
Time bar (total: 20.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 75% | 0% | 0% | 25% | 0% | 3 |
| 0% | 0% | 62.5% | 0% | 0% | 37.5% | 0% | 4 |
| 0% | 0% | 56.2% | 0% | 0% | 43.7% | 0% | 5 |
| 0% | 0% | 53.1% | 0% | 0% | 46.9% | 0% | 6 |
| 3.1% | 1.6% | 48.4% | 0% | 0% | 50% | 0% | 7 |
| 4.8% | 2.3% | 46.1% | 0% | 0% | 51.5% | 0% | 8 |
| 5.6% | 2.7% | 45.7% | 0% | 0% | 51.5% | 0% | 9 |
| 6.5% | 3.1% | 45.1% | 0% | 0% | 51.7% | 0% | 10 |
| 6.9% | 3.3% | 44.8% | 0% | 0% | 51.8% | 0% | 11 |
| 6.9% | 3.3% | 44.8% | 0% | 0% | 51.9% | 0% | 12 |
Compiled 39 to 18 computations (53.8% saved)
| 2.3s | 7 623× | 1 | valid |
| 2.2s | 7 205× | 1 | invalid |
| 210.0ms | 152× | 2 | valid |
| 58.0ms | 481× | 0 | valid |
| 1.0ms | 10× | 0 | invalid |
| 0.0ms | 4× | 0 | exit |
ival-exp: 1.3s (32.4% of total)ival-div: 614.0ms (15.1% of total)ival-mult: 612.0ms (15.1% of total)ival-log: 366.0ms (9% of total)adjust: 361.0ms (8.9% of total)ival-neg: 319.0ms (7.9% of total)ival-pi: 161.0ms (4% of total)ival-add: 147.0ms (3.6% of total)ival-sub: 134.0ms (3.3% of total)exact: 14.0ms (0.3% of total)ival-true: 12.0ms (0.3% of total)ival-assert: 6.0ms (0.1% of total)| 1× | egg-herbie |
| 8 988× | lower-fma.f64 |
| 8 988× | lower-fma.f32 |
| 2 264× | lower-+.f32 |
| 2 262× | lower-+.f64 |
| 2 004× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 81 |
| 1 | 53 | 64 |
| 2 | 163 | 64 |
| 3 | 458 | 64 |
| 4 | 878 | 64 |
| 5 | 1200 | 64 |
| 6 | 1440 | 64 |
| 7 | 1537 | 64 |
| 8 | 1770 | 64 |
| 9 | 1897 | 64 |
| 10 | 2161 | 52 |
| 11 | 2481 | 50 |
| 12 | 2715 | 50 |
| 13 | 3126 | 50 |
| 14 | 3765 | 50 |
| 15 | 4525 | 50 |
| 16 | 5273 | 50 |
| 17 | 6484 | 50 |
| 18 | 6758 | 50 |
| 19 | 6770 | 50 |
| 20 | 7470 | 50 |
| 0 | 16 | 37 |
| 0 | 29 | 37 |
| 1 | 58 | 32 |
| 2 | 133 | 32 |
| 3 | 278 | 32 |
| 4 | 408 | 32 |
| 5 | 513 | 32 |
| 6 | 607 | 32 |
| 7 | 742 | 32 |
| 8 | 850 | 32 |
| 9 | 1064 | 32 |
| 10 | 1288 | 32 |
| 11 | 1420 | 32 |
| 12 | 1559 | 32 |
| 13 | 1665 | 32 |
| 14 | 1873 | 32 |
| 15 | 2285 | 32 |
| 16 | 3142 | 32 |
| 17 | 4668 | 25 |
| 18 | 5411 | 25 |
| 19 | 7617 | 25 |
| 0 | 8447 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| Outputs |
|---|
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 249 | 0 | - | 1 | (0.006474252188476852) | (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
| 7 | 0 | - | 0 | - | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) |
| 0 | 7 | (1292414.7394191443) | 0 | - | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| 0 | 0 | - | 0 | - | f |
| 0 | 0 | - | 0 | - | (/.f64 (PI.f64) #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) | cancellation | 248 | 1 |
/.f64 | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) | o/o | 7 | 0 |
| ↳ | (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) | overflow | 7 | |
| ↳ | (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) | overflow | 7 | |
| ↳ | (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) | overflow | 7 | |
| ↳ | (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) | overflow | 7 | |
log.f64 | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) | sensitivity | 7 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 255 | 0 |
| - | 0 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 255 | 0 | 0 |
| - | 0 | 1 | 0 |
| number | freq |
|---|---|
| 0 | 1 |
| 1 | 248 |
| 2 | 7 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 225.0ms | 480× | 1 | valid |
| 22.0ms | 14× | 2 | valid |
| 2.0ms | 18× | 0 | valid |
Compiled 472 to 68 computations (85.6% saved)
ival-log: 85.0ms (41.8% of total)ival-exp: 34.0ms (16.7% of total)adjust: 32.0ms (15.7% of total)ival-div: 18.0ms (8.8% of total)ival-mult: 12.0ms (5.9% of total)ival-neg: 8.0ms (3.9% of total)ival-pi: 6.0ms (2.9% of total)ival-sub: 4.0ms (2% of total)ival-add: 4.0ms (2% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 5.4% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
Compiled 38 to 16 computations (57.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
| ✓ | cost-diff | 384 | (/.f64 (PI.f64) #s(literal 4 binary64)) |
| ✓ | cost-diff | 13568 | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| 8 988× | lower-fma.f64 |
| 8 988× | lower-fma.f32 |
| 2 264× | lower-+.f32 |
| 2 262× | lower-+.f64 |
| 2 004× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 196 |
| 0 | 29 | 196 |
| 1 | 58 | 177 |
| 2 | 133 | 177 |
| 3 | 278 | 177 |
| 4 | 408 | 177 |
| 5 | 513 | 177 |
| 6 | 607 | 177 |
| 7 | 742 | 177 |
| 8 | 850 | 177 |
| 9 | 1064 | 177 |
| 10 | 1288 | 177 |
| 11 | 1420 | 177 |
| 12 | 1559 | 177 |
| 13 | 1665 | 177 |
| 14 | 1873 | 177 |
| 15 | 2285 | 177 |
| 16 | 3142 | 177 |
| 17 | 4668 | 149 |
| 18 | 5411 | 149 |
| 19 | 7617 | 149 |
| 0 | 8447 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(PI.f64) |
#s(literal 4 binary64) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) |
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
f |
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) |
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) |
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
| Outputs |
|---|
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
#s(literal 4 binary64) |
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) |
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
(+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) |
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) |
(exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))) |
f |
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) |
(exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))) |
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) |
(*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))) |
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
(-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
| ✓ | accuracy | 99.4% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| ✓ | accuracy | 97.0% | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| ✓ | accuracy | 10.0% | (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
| 66.0ms | 240× | 1 | valid |
| 7.0ms | 7× | 2 | valid |
| 1.0ms | 9× | 0 | valid |
Compiled 198 to 18 computations (90.9% saved)
ival-exp: 19.0ms (32.3% of total)ival-div: 9.0ms (15.3% of total)ival-log: 8.0ms (13.6% of total)adjust: 6.0ms (10.2% of total)ival-mult: 6.0ms (10.2% of total)ival-neg: 4.0ms (6.8% of total)ival-pi: 2.0ms (3.4% of total)ival-sub: 2.0ms (3.4% of total)ival-add: 2.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (PI.f64) #s(literal 4 binary64)) (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) (patch (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (patch (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) (patch (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) (taylor 0 f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) (taylor 0 f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) (taylor 0 f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) (taylor 0 f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) (patch (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) (patch (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) (patch (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) (patch (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | f | @ | inf | (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) |
| 36.0ms | f | @ | -inf | (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) |
| 3.0ms | f | @ | 0 | (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) |
| 1.0ms | f | @ | 0 | (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) |
| 1.0ms | f | @ | -inf | (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) |
| 1× | egg-herbie |
| 18 550× | lower-fma.f64 |
| 18 550× | lower-fma.f32 |
| 3 724× | lower-*.f64 |
| 3 724× | lower-*.f32 |
| 2 180× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 171 | 1490 |
| 1 | 484 | 1364 |
| 2 | 1748 | 1236 |
| 3 | 7034 | 1196 |
| 0 | 9162 | 1178 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) |
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* f (- (* 1/4 (PI)) (* -1/4 (PI)))) |
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI)))) |
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI)))) |
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI)))) |
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))) |
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))) |
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))) |
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))) |
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))) |
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))) |
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))) |
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))) |
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) |
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI)))))) |
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI)))))))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
| Outputs |
|---|
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) |
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
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(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
| 1× | batch-egg-rewrite |
| 5 070× | lower-*.f32 |
| 5 066× | lower-*.f64 |
| 3 230× | lower-fma.f64 |
| 3 230× | lower-fma.f32 |
| 3 206× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 129 |
| 0 | 29 | 87 |
| 1 | 119 | 49 |
| 2 | 783 | 49 |
| 0 | 8561 | 49 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(+.f64 (*.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))))) |
(+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))))) |
(exp.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)))) |
(fma.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(fma.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(fma.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) |
(fma.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))))) |
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(/.f64 (*.f64 (PI.f64) (neg.f64 f)) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64))) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) (neg.f64 f))) #s(literal 4 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64)) #s(literal 0 binary64)))) |
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) |
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) f))) |
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 f #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (exp.f64 f))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 f #s(literal 1 binary64))) |
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
(*.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/4 binary64) f))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 f #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) f) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) f) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) |
(*.f64 #s(literal 1/4 binary64) (/.f64 f (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (PI.f64) (neg.f64 f)) #s(literal -1/4 binary64)) |
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)) |
(*.f64 (/.f64 f #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 f #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(*.f64 (/.f64 f (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 f (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 f (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 f (/.f64 #s(literal -1 binary64) (PI.f64))) #s(literal -1/4 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (PI.f64))) (/.f64 f #s(literal -4 binary64))) |
(*.f64 (*.f64 f (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) |
Compiled 39 804 to 4 665 computations (88.3% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 959 | 13 | 972 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 960 | 13 | 973 |
| Status | Accuracy | Program |
|---|---|---|
| 96.5% | (/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))) | |
| ▶ | 99.5% | (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
| 96.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) | |
| ▶ | 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
| 96.6% | (-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) | |
| 99.4% | (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) | |
| ▶ | 96.4% | (*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
| 99.3% | (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))) | |
| 99.3% | (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) | |
| 96.7% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) | |
| ▶ | 96.3% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
| ▶ | 96.7% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64)))))) |
| 96.4% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64))) |
Compiled 578 to 382 computations (33.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
| ✓ | cost-diff | 0 | (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
| ✓ | cost-diff | 128 | (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))))) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) |
| ✓ | cost-diff | 704 | (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) |
| ✓ | cost-diff | 1216 | (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) |
| ✓ | cost-diff | 128 | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
| ✓ | cost-diff | 0 | (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
| ✓ | cost-diff | 0 | (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) |
| ✓ | cost-diff | 0 | (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
| 5 742× | lower-*.f32 |
| 5 716× | lower-*.f64 |
| 3 430× | lower-fma.f32 |
| 3 426× | lower-fma.f64 |
| 2 368× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 593 |
| 0 | 101 | 585 |
| 1 | 215 | 541 |
| 2 | 608 | 518 |
| 3 | 2313 | 516 |
| 4 | 5936 | 500 |
| 0 | 8316 | 498 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) |
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
f |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(PI.f64) |
#s(literal 4 binary64) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
#s(literal 2 binary64) |
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
f |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) |
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
f |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64)))))) |
(fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))))) |
(-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) |
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
#s(literal 1/4 binary64) |
(PI.f64) |
(log.f64 f) |
f |
(/.f64 #s(literal -4 binary64) (PI.f64)) |
#s(literal -4 binary64) |
(*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64)))) |
(*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))) |
(*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) |
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) |
(*.f64 (PI.f64) #s(literal 1/48 binary64)) |
#s(literal 1/48 binary64) |
#s(literal -2 binary64) |
(*.f64 (PI.f64) #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
(/.f64 #s(literal -2 binary64) (PI.f64)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) |
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
f |
(*.f64 (PI.f64) #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
#s(literal 2 binary64) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) |
| Outputs |
|---|
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) |
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) |
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
f |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) |
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(PI.f64) |
#s(literal 4 binary64) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) |
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) |
#s(literal 2 binary64) |
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
f |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) |
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) |
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) |
f |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (*.f64 f (*.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))))) |
(fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (*.f64 f (*.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64)))) |
(-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) |
(-.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) |
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) |
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1/4 binary64) (PI.f64)) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(PI.f64) |
(log.f64 f) |
f |
(/.f64 #s(literal -4 binary64) (PI.f64)) |
#s(literal -4 binary64) |
(*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64)))) |
(*.f64 f (*.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) |
(*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))) |
(*.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64)) |
(*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) |
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) f)) |
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) |
(*.f64 (PI.f64) #s(literal 1/12 binary64)) |
(*.f64 (PI.f64) #s(literal 1/48 binary64)) |
#s(literal 1/48 binary64) |
#s(literal -2 binary64) |
(*.f64 (PI.f64) #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
(/.f64 #s(literal -2 binary64) (PI.f64)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) |
(neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) |
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) |
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
f |
(*.f64 (PI.f64) #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
#s(literal 2 binary64) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
| ✓ | accuracy | 99.3% | (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
| ✓ | accuracy | 97.4% | (PI.f64) |
| ✓ | accuracy | 98.5% | (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) |
| ✓ | accuracy | 98.5% | (*.f64 (PI.f64) #s(literal 1/48 binary64)) |
| ✓ | accuracy | 97.6% | (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
| ✓ | accuracy | 97.4% | (PI.f64) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) |
| ✓ | accuracy | 97.4% | (PI.f64) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.4% | #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 99.4% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) |
| ✓ | accuracy | 97.4% | (PI.f64) |
| ✓ | accuracy | 100.0% | (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
| ✓ | accuracy | 99.5% | (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
| ✓ | accuracy | 97.4% | (PI.f64) |
| 214.0ms | 240× | 1 | valid |
| 89.0ms | 7× | 5 | exit |
| 12.0ms | 9× | 0 | valid |
Compiled 536 to 58 computations (89.2% saved)
ival-log: 84.0ms (31.6% of total)ival-mult: 51.0ms (19.2% of total)ival-div: 42.0ms (15.8% of total)ival-exp: 26.0ms (9.8% of total)adjust: 21.0ms (7.9% of total)ival-tanh: 10.0ms (3.8% of total)ival-neg: 8.0ms (3% of total)ival-add: 7.0ms (2.6% of total)ival-sub: 5.0ms (1.9% of total)ival-pow2: 5.0ms (1.9% of total)const: 4.0ms (1.5% of total)ival-pi: 3.0ms (1.1% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ()) |
#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (patch (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
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#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (PI.f64) #s(literal 1/4 binary64)) (patch (*.f64 (PI.f64) #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))) (patch (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (patch (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (patch (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))))) (patch (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))))) #<representation binary64>) () ()) |
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#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (patch #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
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#s(alt (*.f64 (PI.f64) #s(literal 1/48 binary64)) (patch (*.f64 (PI.f64) #s(literal 1/48 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log f) (log (* 1/4 (PI)))) (taylor 0 f) (#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))))))) (taylor 0 f) (#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ()) |
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor inf f) (#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ()) |
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51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 86.0ms | f | @ | -inf | (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4)) |
| 29.0ms | f | @ | inf | (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) |
| 25.0ms | f | @ | inf | (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4)) |
| 9.0ms | f | @ | 0 | (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) |
| 4.0ms | f | @ | 0 | (neg (pow (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4)) 2)) |
| 1× | egg-herbie |
| 4 498× | lower-*.f64 |
| 4 498× | lower-*.f32 |
| 4 492× | lower-fma.f64 |
| 4 492× | lower-fma.f32 |
| 1 832× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 420 | 7268 |
| 1 | 1405 | 6329 |
| 2 | 6425 | 5548 |
| 0 | 8874 | 5361 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) |
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(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
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(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(+ (log f) (log (* 1/4 (PI)))) |
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(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) |
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(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
| Outputs |
|---|
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) |
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64)) |
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64)) #s(literal 0 binary64)) |
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2)))))) |
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(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
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(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
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(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
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(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
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(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64)) |
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64)) |
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64)) |
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64)) |
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64)) |
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64)) |
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) |
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f) |
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) |
(/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))) |
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))) |
| 1× | batch-egg-rewrite |
| 5 008× | lower-*.f32 |
| 4 982× | lower-*.f64 |
| 3 490× | lower-fma.f32 |
| 3 486× | lower-fma.f64 |
| 3 360× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 338 |
| 0 | 95 | 254 |
| 1 | 355 | 229 |
| 2 | 2529 | 229 |
| 0 | 8608 | 229 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) |
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
(*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))) |
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) |
(fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(*.f64 (PI.f64) #s(literal 1/48 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) |
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) #s(literal 1/4 binary64)) |
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))) #s(literal 1/4 binary64)) |
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))) #s(literal -1/4 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1/4 binary64)) (PI.f64)) |
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)))) |
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) #s(literal -1/4 binary64)) |
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))) #s(literal 1/4 binary64)) |
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -1/4 binary64)) (PI.f64)) |
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) |
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(/.f64 (exp.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)))) (exp.f64 (log.f64 #s(literal -1/4 binary64)))) |
(pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #s(literal 2 binary64)) |
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64))) |
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))) |
(*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) |
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) #s(literal -4 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))) #s(literal -1 binary64)) #s(literal -4 binary64)) |
(*.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(*.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) #s(literal 1 binary64)) #s(literal -4 binary64)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (exp.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (exp.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) |
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 0 binary64)) |
(+.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (PI.f64))) |
(+.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (/.f64 (PI.f64) #s(literal 1 binary64)))) |
(+.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 1/4 binary64))) |
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) |
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))) (log.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) |
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))) (log.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) (log.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))) |
(+.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 #s(literal -1/4 binary64))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
(+.f64 (log.f64 #s(literal -1/4 binary64)) (log.f64 (neg.f64 (PI.f64)))) |
(+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))) |
(+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) |
(-.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 0 binary64)) |
(-.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 #s(literal -4 binary64))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))) |
(-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 #s(literal -1 binary64))) |
(-.f64 (log.f64 (neg.f64 (neg.f64 (PI.f64)))) (log.f64 #s(literal 4 binary64))) |
(fma.f64 #s(literal 1 binary64) (log.f64 (PI.f64)) (log.f64 #s(literal 1/4 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) (log.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) (log.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) (log.f64 #s(literal 1/4 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) (log.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)))) |
(fma.f64 (log.f64 (PI.f64)) #s(literal 1 binary64) (log.f64 #s(literal 1/4 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) (log.f64 #s(literal 1/4 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (log.f64 #s(literal 1/4 binary64))) |
(neg.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))) |
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (PI.f64)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))) |
(*.f64 (PI.f64) #s(literal 1/48 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64))) |
(*.f64 #s(literal 1/48 binary64) (PI.f64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/48 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/48 binary64))) |
(*.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
Compiled 79 132 to 7 287 computations (90.8% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 471 | 11 | 2 482 |
| Fresh | 7 | 1 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 482 | 13 | 2 495 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.9% | (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) |
| ✓ | 99.5% | (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
| 96.4% | (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) | |
| 96.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) | |
| ▶ | 96.3% | (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) |
| 95.7% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) | |
| ▶ | 94.9% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
| 96.7% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) | |
| 96.5% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) | |
| ▶ | 96.7% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
| 96.7% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f #s(approx (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))) | |
| 96.7% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal -2 binary64))) f) (PI.f64) (*.f64 (PI.f64) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (PI.f64)))) | |
| ▶ | 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) |
Compiled 526 to 372 computations (29.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) |
| ✓ | cost-diff | 1600 | (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
| ✓ | cost-diff | 0 | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
| ✓ | cost-diff | 128 | (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) |
| ✓ | cost-diff | 1216 | (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -4 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) |
| ✓ | cost-diff | 0 | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
| ✓ | cost-diff | 0 | (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
| ✓ | cost-diff | 0 | (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) |
| ✓ | cost-diff | 0 | (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) |
| 7 300× | lower-*.f32 |
| 7 254× | lower-*.f64 |
| 6 078× | lower-fma.f32 |
| 6 076× | lower-fma.f64 |
| 2 170× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 739 |
| 0 | 142 | 712 |
| 1 | 300 | 670 |
| 2 | 979 | 621 |
| 3 | 5122 | 619 |
| 0 | 8111 | 615 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) |
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) |
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
f |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) |
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) |
(*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) |
f |
(*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))) |
(*.f64 (PI.f64) #s(literal -1/12 binary64)) |
(PI.f64) |
#s(literal -1/12 binary64) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) |
(/.f64 #s(literal -4 binary64) (PI.f64)) |
#s(literal -4 binary64) |
(PI.f64) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
#s(literal -1 binary64) |
(*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
f |
(*.f64 (PI.f64) #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -4 binary64) (PI.f64)) |
#s(literal -4 binary64) |
(PI.f64) |
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) |
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) |
(*.f64 #s(literal 1/4 binary64) f) |
#s(literal 1/4 binary64) |
f |
(/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) |
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) |
(*.f64 (PI.f64) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f)) |
(*.f64 #s(literal 1/2 binary64) f) |
#s(literal 1/2 binary64) |
(*.f64 (PI.f64) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64)) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 4 binary64) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
#s(literal 2 binary64) |
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
f |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) |
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) |
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) |
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) |
(*.f64 (PI.f64) #s(literal 1/4 binary64)) |
(PI.f64) |
#s(literal 1/4 binary64) |
f |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 #s(literal -1/12 binary64) (*.f64 f (*.f64 (PI.f64) f))))) |
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) |
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 #s(literal -1/12 binary64) (*.f64 f (*.f64 (PI.f64) f)))) |
(*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) |
(*.f64 #s(literal -1/12 binary64) (*.f64 f (*.f64 (PI.f64) f))) |
f |
(*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))) |
(*.f64 (PI.f64) (*.f64 f #s(literal -1/12 binary64))) |
(*.f64 (PI.f64) #s(literal -1/12 binary64)) |
(PI.f64) |
#s(literal -1/12 binary64) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))) |
(/.f64 #s(literal -4 binary64) (PI.f64)) |
#s(literal -4 binary64) |
(PI.f64) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) |
(/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) |
#s(literal -1 binary64) |
(*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))) |
f |
(*.f64 (PI.f64) #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64))))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(fma.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)))))) |
(/.f64 #s(literal -4 binary64) (PI.f64)) |
#s(literal -4 binary64) |
(PI.f64) |
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) |
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) |
(*.f64 #s(literal 1/4 binary64) f) |
#s(literal 1/4 binary64) |
f |
(/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64))))) |
(*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) |
(*.f64 (PI.f64) (*.f64 f (*.f64 (*.f64 (PI.f64) f) #s(literal 1/24 binary64)))) |
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) |
(*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64))) |
(*.f64 (PI.f64) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f)) |
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) f) |
(*.f64 f #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (PI.f64) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64)) |
(/.f64 (PI.f64) #s(literal 4 binary64)) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 4 binary64) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) |
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) |
#s(literal 2 binary64) |
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
f |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) |
| ✓ | accuracy | 98.4% | (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 97.0% | #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 99.4% | (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 98.9% | (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 97.3% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
| ✓ | accuracy | 99.6% | (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
| ✓ | accuracy | 99.4% | (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) |
| ✓ | accuracy | 97.0% | #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) |
| ✓ | accuracy | 98.9% | (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) #s(literal -1/12 binary64)) |
| ✓ | accuracy | 97.3% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) |
| ✓ | accuracy | 6.0% | #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
| ✓ | accuracy | 99.5% | (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) |
| ✓ | accuracy | 98.4% | (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| 325.0ms | 240× | 1 | valid |
| 18.0ms | 7× | 2 | valid |
| 5.0ms | 9× | 0 | valid |
Compiled 608 to 85 computations (86% saved)
ival-mult: 121.0ms (42.4% of total)ival-div: 35.0ms (12.3% of total)ival-log: 33.0ms (11.6% of total)adjust: 22.0ms (7.7% of total)ival-exp: 19.0ms (6.7% of total)const: 13.0ms (4.6% of total)ival-neg: 12.0ms (4.2% of total)ival-sqrt: 9.0ms (3.2% of total)ival-add: 9.0ms (3.2% of total)ival-sub: 4.0ms (1.4% of total)ival-tanh: 4.0ms (1.4% of total)ival-pi: 3.0ms (1.1% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) #<representation binary64>) () ()) |
#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (patch (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) (patch #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (patch #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) (patch (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -4 binary64) (PI.f64)) (patch (/.f64 #s(literal -4 binary64) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (patch (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (patch (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (patch (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (patch #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (patch (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) (patch (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ()) |
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#s(alt (*.f64 (PI.f64) #s(literal -1/12 binary64)) (patch (*.f64 (PI.f64) #s(literal -1/12 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (patch #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (PI.f64) #s(literal 1/12 binary64)) (patch (*.f64 (PI.f64) #s(literal 1/12 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (patch #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2)))))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log f) (log (* 1/4 (PI)))) (taylor 0 f) (#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))))) (taylor 0 f) (#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))))) (taylor 0 f) (#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ()) |
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63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | f | @ | inf | (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) |
| 3.0ms | f | @ | -inf | (+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2))) |
| 2.0ms | f | @ | 0 | (+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2))) |
| 1.0ms | f | @ | inf | (+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2))) |
| 1.0ms | f | @ | 0 | (* (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) |
| 1× | egg-herbie |
| 11 406× | lower-fma.f64 |
| 11 406× | lower-fma.f32 |
| 4 072× | lower-*.f64 |
| 4 072× | lower-*.f32 |
| 3 158× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 330 | 5518 |
| 1 | 1027 | 4969 |
| 2 | 4193 | 4595 |
| 0 | 8435 | 4508 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) |
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) |
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2)))))) |
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI)))))))) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) |
(+ (log f) (log (* 1/4 (PI)))) |
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|---|
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) |
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(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))) (PI.f64)) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))) (PI.f64)) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))) (PI.f64)) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))) (PI.f64)) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))) (PI.f64)) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))) (PI.f64)) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))) (PI.f64)) |
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))) (PI.f64)) |
| 1× | batch-egg-rewrite |
| 4 608× | lower-*.f32 |
| 4 564× | lower-*.f64 |
| 3 212× | lower-/.f32 |
| 3 198× | lower-/.f64 |
| 3 154× | lower-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 559 |
| 0 | 142 | 386 |
| 1 | 474 | 319 |
| 2 | 3582 | 315 |
| 0 | 9187 | 315 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) |
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) |
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) |
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) |
(*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) |
(*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) |
(/.f64 #s(literal -4 binary64) (PI.f64)) |
(PI.f64) |
(/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) |
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
(sqrt.f64 (PI.f64)) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (PI.f64) #s(literal -1/12 binary64)) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) |
(*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(*.f64 (PI.f64) #s(literal 1/12 binary64)) |
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))) |
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))))) |
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) #s(literal 1/4 binary64)) |
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))) #s(literal -1/4 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))) |
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1/4 binary64)) (PI.f64)) |
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)))) #s(literal 1/4 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1/4 binary64))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (neg.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
(pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))) #s(literal -1 binary64)) |
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) |
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) #s(literal 4 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64))) |
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) |
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(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64)))) |
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64)) (*.f64 (PI.f64) (*.f64 #s(literal -1/24 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))) |
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal -1/6 binary64))) (*.f64 (PI.f64) #s(literal -1/6 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64)))) (neg.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64)))) (neg.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64)) (*.f64 (PI.f64) (*.f64 #s(literal -1/24 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal -1/6 binary64)))) (neg.f64 (*.f64 (PI.f64) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64))) (-.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal -1/6 binary64))))) (neg.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64)))) (neg.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64))) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/6 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal -1/6 binary64)))) #s(literal -1 binary64)) |
(*.f64 (PI.f64) #s(literal 1/12 binary64)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/12 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) |
(*.f64 #s(literal 1/12 binary64) (PI.f64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/12 binary64))) |
(*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64))))) |
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) |
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f) |
(*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) f)) |
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/12 binary64)) |
(*.f64 (*.f64 f #s(literal 1/12 binary64)) (PI.f64)) |
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f)))))))) |
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(/.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) #s(literal 1/4 binary64)) (PI.f64)) |
(/.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal 1/4 binary64)) |
(/.f64 (*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) |
(/.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) #s(literal 1/4 binary64))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (PI.f64))) #s(literal -1/4 binary64)) |
(/.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) #s(literal -1 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64)))) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) |
(pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) |
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f)))))) |
(*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))))) |
(*.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal 4 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4 binary64)) |
(*.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(*.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (neg.f64 (PI.f64))) #s(literal -4 binary64)) |
Compiled 53 868 to 6 969 computations (87.1% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 098 | 15 | 2 113 |
| Fresh | 3 | 4 | 7 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 106 | 20 | 2 126 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
| 95.8% | (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) | |
| 96.4% | (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) | |
| 96.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) | |
| 94.9% | (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) | |
| 96.2% | (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64)))) | |
| 96.3% | (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ -1 (* f (* (PI) -1/4))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))) | |
| 96.7% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) | |
| ▶ | 96.7% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))) |
| 96.7% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal -2 binary64))) f) (PI.f64) (*.f64 (PI.f64) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (PI.f64)))) | |
| ▶ | 96.8% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2))) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))) | |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f f) #s(literal -1/12 binary64)) (PI.f64)))) | |
| ▶ | 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))) |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f)))) | |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 binary64)))) | |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f))) | |
| ▶ | 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))) |
| ▶ | 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))) |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 binary64)))))) |
Compiled 614 to 406 computations (33.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -4 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))) |
| ✓ | cost-diff | 128 | (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))) |
| ✓ | cost-diff | 0 | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) f) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))) |
| ✓ | cost-diff | 0 | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))) |
| ✓ | cost-diff | 0 | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) |
| ✓ | cost-diff | 192 | (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) |
| ✓ | cost-diff | 320 | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) |
| 6 720× | lower-fma.f32 |
| 6 718× | lower-fma.f64 |
| 5 928× | lower-*.f32 |
| 5 886× | lower-*.f64 |
| 1 892× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 815 |
| 0 | 131 | 803 |
| 1 | 281 | 731 |
| 2 | 802 | 667 |
| 3 | 3307 | 661 |
| 4 | 6947 | 661 |
| 0 | 8030 | 650 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) |
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) |
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) |
(*.f64 (PI.f64) #s(literal 1/12 binary64)) |
(PI.f64) |
#s(literal 1/12 binary64) |
(*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) |
(*.f64 (PI.f64) f) |
f |
#s(literal -1 binary64) |
(*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) |
#s(literal -4 binary64) |
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) |
(*.f64 #s(literal 1/4 binary64) f) |
#s(literal 1/4 binary64) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))) |
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))) |
(*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))) |
f |
(*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)) |
(*.f64 f #s(literal -1/12 binary64)) |
#s(literal -1/12 binary64) |
(PI.f64) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))) |
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))) |
(*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)) |
(*.f64 (PI.f64) f) |
(PI.f64) |
f |
(*.f64 #s(literal -1/12 binary64) f) |
#s(literal -1/12 binary64) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))) |
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))) |
(*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))) |
f |
(*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
#s(literal -1/12 binary64) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))) |
(/.f64 #s(literal -4 binary64) (PI.f64)) |
#s(literal -4 binary64) |
(PI.f64) |
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) |
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) |
(*.f64 #s(literal 1/4 binary64) f) |
#s(literal 1/4 binary64) |
f |
#s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))) |
(*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) |
(*.f64 (PI.f64) (*.f64 f f)) |
(*.f64 f f) |
#s(literal -1/12 binary64) |
| Outputs |
|---|
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) |
(fma.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))) |
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) |
(fma.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) |
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) |
(*.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) |
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) f) #s(literal -1/12 binary64))) |
(*.f64 (PI.f64) #s(literal 1/12 binary64)) |
(PI.f64) |
#s(literal 1/12 binary64) |
(*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (neg.f64 f)) |
(*.f64 (PI.f64) f) |
f |
#s(literal -1 binary64) |
(*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) |
(*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) |
#s(literal -4 binary64) |
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) |
(log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) |
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1/4 binary64) f) |
(*.f64 f #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) |
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))) |
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))) |
(*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))) |
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))) |
f |
(*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)) |
(*.f64 (*.f64 (PI.f64) f) #s(literal -1/12 binary64)) |
(*.f64 f #s(literal -1/12 binary64)) |
#s(literal -1/12 binary64) |
(PI.f64) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) |
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))) |
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))) |
(*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)) |
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))) |
(*.f64 (PI.f64) f) |
(PI.f64) |
f |
(*.f64 #s(literal -1/12 binary64) f) |
(*.f64 f #s(literal -1/12 binary64)) |
#s(literal -1/12 binary64) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))) |
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))) |
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
f |
(*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 f #s(literal -1/12 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
#s(literal -1/12 binary64) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) |
(/.f64 #s(literal -4 binary64) (PI.f64)) |
#s(literal -4 binary64) |
(PI.f64) |
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) |
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) |
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) |
(log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) |
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1/4 binary64) f) |
(*.f64 f #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
f |
#s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))) |
#s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))) |
(*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) |
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))) |
(*.f64 (PI.f64) (*.f64 f f)) |
(*.f64 f f) |
#s(literal -1/12 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) |
| ✓ | accuracy | 99.4% | (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))) |
| ✓ | accuracy | 97.3% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))) |
| ✓ | accuracy | 98.4% | (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 97.3% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))) |
| ✓ | accuracy | 6.0% | #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) f) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal -1/12 binary64) f) |
| ✓ | accuracy | 97.3% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))) |
| ✓ | accuracy | 6.0% | #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))) |
| ✓ | accuracy | 99.5% | (*.f64 f #s(literal -1/12 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)) |
| ✓ | accuracy | 97.3% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))) |
| ✓ | accuracy | 6.0% | #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))) |
| ✓ | accuracy | 99.5% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) |
| ✓ | accuracy | 99.1% | (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) #s(literal 1/12 binary64)) |
| ✓ | accuracy | 97.3% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) |
| 375.0ms | 238× | 1 | valid |
| 56.0ms | 7× | 2 | valid |
| 6.0ms | 11× | 0 | valid |
Compiled 575 to 82 computations (85.7% saved)
ival-mult: 179.0ms (48.7% of total)adjust: 70.0ms (19% of total)ival-log: 25.0ms (6.8% of total)ival-div: 21.0ms (5.7% of total)ival-exp: 18.0ms (4.9% of total)ival-add: 18.0ms (4.9% of total)const: 10.0ms (2.7% of total)ival-sqrt: 9.0ms (2.4% of total)ival-neg: 8.0ms (2.2% of total)ival-sub: 6.0ms (1.6% of total)ival-pi: 2.0ms (0.5% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))) (patch #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))) (patch #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))) (patch (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)) (patch (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))) (patch #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))) (patch #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)) (patch (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)) #<representation binary64>) () ()) |
#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))) (patch #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))) (patch #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))) (patch (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))) (patch (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))) (patch (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))) (patch #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -4 binary64) (PI.f64)) (patch (/.f64 #s(literal -4 binary64) (PI.f64)) #<representation binary64>) () ()) |
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) (patch #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (PI.f64) #s(literal 1/12 binary64)) (patch (*.f64 (PI.f64) #s(literal 1/12 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 f #s(literal -1/12 binary64)) (patch (*.f64 f #s(literal -1/12 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/12 binary64) f) (patch (*.f64 #s(literal -1/12 binary64) f) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) (taylor 0 f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) (taylor 0 f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) (taylor 0 f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor inf f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) (taylor inf f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) (taylor inf f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) (taylor inf f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor -inf f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI)))))) (taylor -inf f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI)))))) (taylor -inf f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI)))))) (taylor -inf f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ()) |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | f | @ | 0 | (* (* (PI) f) -1) |
| 1.0ms | f | @ | 0 | (/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI)) |
| 1.0ms | f | @ | inf | (/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI)) |
| 0.0ms | f | @ | 0 | (* (* (PI) 1/12) (* (* (PI) f) -1)) |
| 0.0ms | f | @ | -inf | (/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI)) |
| 1× | egg-herbie |
| 16 732× | lower-fma.f64 |
| 16 732× | lower-fma.f32 |
| 4 194× | lower-*.f64 |
| 4 194× | lower-*.f32 |
| 2 032× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 4434 |
| 1 | 475 | 4161 |
| 2 | 1791 | 3941 |
| 3 | 6446 | 3789 |
| 0 | 8863 | 3715 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) |
(+ (* -1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) |
(+ (* -1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) |
(+ (* -1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) |
(* -1/12 (* (pow f 2) (PI))) |
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) |
(* -1/12 (* (pow f 2) (PI))) |
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI)))))) |
(* -1 (* f (PI))) |
(* -1 (* f (PI))) |
(* -1 (* f (PI))) |
(* -1 (* f (PI))) |
(* -1 (* f (PI))) |
(* -1 (* f (PI))) |
(* -1 (* f (PI))) |
(* -1 (* f (PI))) |
(* -1 (* f (PI))) |
(* -1 (* f (PI))) |
(* -1 (* f (PI))) |
(* -1 (* f (PI))) |
(* 4 (+ (log f) (log (* 1/4 (PI))))) |
(- (* -1/12 (* (pow f 2) (pow (PI) 2))) (* -4 (+ (log f) (log (* 1/4 (PI)))))) |
(- (* -1/12 (* (pow f 2) (pow (PI) 2))) (* -4 (+ (log f) (log (* 1/4 (PI)))))) |
(- (* -1/12 (* (pow f 2) (pow (PI) 2))) (* -4 (+ (log f) (log (* 1/4 (PI)))))) |
(* -1/12 (* (pow f 2) (pow (PI) 2))) |
(* (pow f 2) (+ (* -1/12 (pow (PI) 2)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (pow f 2))))) |
(* (pow f 2) (+ (* -1/12 (pow (PI) 2)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (pow f 2))))) |
(* (pow f 2) (+ (* -1/12 (pow (PI) 2)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (pow f 2))))) |
(* -1/12 (* (pow f 2) (pow (PI) 2))) |
(* (pow f 2) (+ (* -1/12 (pow (PI) 2)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (pow f 2))))) |
(* (pow f 2) (+ (* -1/12 (pow (PI) 2)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (pow f 2))))) |
(* (pow f 2) (+ (* -1/12 (pow (PI) 2)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (pow f 2))))) |
(* -1/12 (* f (pow (PI) 2))) |
(* -1/12 (* f (pow (PI) 2))) |
(* -1/12 (* f (pow (PI) 2))) |
(* -1/12 (* f (pow (PI) 2))) |
(* -1/12 (* f (pow (PI) 2))) |
(* -1/12 (* f (pow (PI) 2))) |
(* -1/12 (* f (pow (PI) 2))) |
(* -1/12 (* f (pow (PI) 2))) |
(* -1/12 (* f (pow (PI) 2))) |
(* -1/12 (* f (pow (PI) 2))) |
(* -1/12 (* f (pow (PI) 2))) |
(* -1/12 (* f (pow (PI) 2))) |
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) |
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) |
(+ (* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) |
(+ (* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) |
(+ (* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) |
(* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) |
(* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) |
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) |
(+ (* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) |
(+ (* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) |
(+ (* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) |
(* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) |
(* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
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(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* f (PI)) |
(* f (PI)) |
(* f (PI)) |
(* f (PI)) |
(* f (PI)) |
(* f (PI)) |
(* f (PI)) |
(* f (PI)) |
(* f (PI)) |
(* f (PI)) |
(* f (PI)) |
(* f (PI)) |
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) |
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(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
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(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) |
(+ (* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) |
(+ (* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) |
(+ (* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) |
(* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) |
(* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* -1/12 (* f (PI))) |
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) |
(+ (* -1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) |
(+ (* -1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) |
(+ (* -1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) |
(* -1/12 (* (pow f 2) (PI))) |
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) |
(* -1/12 (* (pow f 2) (PI))) |
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI)))))) |
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI)))))) |
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) |
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) |
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* -1/12 f) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* 1/4 (* f (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
(* -1/12 (* (pow f 2) (PI))) |
| Outputs |
|---|
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) |
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) |
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(*.f64 f #s(literal -1/12 binary64)) |
(* -1/12 f) |
(*.f64 f #s(literal -1/12 binary64)) |
(* -1/12 f) |
(*.f64 f #s(literal -1/12 binary64)) |
(* -1/12 f) |
(*.f64 f #s(literal -1/12 binary64)) |
(* -1/12 f) |
(*.f64 f #s(literal -1/12 binary64)) |
(* -1/12 f) |
(*.f64 f #s(literal -1/12 binary64)) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* 1/4 (* f (PI))) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(* -1/12 (* (pow f 2) (PI))) |
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))) |
(* -1/12 (* (pow f 2) (PI))) |
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))) |
(* -1/12 (* (pow f 2) (PI))) |
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))) |
(* -1/12 (* (pow f 2) (PI))) |
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))) |
(* -1/12 (* (pow f 2) (PI))) |
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))) |
(* -1/12 (* (pow f 2) (PI))) |
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))) |
(* -1/12 (* (pow f 2) (PI))) |
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))) |
(* -1/12 (* (pow f 2) (PI))) |
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))) |
(* -1/12 (* (pow f 2) (PI))) |
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))) |
(* -1/12 (* (pow f 2) (PI))) |
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))) |
(* -1/12 (* (pow f 2) (PI))) |
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))) |
(* -1/12 (* (pow f 2) (PI))) |
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))) |
| 1× | batch-egg-rewrite |
| 4 544× | lower-*.f32 |
| 4 504× | lower-*.f64 |
| 3 556× | lower-fma.f32 |
| 3 554× | lower-fma.f64 |
| 2 764× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 690 |
| 0 | 131 | 578 |
| 1 | 438 | 417 |
| 2 | 3299 | 417 |
| 0 | 8180 | 408 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) |
(*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) |
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))) |
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))) |
(*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))) |
(*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))) |
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))) |
(*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)) |
(*.f64 (PI.f64) f) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))) |
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))) |
(*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))) |
(*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))) |
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))) |
(/.f64 #s(literal -4 binary64) (PI.f64)) |
(PI.f64) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) |
(*.f64 (PI.f64) #s(literal 1/12 binary64)) |
(*.f64 f #s(literal -1/12 binary64)) |
(*.f64 #s(literal -1/12 binary64) f) |
(sqrt.f64 (PI.f64)) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) |
(*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64))) |
(+.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (fma.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)) (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64)) (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) (PI.f64))) (/.f64 (*.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64))) (/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64)) (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) (PI.f64)))) |
(fma.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (/.f64 (*.f64 (*.f64 f (PI.f64)) (neg.f64 f)) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (*.f64 f (/.f64 (neg.f64 (*.f64 f (PI.f64))) (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 f (/.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (*.f64 f (PI.f64)) (*.f64 #s(literal 1/12 binary64) (/.f64 (neg.f64 (*.f64 f (PI.f64))) (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64))) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64))) |
(fma.f64 (neg.f64 (*.f64 f (PI.f64))) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) (/.f64 f (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64))) |
(fma.f64 (neg.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64))) |
(fma.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))) f) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) (/.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) f) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) (PI.f64)) f (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64))) |
(fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) (/.f64 (neg.f64 (*.f64 f (PI.f64))) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) (PI.f64)) (neg.f64 (*.f64 f (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
(fma.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64))) |
(fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64)))) (*.f64 (*.f64 f #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) |
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(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(log.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) |
(+.f64 (log.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 f #s(literal 2 binary64))))) (log.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 f #s(literal 2 binary64)))))) |
(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))) |
(/.f64 (*.f64 f (PI.f64)) #s(literal 4 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) |
(/.f64 (neg.f64 (*.f64 f (PI.f64))) #s(literal -4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) |
(/.f64 (neg.f64 f) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(/.f64 (*.f64 f #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(/.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal -4 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 4 binary64) (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 f (PI.f64)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 f #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(/.f64 (neg.f64 (*.f64 f (neg.f64 (PI.f64)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) f)) (/.f64 #s(literal -4 binary64) (PI.f64))) |
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))) #s(literal -1 binary64)) |
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) |
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))) |
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) |
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))) |
(*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64))) |
(*.f64 (PI.f64) (log.f64 (exp.f64 (*.f64 f #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (exp.f64 f))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) |
(*.f64 (*.f64 f (PI.f64)) (*.f64 f #s(literal -1/12 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) |
(*.f64 (PI.f64) (*.f64 f (*.f64 f #s(literal -1/12 binary64)))) |
(*.f64 #s(literal -1/12 binary64) (*.f64 f (*.f64 f (PI.f64)))) |
(*.f64 (*.f64 f #s(literal -1/12 binary64)) (*.f64 f (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f (*.f64 f #s(literal -1/12 binary64))))) |
(*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal -1/12 binary64))) |
(*.f64 (*.f64 f (*.f64 f (PI.f64))) #s(literal -1/12 binary64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f (*.f64 f #s(literal -1/12 binary64))))) |
(*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (PI.f64)) |
(*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))) f) |
(*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f)) |
(*.f64 (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 f f) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
Compiled 37 043 to 4 112 computations (88.9% saved)
25 alts after pruning (21 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 464 | 9 | 1 473 |
| Fresh | 2 | 12 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 468 | 25 | 1 493 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
| 95.8% | (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) | |
| 96.4% | (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) | |
| 96.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) | |
| 94.9% | (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) | |
| 96.2% | (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64)))) | |
| 96.3% | (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ -1 (* f (* (PI) -1/4))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))) | |
| 96.7% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) | |
| 96.7% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))) | |
| 96.8% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) f (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64))) (PI.f64))) | |
| 96.7% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (-.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) (PI.f64)))) | |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(approx (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (*.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) (PI.f64))) | |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) | |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) f) (*.f64 #s(literal -1/12 binary64) f)))) | |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) | |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal -1/12 binary64) f)))) | |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f f) #s(literal -1/12 binary64)) (PI.f64)))) | |
| ✓ | 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))) |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f)))) | |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 binary64)))) | |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (PI.f64)))) | |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f))) | |
| ✓ | 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))) |
| ✓ | 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))) |
| 4.1% | #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 binary64)))))) |
Compiled 1 249 to 456 computations (63.5% saved)
| Inputs |
|---|
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (PI.f64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 binary64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f)))) |
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#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) f) (*.f64 #s(literal -1/12 binary64) f)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) f (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64))) (PI.f64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (-.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal -2 binary64))) f) (PI.f64) (*.f64 (PI.f64) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (PI.f64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64))) |
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f #s(approx (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))) |
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64)))))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))) |
| Outputs |
|---|
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
6 calls:
| 60.0ms | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| 58.0ms | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
| 19.0ms | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| 17.0ms | f |
| 11.0ms | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | f |
| 99.5% | 1 | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| 99.5% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| 99.5% | 1 | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| 99.5% | 1 | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| 99.5% | 1 | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
Compiled 144 to 60 computations (58.3% saved)
| Inputs |
|---|
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (PI.f64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 binary64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f f) #s(literal -1/12 binary64)) (PI.f64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2))) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(approx (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (*.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) (PI.f64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 binary64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal -1/12 binary64) f)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) f) (*.f64 #s(literal -1/12 binary64) f)))) |
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ -1 (* f (* (PI) -1/4))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) f (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64))) (PI.f64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (-.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal -2 binary64))) f) (PI.f64) (*.f64 (PI.f64) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (PI.f64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64))) |
| Outputs |
|---|
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) f (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64))) (PI.f64))) |
6 calls:
| 13.0ms | f |
| 11.0ms | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| 11.0ms | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| 10.0ms | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
| 8.0ms | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 1 | f |
| 96.8% | 1 | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| 96.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| 96.8% | 1 | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| 96.8% | 1 | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| 96.8% | 1 | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
Compiled 144 to 60 computations (58.3% saved)
| Inputs |
|---|
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (PI.f64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 binary64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f f) #s(literal -1/12 binary64)) (PI.f64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2))) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(approx (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (*.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) (PI.f64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 binary64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal -1/12 binary64) f)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) f) (*.f64 #s(literal -1/12 binary64) f)))) |
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ -1 (* f (* (PI) -1/4))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))) |
| Outputs |
|---|
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))) |
6 calls:
| 8.0ms | f |
| 7.0ms | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
| 7.0ms | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| 6.0ms | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| 6.0ms | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 1 | f |
| 96.7% | 1 | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
| 96.7% | 1 | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| 96.7% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| 96.7% | 1 | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| 96.7% | 1 | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
Compiled 144 to 60 computations (58.3% saved)
| Inputs |
|---|
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (PI.f64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 binary64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f f) #s(literal -1/12 binary64)) (PI.f64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2))) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(approx (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (*.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) (PI.f64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 binary64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal -1/12 binary64) f)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) f) (*.f64 #s(literal -1/12 binary64) f)))) |
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ -1 (* f (* (PI) -1/4))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) |
| Outputs |
|---|
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
6 calls:
| 7.0ms | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| 6.0ms | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
| 6.0ms | f |
| 6.0ms | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| 5.0ms | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | f |
| 96.4% | 1 | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| 96.4% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| 96.4% | 1 | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| 96.4% | 1 | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| 96.4% | 1 | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
Compiled 144 to 60 computations (58.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (PI.f64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 binary64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f f) #s(literal -1/12 binary64)) (PI.f64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2))) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(approx (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (*.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) (PI.f64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 binary64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal -1/12 binary64) f)))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) f) (*.f64 #s(literal -1/12 binary64) f)))) |
| Outputs |
|---|
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) |
6 calls:
| 5.0ms | f |
| 5.0ms | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
| 5.0ms | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| 4.0ms | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| 4.0ms | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.1% | 1 | f |
| 4.1% | 1 | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) |
| 4.1% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) |
| 4.1% | 1 | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) |
| 4.1% | 1 | (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) |
| 4.1% | 1 | (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) |
Compiled 144 to 60 computations (58.3% saved)
| 1× | egg-herbie |
| 18× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 236 |
| 1 | 93 | 236 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) f (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64))) (PI.f64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))) |
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) |
| Outputs |
|---|
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) f (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64))) (PI.f64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) f (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))) |
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) |
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) |
| 18 550× | lower-fma.f64 |
| 18 550× | lower-fma.f32 |
| 11 406× | lower-fma.f64 |
| 11 406× | lower-fma.f32 |
| 5 070× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 420 | 7268 |
| 1 | 1405 | 6329 |
| 2 | 6425 | 5548 |
| 0 | 8874 | 5361 |
| 0 | 330 | 5518 |
| 1 | 1027 | 4969 |
| 2 | 4193 | 4595 |
| 0 | 8435 | 4508 |
| 0 | 57 | 338 |
| 0 | 95 | 254 |
| 1 | 355 | 229 |
| 2 | 2529 | 229 |
| 0 | 8608 | 229 |
| 0 | 16 | 129 |
| 0 | 29 | 87 |
| 1 | 119 | 49 |
| 2 | 783 | 49 |
| 0 | 8561 | 49 |
| 0 | 93 | 559 |
| 0 | 142 | 386 |
| 1 | 474 | 319 |
| 2 | 3582 | 315 |
| 0 | 9187 | 315 |
| 0 | 91 | 690 |
| 0 | 131 | 578 |
| 1 | 438 | 417 |
| 2 | 3299 | 417 |
| 0 | 8180 | 408 |
| 0 | 171 | 1490 |
| 1 | 484 | 1364 |
| 2 | 1748 | 1236 |
| 3 | 7034 | 1196 |
| 0 | 9162 | 1178 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 160 to 66 computations (58.8% saved)
Compiled 218 to 80 computations (63.3% saved)
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