |
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(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (pow (PI) 2) u)) (* 4 (pow (PI) 2))) u)) (* 4 (pow (PI) 2)))) |
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(* 1/4 (PI)) |
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(+ (* -1/2 (* u (PI))) (* 1/4 (PI))) |
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(* -1/2 (* u (PI))) |
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(* u (+ (* -1/2 (PI)) (* 1/4 (/ (PI) u)))) |
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(* -1/2 (* u (PI))) |
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(* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI))))) |
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(* -1 (* u (+ (* -1/4 (/ (PI) u)) (* 1/2 (PI))))) |
(*.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (PI.f32) u) (*.f32 (PI.f32) #s(literal 1/2 binary32))) (neg.f32 u)) |
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(*.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (PI.f32) u) (*.f32 (PI.f32) #s(literal 1/2 binary32))) (neg.f32 u)) |
(* 2 (/ (pow s 2) (pow (PI) 2))) |
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 s s)) (*.f32 (PI.f32) (PI.f32))) |
(* (pow s 2) (+ (* -4 (/ s (pow (PI) 3))) (* 2 (/ 1 (pow (PI) 2))))) |
(*.f32 (*.f32 s s) (fma.f32 #s(literal -4 binary32) (/.f32 s (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(* (pow s 2) (+ (* s (- (* 16 (/ (pow s 2) (pow (PI) 5))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2))))) |
(*.f32 (*.f32 s s) (fma.f32 s (fma.f32 #s(literal 16 binary32) (/.f32 (*.f32 s s) (pow.f32 (PI.f32) #s(literal 5 binary32))) (/.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(* (pow s 2) (+ (* s (- (* (pow s 2) (+ (* -32 (/ s (pow (PI) 6))) (* 16 (/ 1 (pow (PI) 5))))) (* 4 (/ 1 (pow (PI) 3))))) (* 2 (/ 1 (pow (PI) 2))))) |
(*.f32 (*.f32 s s) (fma.f32 s (fma.f32 (*.f32 s s) (fma.f32 #s(literal -32 binary32) (/.f32 s (pow.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 16 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (/.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (PI.f32))))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* -1/4 (/ (PI) s))) |
(fma.f32 (/.f32 (PI.f32) s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (pow s 2)))) (* 1/4 (/ (PI) s))) |
(+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 0 binary32) (*.f32 s s))) (/.f32 (*.f32 (PI.f32) #s(literal -1/4 binary32)) s)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) (* -1/16 (pow (PI) 3))) (pow s 3)))) (+ (* -1/8 (/ (pow (PI) 2) (pow s 2))) (+ (* 1/8 (/ (pow (PI) 2) (pow s 2))) (* 1/4 (/ (PI) s))))) |
(-.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 0 binary32)) (*.f32 #s(literal -1/16 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 s (*.f32 s s)))) (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s s)) #s(literal 0 binary32) (/.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) s))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* -1/4 (/ (PI) s))) |
(fma.f32 (/.f32 (PI.f32) s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (PI) 2) s)) (* 1/8 (/ (pow (PI) 2) s))) (* -1/4 (PI))) s))) |
(fma.f32 (/.f32 (PI.f32) s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (pow (PI) 3) s)) (* 1/2 (/ (* (PI) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) s))) (+ (* -1/8 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))) s)) (* -1/4 (PI))) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (PI.f32) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (neg.f32 s)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) s)) |
(* -1 (/ (PI) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) |
(* -1 (/ (PI) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) |
(* -1 (/ (PI) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) |
(* -1 (/ (PI) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) |
(* -1 (/ (PI) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) |
(* -1 (/ (PI) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) |
(* -1 (/ (PI) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) |
(* -1 (/ (PI) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) |
(* -1 (/ (PI) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) |
(* -1 (/ (PI) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) |
(* -1 (/ (PI) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) |
(* -1 (/ (PI) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)) |
Compiled 85 413 to 7 605 computations (91.1% saved)
63 alts after pruning (60 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 623 | 37 | 1 660 |
| Fresh | 21 | 23 | 44 |
| Picked | 3 | 2 | 5 |
| Done | 3 | 1 | 4 |
| Total | 1 650 | 63 | 1 713 |
| Status | Accuracy | Program |
|---|---|---|
| 6.4% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) u)) #s(literal -4 binary32))) | |
| 3.2% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 u (PI.f32)))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -4 binary32))) | |
| 7.6% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 6 binary32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 8.8% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))) | |
| 5.5% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))) | |
| 8.8% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (neg.f32 (PI.f32))) | |
| 7.7% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 7.7% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -4 binary32))) | |
| 7.6% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 9.7% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) #s(literal 0 binary32)) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32)) #s(literal 16 binary32))) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 9.6% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) (*.f32 (*.f32 #s(literal 16 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32)))) s) (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))))) | |
| 8.5% | (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -4 binary32) (*.f32 u u)) (*.f32 (PI.f32) (PI.f32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) | |
| 7.0% | (fma.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -6 binary32) (fma.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (fma.f32 #s(literal -2 binary32) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 0 binary32))) #s(literal -4 binary32))) (fma.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) #s(literal 0 binary32))) (*.f32 #s(literal -128 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))))))) s) (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) #s(literal 0 binary32)) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))))))) (neg.f32 s))) | |
| 12.9% | (/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal 0 binary32)) s) | |
| 12.8% | (/.f32 (fma.f32 (PI.f32) (neg.f32 s) #s(literal 0 binary32)) s) | |
| 6.8% | (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 16 binary32) (*.f32 u u)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) u) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)))) (neg.f32 u))) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))))))) s) | |
| 6.1% | (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) (*.f32 (*.f32 #s(literal 16 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32))))) s) | |
| 98.9% | (/.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) (/.f32 #s(literal -1 binary32) s)) | |
| 12.8% | (/.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 #s(literal -4 binary32) (/.f32 u (PI.f32)) (/.f32 #s(literal -2 binary32) (PI.f32))) (/.f32 #s(literal -1 binary32) (PI.f32)))) | |
| 10.1% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (fma.f32 u (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal 4 binary32) u #s(literal -4 binary32))) (*.f32 (PI.f32) (PI.f32)))))) | |
| 9.9% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))))) | |
| 9.9% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 u u)) (*.f32 (PI.f32) (PI.f32)))))) | |
| 10.1% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 16 binary32)) #s(literal 0 binary32))))) | |
| 2.2% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 u (PI.f32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 16 binary32)) #s(literal 0 binary32))))) | |
| 12.9% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)))) | |
| 12.9% | (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) #s(literal 0 binary32)))))) | |
| 8.5% | (-.f32 (fma.f32 u (fma.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (PI.f32)) #s(literal 0 binary32)) (/.f32 #s(literal 0 binary32) s)) (PI.f32)) | |
| 12.9% | (-.f32 #s(literal 0 binary32) (*.f32 u (fma.f32 (PI.f32) #s(literal -2 binary32) (/.f32 (PI.f32) u)))) | |
| 62.6% | (*.f32 (/.f32 (fma.f32 s (neg.f32 s) #s(literal 0 binary32)) (+.f32 #s(literal 0 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 39.5% | (*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 s) (neg.f32 s)) (*.f32 #s(literal 0 binary32) (neg.f32 s))))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32)))) | |
| 42.1% | (*.f32 (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (pow.f32 s #s(literal 3/2 binary32)) (neg.f32 (pow.f32 s #s(literal 3/2 binary32))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (neg.f32 s) (neg.f32 s)) (*.f32 #s(literal 0 binary32) (neg.f32 s))))) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 98.6% | (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 91.2% | (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) #s(literal 1 binary32)))) | |
| 84.1% | (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 8.5% | (*.f32 (*.f32 u u) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (/.f32 (fma.f32 (PI.f32) #s(literal -2 binary32) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) u)))) (neg.f32 u)))) | |
| 12.9% | (*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (-.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (neg.f32 (PI.f32)) u)) u))) | |
| 12.8% | (*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (neg.f32 (/.f32 (neg.f32 (PI.f32)) u)) u))) | |
| 8.5% | (*.f32 (*.f32 u u) (-.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (+.f32 (/.f32 (PI.f32) u) (/.f32 (*.f32 (PI.f32) (PI.f32)) s)) (/.f32 #s(literal 0 binary32) u)) (/.f32 #s(literal 0 binary32) (*.f32 u u))) (/.f32 (PI.f32) (*.f32 u u)))) | |
| 12.9% | (*.f32 (*.f32 u u) (-.f32 (+.f32 (/.f32 #s(literal 0 binary32) u) (+.f32 (/.f32 #s(literal 0 binary32) s) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) u) (/.f32 #s(literal 0 binary32) (*.f32 u u))))) (/.f32 (PI.f32) (*.f32 u u)))) | |
| 98.3% | (*.f32 (neg.f32 s) (-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) #s(literal -1 binary32))) (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))) | |
| 97.4% | (*.f32 (neg.f32 s) (-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -3 binary32)) #s(literal -1 binary32))) (log.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))))) | |
| 12.8% | (*.f32 (neg.f32 s) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal -4 binary32) s))) | |
| 99.0% | (*.f32 (neg.f32 s) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) #s(literal -1 binary32)))))) | |
| 25.2% | (*.f32 (neg.f32 s) (log.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) s) #s(literal 1 binary32)))) | |
| 4.0% | (*.f32 (neg.f32 s) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 s (*.f32 u (PI.f32))) #s(literal -1 binary32)))) | |
| 99.0% | (*.f32 (neg.f32 s) (log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal -1 binary32))))) | |
| 99.0% | (*.f32 (neg.f32 s) (log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))))) | |
| 99.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| ✓ | 99.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| 99.1% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32))))))) #s(literal 1 binary32)))) | |
| 99.0% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) u) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) u))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 98.8% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) | |
| 98.9% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) #s(literal 1 binary32)))) | |
| 9.8% | (*.f32 (neg.f32 s) (log.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) (fma.f32 #s(literal -2 binary32) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32) (*.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 0 binary32))) #s(literal -4 binary32))) (*.f32 s (*.f32 s s)))) (fma.f32 #s(literal -8 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) (*.f32 s s)) (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) s) (/.f32 #s(literal 0 binary32) (*.f32 s s))))))) | |
| 15.5% | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal -8 binary32) #s(literal 0 binary32)) (neg.f32 (*.f32 s s))) (fma.f32 #s(literal -4 binary32) (/.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) s) #s(literal 1 binary32))))) | |
| 15.5% | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) #s(literal 0 binary32)) (neg.f32 (*.f32 s s))) (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) s) #s(literal 1 binary32))))) | |
| 98.9% | (*.f32 (neg.f32 s) (log.f32 (expm1.f32 (neg.f32 (log.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))))) | |
| 12.9% | (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) | |
| 4.8% | (*.f32 #s(literal 2 binary32) (*.f32 u (PI.f32))) | |
| 12.9% | (neg.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32))) | |
| 12.8% | (neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) | |
| ✓ | 12.8% | (neg.f32 (PI.f32)) |
| ✓ | 10.1% | #s(literal 0 binary32) |
Compiled 8 058 to 2 006 computations (75.1% saved)
| Inputs |
|---|
#s(literal 0 binary32) |
(neg.f32 (PI.f32)) |
(*.f32 #s(literal 2 binary32) (*.f32 u (PI.f32))) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) |
(/.f32 #s(literal 0 binary32) s) |
(neg.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32))) |
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(*.f32 (neg.f32 s) (-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -3 binary32)) #s(literal -1 binary32))) (log.f32 (+.f32 (pow.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))))) |
(*.f32 (neg.f32 s) (-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -3 binary32)) #s(literal -1 binary32))) (log.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) (neg.f32 s)))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 2 binary32)) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (*.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))) #s(literal -2 binary32)))) (*.f32 (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (fma.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))))) #s(literal 1 binary32)))) |
| Outputs |
|---|
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32))))))) #s(literal 1 binary32)))) |
3 calls:
| 56.0ms | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| 37.0ms | s |
| 37.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | u |
| 99.1% | 1 | s |
| 99.1% | 1 | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
Compiled 45 to 25 computations (44.4% saved)
| Inputs |
|---|
#s(literal 0 binary32) |
(neg.f32 (PI.f32)) |
(*.f32 #s(literal 2 binary32) (*.f32 u (PI.f32))) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) |
(/.f32 #s(literal 0 binary32) s) |
(neg.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32))) |
(*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) |
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) |
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s)) |
(/.f32 (fma.f32 (PI.f32) (neg.f32 s) #s(literal 0 binary32)) s) |
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)) |
(-.f32 #s(literal 0 binary32) (*.f32 u (fma.f32 (PI.f32) #s(literal -2 binary32) (/.f32 (PI.f32) u)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)))) |
(/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal 0 binary32)) s) |
(*.f32 (neg.f32 s) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) s)) |
(*.f32 (neg.f32 s) (*.f32 (/.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) s) #s(literal 4 binary32))) |
(*.f32 (neg.f32 s) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal -4 binary32) s))) |
(-.f32 (fma.f32 u (fma.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (PI.f32)) #s(literal 0 binary32)) (/.f32 #s(literal 0 binary32) s)) (PI.f32)) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (neg.f32 (/.f32 (neg.f32 (PI.f32)) u)) u))) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (-.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (neg.f32 (PI.f32)) u)) u))) |
(/.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 #s(literal -4 binary32) (/.f32 u (PI.f32)) (/.f32 #s(literal -2 binary32) (PI.f32))) (/.f32 #s(literal -1 binary32) (PI.f32)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -4 binary32) (*.f32 u u)) (*.f32 (PI.f32) (PI.f32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(*.f32 (*.f32 u u) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (/.f32 (fma.f32 (PI.f32) #s(literal -2 binary32) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) u)))) (neg.f32 u)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) #s(literal 0 binary32)))))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) (*.f32 (*.f32 #s(literal 16 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32))))) s) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (neg.f32 (PI.f32))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) (*.f32 (*.f32 #s(literal 16 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32)))) s) (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))))) |
(*.f32 (*.f32 u u) (-.f32 (+.f32 (/.f32 #s(literal 0 binary32) u) (+.f32 (/.f32 #s(literal 0 binary32) s) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) u) (/.f32 #s(literal 0 binary32) (*.f32 u u))))) (/.f32 (PI.f32) (*.f32 u u)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -4 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) #s(literal 0 binary32)) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32)) #s(literal 16 binary32))) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(*.f32 (*.f32 u u) (-.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (+.f32 (/.f32 (PI.f32) u) (/.f32 (*.f32 (PI.f32) (PI.f32)) s)) (/.f32 #s(literal 0 binary32) u)) (/.f32 #s(literal 0 binary32) (*.f32 u u))) (/.f32 (PI.f32) (*.f32 u u)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 u u)) (*.f32 (PI.f32) (PI.f32)))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -4 binary32))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (fma.f32 u (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal 4 binary32) u #s(literal -4 binary32))) (*.f32 (PI.f32) (PI.f32)))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (neg.f32 (PI.f32))) |
(neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) |
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(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (fma.f32 s (neg.f32 s) #s(literal 0 binary32)) (+.f32 #s(literal 0 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (PI.f32)) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| Outputs |
|---|
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
3 calls:
| 29.0ms | s |
| 26.0ms | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| 26.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | u |
| 99.1% | 1 | s |
| 99.1% | 1 | (*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
Compiled 45 to 25 computations (44.4% saved)
| Inputs |
|---|
#s(literal 0 binary32) |
(neg.f32 (PI.f32)) |
(*.f32 #s(literal 2 binary32) (*.f32 u (PI.f32))) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) |
(/.f32 #s(literal 0 binary32) s) |
(neg.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32))) |
(*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) |
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) |
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s)) |
(/.f32 (fma.f32 (PI.f32) (neg.f32 s) #s(literal 0 binary32)) s) |
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)) |
(-.f32 #s(literal 0 binary32) (*.f32 u (fma.f32 (PI.f32) #s(literal -2 binary32) (/.f32 (PI.f32) u)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)))) |
(/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal 0 binary32)) s) |
(*.f32 (neg.f32 s) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) s)) |
(*.f32 (neg.f32 s) (*.f32 (/.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) s) #s(literal 4 binary32))) |
(*.f32 (neg.f32 s) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal -4 binary32) s))) |
(-.f32 (fma.f32 u (fma.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (PI.f32)) #s(literal 0 binary32)) (/.f32 #s(literal 0 binary32) s)) (PI.f32)) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (neg.f32 (/.f32 (neg.f32 (PI.f32)) u)) u))) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (-.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (neg.f32 (PI.f32)) u)) u))) |
(/.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 #s(literal -4 binary32) (/.f32 u (PI.f32)) (/.f32 #s(literal -2 binary32) (PI.f32))) (/.f32 #s(literal -1 binary32) (PI.f32)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -4 binary32) (*.f32 u u)) (*.f32 (PI.f32) (PI.f32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(*.f32 (*.f32 u u) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (/.f32 (fma.f32 (PI.f32) #s(literal -2 binary32) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) u)))) (neg.f32 u)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) #s(literal 0 binary32)))))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) (*.f32 (*.f32 #s(literal 16 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32))))) s) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (neg.f32 (PI.f32))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) (*.f32 (*.f32 #s(literal 16 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32)))) s) (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))))) |
(*.f32 (*.f32 u u) (-.f32 (+.f32 (/.f32 #s(literal 0 binary32) u) (+.f32 (/.f32 #s(literal 0 binary32) s) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) u) (/.f32 #s(literal 0 binary32) (*.f32 u u))))) (/.f32 (PI.f32) (*.f32 u u)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -4 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) #s(literal 0 binary32)) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32)) #s(literal 16 binary32))) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(*.f32 (*.f32 u u) (-.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (+.f32 (/.f32 (PI.f32) u) (/.f32 (*.f32 (PI.f32) (PI.f32)) s)) (/.f32 #s(literal 0 binary32) u)) (/.f32 #s(literal 0 binary32) (*.f32 u u))) (/.f32 (PI.f32) (*.f32 u u)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 u u)) (*.f32 (PI.f32) (PI.f32)))))) |
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(fma.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -6 binary32) (fma.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (fma.f32 #s(literal -2 binary32) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 0 binary32))) #s(literal -4 binary32))) (fma.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) #s(literal 0 binary32))) (*.f32 #s(literal -128 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))))))) s) (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) #s(literal 0 binary32)) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))))))) (neg.f32 s))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (exp.f32 (log.f32 (PI.f32))) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (fma.f32 s (neg.f32 s) #s(literal 0 binary32)) (+.f32 #s(literal 0 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (PI.f32)) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) s) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) s)) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| Outputs |
|---|
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
2 calls:
| 51.0ms | u |
| 27.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | u |
| 98.8% | 1 | s |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary32) |
(neg.f32 (PI.f32)) |
(*.f32 #s(literal 2 binary32) (*.f32 u (PI.f32))) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) |
(/.f32 #s(literal 0 binary32) s) |
(neg.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32))) |
(*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) |
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) |
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s)) |
(/.f32 (fma.f32 (PI.f32) (neg.f32 s) #s(literal 0 binary32)) s) |
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)) |
(-.f32 #s(literal 0 binary32) (*.f32 u (fma.f32 (PI.f32) #s(literal -2 binary32) (/.f32 (PI.f32) u)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)))) |
(/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal 0 binary32)) s) |
(*.f32 (neg.f32 s) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) s)) |
(*.f32 (neg.f32 s) (*.f32 (/.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) s) #s(literal 4 binary32))) |
(*.f32 (neg.f32 s) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal -4 binary32) s))) |
(-.f32 (fma.f32 u (fma.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (PI.f32)) #s(literal 0 binary32)) (/.f32 #s(literal 0 binary32) s)) (PI.f32)) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (neg.f32 (/.f32 (neg.f32 (PI.f32)) u)) u))) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (-.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (neg.f32 (PI.f32)) u)) u))) |
(/.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 #s(literal -4 binary32) (/.f32 u (PI.f32)) (/.f32 #s(literal -2 binary32) (PI.f32))) (/.f32 #s(literal -1 binary32) (PI.f32)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -4 binary32) (*.f32 u u)) (*.f32 (PI.f32) (PI.f32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(*.f32 (*.f32 u u) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (/.f32 (fma.f32 (PI.f32) #s(literal -2 binary32) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) u)))) (neg.f32 u)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) #s(literal 0 binary32)))))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) (*.f32 (*.f32 #s(literal 16 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32))))) s) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (neg.f32 (PI.f32))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) (*.f32 (*.f32 #s(literal 16 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32)))) s) (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))))) |
(*.f32 (*.f32 u u) (-.f32 (+.f32 (/.f32 #s(literal 0 binary32) u) (+.f32 (/.f32 #s(literal 0 binary32) s) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) u) (/.f32 #s(literal 0 binary32) (*.f32 u u))))) (/.f32 (PI.f32) (*.f32 u u)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -4 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) #s(literal 0 binary32)) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32)) #s(literal 16 binary32))) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(*.f32 (*.f32 u u) (-.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (+.f32 (/.f32 (PI.f32) u) (/.f32 (*.f32 (PI.f32) (PI.f32)) s)) (/.f32 #s(literal 0 binary32) u)) (/.f32 #s(literal 0 binary32) (*.f32 u u))) (/.f32 (PI.f32) (*.f32 u u)))) |
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(*.f32 (neg.f32 s) (log.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) (fma.f32 #s(literal -2 binary32) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32) (*.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 0 binary32))) #s(literal -4 binary32))) (*.f32 s (*.f32 s s)))) (fma.f32 #s(literal -8 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) (*.f32 s s)) (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) s) (/.f32 #s(literal 0 binary32) (*.f32 s s))))))) |
(fma.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -6 binary32) (fma.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (fma.f32 #s(literal -2 binary32) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 0 binary32))) #s(literal -4 binary32))) (fma.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) #s(literal 0 binary32))) (*.f32 #s(literal -128 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))))))) s) (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) #s(literal 0 binary32)) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))))))) (neg.f32 s))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (exp.f32 (log.f32 (PI.f32))) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
| Outputs |
|---|
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
2 calls:
| 46.0ms | u |
| 34.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 1 | u |
| 84.1% | 1 | s |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary32) |
(neg.f32 (PI.f32)) |
(*.f32 #s(literal 2 binary32) (*.f32 u (PI.f32))) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) |
(/.f32 #s(literal 0 binary32) s) |
(neg.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32))) |
(*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) |
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) |
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s)) |
(/.f32 (fma.f32 (PI.f32) (neg.f32 s) #s(literal 0 binary32)) s) |
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)) |
(-.f32 #s(literal 0 binary32) (*.f32 u (fma.f32 (PI.f32) #s(literal -2 binary32) (/.f32 (PI.f32) u)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)))) |
(/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal 0 binary32)) s) |
(*.f32 (neg.f32 s) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) s)) |
(*.f32 (neg.f32 s) (*.f32 (/.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) s) #s(literal 4 binary32))) |
(*.f32 (neg.f32 s) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal -4 binary32) s))) |
(-.f32 (fma.f32 u (fma.f32 #s(literal 2 binary32) (fma.f32 u (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (PI.f32)) #s(literal 0 binary32)) (/.f32 #s(literal 0 binary32) s)) (PI.f32)) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (neg.f32 (/.f32 (neg.f32 (PI.f32)) u)) u))) |
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (-.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (neg.f32 (PI.f32)) u)) u))) |
(/.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 #s(literal -4 binary32) (/.f32 u (PI.f32)) (/.f32 #s(literal -2 binary32) (PI.f32))) (/.f32 #s(literal -1 binary32) (PI.f32)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -4 binary32) (*.f32 u u)) (*.f32 (PI.f32) (PI.f32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(*.f32 (*.f32 u u) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (/.f32 (fma.f32 (PI.f32) #s(literal -2 binary32) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) u)))) (neg.f32 u)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) #s(literal 0 binary32)))))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) (*.f32 (*.f32 #s(literal 16 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32))))) s) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (neg.f32 (PI.f32))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) (*.f32 (*.f32 #s(literal 16 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32)))) s) (*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))))) |
(*.f32 (*.f32 u u) (-.f32 (+.f32 (/.f32 #s(literal 0 binary32) u) (+.f32 (/.f32 #s(literal 0 binary32) s) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) u) (/.f32 #s(literal 0 binary32) (*.f32 u u))))) (/.f32 (PI.f32) (*.f32 u u)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 #s(literal 2 binary32) (*.f32 u (PI.f32)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -4 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)) #s(literal 0 binary32)) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (fma.f32 u #s(literal -1/4 binary32) #s(literal 1/16 binary32)) #s(literal 16 binary32))) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(*.f32 (*.f32 u u) (-.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (+.f32 (/.f32 (PI.f32) u) (/.f32 (*.f32 (PI.f32) (PI.f32)) s)) (/.f32 #s(literal 0 binary32) u)) (/.f32 #s(literal 0 binary32) (*.f32 u u))) (/.f32 (PI.f32) (*.f32 u u)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 u u)) (*.f32 (PI.f32) (PI.f32)))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -4 binary32))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (fma.f32 u (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal 4 binary32) u #s(literal -4 binary32))) (*.f32 (PI.f32) (PI.f32)))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (neg.f32 (PI.f32))) |
(neg.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 u (PI.f32)))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -4 binary32))) |
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(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32) (neg.f32 (*.f32 (*.f32 (*.f32 u (PI.f32)) (*.f32 u (PI.f32))) #s(literal 1/4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(*.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal -64 binary32) (/.f32 #s(literal 0 binary32) (fma.f32 s (fma.f32 s s #s(literal 0 binary32)) #s(literal 0 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -4 binary32)) (-.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal -4 binary32)) (/.f32 #s(literal 0 binary32) s)) (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32)))))) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u u) (fma.f32 #s(literal -4 binary32) (+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s u))) (-.f32 (fma.f32 #s(literal 4 binary32) (+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s u))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s (*.f32 u u)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 s (*.f32 u u)))))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) #s(literal 0 binary32)) (neg.f32 (*.f32 s s))) (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) s) #s(literal 1 binary32))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32)) (-.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) (/.f32 (*.f32 (*.f32 (*.f32 u (PI.f32)) (*.f32 u (PI.f32))) #s(literal 1/4 binary32)) (-.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))))) #s(literal -4 binary32))) |
(*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32)))) #s(literal -8 binary32) #s(literal 0 binary32)) (neg.f32 (*.f32 s s))) (fma.f32 #s(literal -4 binary32) (/.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal -1/4 binary32))) s) #s(literal 1 binary32))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 u u) u) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/8 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/64 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (fma.f32 (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) (-.f32 (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32)))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32))) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (*.f32 (*.f32 (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (*.f32 (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))))) (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/4 binary32)) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))) (*.f32 (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32)))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 6 binary32)) (fma.f32 #s(literal -1/4 binary32) u #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) (fma.f32 #s(literal -2 binary32) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/48 binary32) (*.f32 (*.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 0 binary32))) #s(literal -4 binary32))) (*.f32 s (*.f32 s s)))) (fma.f32 #s(literal -8 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) (*.f32 s s)) (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32))) s) (/.f32 #s(literal 0 binary32) (*.f32 s s))))))) |
(fma.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -6 binary32) (fma.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (fma.f32 #s(literal -2 binary32) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/48 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 0 binary32))) #s(literal -4 binary32))) (fma.f32 #s(literal -24 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) #s(literal 0 binary32))) (*.f32 #s(literal -128 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))))))) s) (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) (fma.f32 #s(literal -8 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) #s(literal 0 binary32)) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))))))) (neg.f32 s))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (exp.f32 (log.f32 (PI.f32))) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
| Outputs |
|---|
(*.f32 (neg.f32 s) (log.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) s) #s(literal 1 binary32)))) |
2 calls:
| 111.0ms | s |
| 23.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.2% | 1 | s |
| 25.2% | 1 | u |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary32) |
(neg.f32 (PI.f32)) |
(*.f32 #s(literal 2 binary32) (*.f32 u (PI.f32))) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) |
(/.f32 #s(literal 0 binary32) s) |
(neg.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32))) |
(*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) |
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) |
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s)) |
(/.f32 (fma.f32 (PI.f32) (neg.f32 s) #s(literal 0 binary32)) s) |
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)) |
(-.f32 #s(literal 0 binary32) (*.f32 u (fma.f32 (PI.f32) #s(literal -2 binary32) (/.f32 (PI.f32) u)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)))) |
(/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal 0 binary32)) s) |
(*.f32 (neg.f32 s) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) s)) |
(*.f32 (neg.f32 s) (*.f32 (/.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) s) #s(literal 4 binary32))) |
(*.f32 (neg.f32 s) (*.f32 (fma.f32 (PI.f32) #s(literal -1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal -4 binary32) s))) |
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(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (fma.f32 u (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal 1/4 binary32) u #s(literal -1/4 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 #s(literal 4 binary32) (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))))) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 s s #s(literal 0 binary32))) (fma.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) (*.f32 (fma.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 16 binary32)) #s(literal 0 binary32))))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 16 binary32) (*.f32 u u)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) u) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)))) (neg.f32 u))) (*.f32 #s(literal -16 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))))))) s) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -16 binary32)) (fma.f32 (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 16 binary32) #s(literal 0 binary32))) s) (*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32))) |
(*.f32 (neg.f32 s) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 s (*.f32 u (PI.f32))) #s(literal -1 binary32)))) |
| Outputs |
|---|
(/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal 0 binary32)) s) |
2 calls:
| 17.0ms | s |
| 16.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.9% | 1 | u |
| 12.9% | 1 | s |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary32) |
(neg.f32 (PI.f32)) |
(*.f32 #s(literal 2 binary32) (*.f32 u (PI.f32))) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) |
(/.f32 #s(literal 0 binary32) s) |
(neg.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32))) |
(*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) |
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) |
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s)) |
(/.f32 (fma.f32 (PI.f32) (neg.f32 s) #s(literal 0 binary32)) s) |
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)) |
(-.f32 #s(literal 0 binary32) (*.f32 u (fma.f32 (PI.f32) #s(literal -2 binary32) (/.f32 (PI.f32) u)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32)))) |
| Outputs |
|---|
(-.f32 #s(literal 0 binary32) (*.f32 u (fma.f32 (PI.f32) #s(literal -2 binary32) (/.f32 (PI.f32) u)))) |
2 calls:
| 4.0ms | u |
| 4.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.9% | 1 | s |
| 12.9% | 1 | u |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary32) |
(neg.f32 (PI.f32)) |
(*.f32 #s(literal 2 binary32) (*.f32 u (PI.f32))) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) |
(/.f32 #s(literal 0 binary32) s) |
(neg.f32 (fma.f32 (*.f32 (PI.f32) u) #s(literal -2 binary32) (PI.f32))) |
(*.f32 #s(literal -4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32)))) |
(*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) u #s(literal -1/4 binary32)))) |
(*.f32 (neg.f32 s) (/.f32 (PI.f32) s)) |
(/.f32 (fma.f32 (PI.f32) (neg.f32 s) #s(literal 0 binary32)) s) |
(*.f32 (fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 u (*.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal -4 binary32)) |
| Outputs |
|---|
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) |
2 calls:
| 5.0ms | s |
| 4.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.9% | 1 | u |
| 12.9% | 1 | s |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary32) |
(neg.f32 (PI.f32)) |
(*.f32 #s(literal 2 binary32) (*.f32 u (PI.f32))) |
| Outputs |
|---|
(neg.f32 (PI.f32)) |
2 calls:
| 2.0ms | u |
| 2.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.8% | 1 | s |
| 12.8% | 1 | u |
Compiled 6 to 4 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal 0 binary32) |
| Outputs |
|---|
#s(literal 0 binary32) |
2 calls:
| 1.0ms | u |
| 1.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.1% | 1 | u |
| 10.1% | 1 | s |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
| 416× | distribute-lft-neg-in_binary32 |
| 210× | neg-mul-1_binary32 |
| 186× | neg-sub0_binary32 |
| 178× | distribute-neg-in_binary32 |
| 152× | sub-neg_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 196 |
| 1 | 141 | 196 |
| 2 | 198 | 196 |
| 3 | 252 | 196 |
| 4 | 279 | 196 |
| 5 | 305 | 196 |
| 6 | 341 | 196 |
| 7 | 407 | 196 |
| 8 | 518 | 196 |
| 9 | 648 | 196 |
| 10 | 761 | 196 |
| 11 | 841 | 196 |
| 12 | 896 | 196 |
| 13 | 935 | 196 |
| 14 | 966 | 196 |
| 15 | 1001 | 196 |
| 16 | 1042 | 196 |
| 17 | 1101 | 196 |
| 18 | 1160 | 196 |
| 19 | 1208 | 196 |
| 20 | 1225 | 196 |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32))))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) s) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal 0 binary32)) s) |
(-.f32 #s(literal 0 binary32) (*.f32 u (fma.f32 (PI.f32) #s(literal -2 binary32) (/.f32 (PI.f32) u)))) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) |
(neg.f32 (PI.f32)) |
#s(literal 0 binary32) |
| Outputs |
|---|
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32))))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) s)))))))))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))) u (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s))))))))) |
(*.f32 (neg.f32 s) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (neg.f32 s) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s)))))))))) |
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s)))))) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) s) (neg.f32 (PI.f32))) s)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (PI.f32) s))))))))) |
(*.f32 (neg.f32 s) (log.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) s) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) s) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal 0 binary32)) s) |
(/.f32 (fma.f32 (*.f32 s #s(literal -4 binary32)) (*.f32 (PI.f32) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/4 binary32))) #s(literal 0 binary32)) s) |
(-.f32 #s(literal 0 binary32) (*.f32 u (fma.f32 (PI.f32) #s(literal -2 binary32) (/.f32 (PI.f32) u)))) |
(*.f32 (fma.f32 (PI.f32) #s(literal -2 binary32) (/.f32 (PI.f32) u)) (neg.f32 u)) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) |
(neg.f32 (PI.f32)) |
#s(literal 0 binary32) |
| 11 306× | accelerator-lowering-fma.f32 |
| 11 306× | accelerator-lowering-fma.f64 |
| 10 014× | accelerator-lowering-fma.f32 |
| 10 014× | accelerator-lowering-fma.f64 |
| 9 166× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1058 | 14267 |
| 1 | 3356 | 12116 |
| 0 | 8384 | 11314 |
| 0 | 69 | 419 |
| 1 | 497 | 313 |
| 2 | 4656 | 301 |
| 0 | 8654 | 275 |
| 0 | 1305 | 15477 |
| 1 | 4233 | 11816 |
| 0 | 8727 | 10908 |
| 0 | 72 | 363 |
| 1 | 479 | 353 |
| 2 | 4991 | 353 |
| 0 | 8895 | 318 |
| 0 | 902 | 14058 |
| 1 | 2927 | 11369 |
| 0 | 8580 | 10591 |
| 0 | 21 | 133 |
| 1 | 142 | 133 |
| 2 | 1318 | 133 |
| 0 | 8583 | 117 |
| 0 | 537 | 8581 |
| 1 | 1642 | 6884 |
| 2 | 6883 | 6870 |
| 0 | 8063 | 6371 |
| 0 | 77 | 453 |
| 1 | 548 | 361 |
| 2 | 5232 | 357 |
| 0 | 8914 | 326 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 500 to 276 computations (44.8% saved)
Compiled 482 to 198 computations (58.9% saved)
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