
Time bar (total: 9.6s)
| 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 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 62.5% | 62.5% | 37.5% | 0% | 0% | 0% | 0% | 5 |
| 68.8% | 68.7% | 31.2% | 0% | 0% | 0% | 0% | 6 |
| 71.9% | 71.8% | 28.1% | 0% | 0% | 0% | 0% | 7 |
| 73.4% | 73.4% | 26.5% | 0% | 0% | 0% | 0% | 8 |
| 74.2% | 74.2% | 25.8% | 0% | 0% | 0% | 0% | 9 |
| 74.6% | 74.6% | 25.4% | 0% | 0% | 0% | 0% | 10 |
| 74.8% | 74.8% | 25.2% | 0% | 0% | 0% | 0% | 11 |
| 74.9% | 74.9% | 25.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 1.2s | 4 505× | 1 | valid |
| 919.0ms | 1 638× | 2 | valid |
| 233.0ms | 2 113× | 0 | valid |
ival-log: 1.3s (63.5% of total)ival-hypot: 456.0ms (22.3% of total)ival-add: 199.0ms (9.7% of total)adjust: 74.0ms (3.6% of total)exact: 10.0ms (0.5% of total)ival-true: 7.0ms (0.3% of total)ival-assert: 3.0ms (0.1% of total)| 2× | egg-herbie |
| 36× | sub-neg |
| 34× | distribute-rgt-in |
| 30× | distribute-lft-neg-in |
| 30× | associate--r+ |
| 30× | associate-+l- |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 30 |
| 1 | 30 | 28 |
| 2 | 55 | 28 |
| 3 | 95 | 28 |
| 4 | 149 | 28 |
| 5 | 206 | 28 |
| 6 | 249 | 28 |
| 7 | 264 | 28 |
| 0 | 7 | 9 |
| 1 | 11 | 9 |
| 0 | 11 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(log (+ x (sqrt (+ (* x x) 1)))) |
| Outputs |
|---|
(log (+ x (sqrt (+ (* x x) 1)))) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| Inputs |
|---|
(log (+ x (sqrt (+ (* x x) 1)))) |
(log (+ (neg x) (sqrt (+ (* (neg x) (neg x)) 1)))) |
(neg (log (+ (neg x) (sqrt (+ (* (neg x) (neg x)) 1))))) |
| Outputs |
|---|
(log (+ x (sqrt (+ (* x x) 1)))) |
(log (+ x (sqrt (+ 1 (* x x))))) |
(log (+ (neg x) (sqrt (+ (* (neg x) (neg x)) 1)))) |
(log (- (sqrt (+ 1 (* x x))) x)) |
(neg (log (+ (neg x) (sqrt (+ (* (neg x) (neg x)) 1))))) |
(neg (log (- (sqrt (+ 1 (* x x))) x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 122 | 0 | - | 0 | - | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 69 | 1 | (-9.086793081033163) | 0 | - | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 62 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | sensitivity | 122 | 0 |
+.f64 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) | cancellation | 70 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | oflow-rescue | 62 | 0 |
| ↳ | (*.f64 x x) | overflow | 62 | |
| ↳ | (+.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 62 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 222 | 0 |
| - | 1 | 33 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 222 | 0 | 0 |
| - | 1 | 0 | 33 |
| number | freq |
|---|---|
| 0 | 33 |
| 1 | 192 |
| 2 | 31 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 53.0ms | 286× | 1 | valid |
| 42.0ms | 90× | 2 | valid |
| 10.0ms | 136× | 0 | valid |
Compiled 90 to 32 computations (64.4% saved)
ival-log: 40.0ms (48.9% of total)ival-hypot: 21.0ms (25.7% of total)ival-add: 9.0ms (11% of total)adjust: 6.0ms (7.3% of total)ival-mult: 5.0ms (6.1% of total)exact: 1.0ms (1.2% 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 |
|---|---|---|
| ▶ | 18.2% | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 8× | +-lowering-+.f64 |
| 8× | +-lowering-+.f32 |
| 4× | +-commutative |
| 2× | sqrt-lowering-sqrt.f64 |
| 2× | log-lowering-log.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 33 |
| 1 | 11 | 33 |
| 0 | 11 | 29 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log (+ x (sqrt (+ (* x x) 1)))) |
(+ x (sqrt (+ (* x x) 1))) |
x |
(sqrt (+ (* x x) 1)) |
(+ (* x x) 1) |
(* x x) |
1 |
| Outputs |
|---|
(log (+ x (sqrt (+ (* x x) 1)))) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+ x (sqrt (+ (* x x) 1))) |
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
x |
(sqrt (+ (* x x) 1)) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(+ (* x x) 1) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(* x x) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 77.5% | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| ✓ | accuracy | 74.6% | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| ✓ | accuracy | 56.2% | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 27.0ms | 143× | 1 | valid |
| 23.0ms | 45× | 2 | valid |
| 5.0ms | 68× | 0 | valid |
Compiled 35 to 9 computations (74.3% saved)
ival-log: 22.0ms (50.6% of total)ival-hypot: 10.0ms (23% of total)ival-add: 5.0ms (11.5% of total)adjust: 3.0ms (6.9% of total)ival-mult: 2.0ms (4.6% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log (+ x (sqrt (+ (* x x) 1))))> |
#<alt (+ x (sqrt (+ (* x x) 1)))> |
#<alt (sqrt (+ (* x x) 1))> |
#<alt (+ (* x x) 1)> |
#<alt (* x x)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))> |
#<alt (+ (log 1/2) (log (/ -1 x)))> |
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt (/ -1/2 x)> |
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))> |
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))> |
#<alt 1> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+ x (sqrt (+ (* x x) 1))) |
| 1.0ms | x | @ | 0 | (log (+ x (sqrt (+ (* x x) 1)))) |
| 1.0ms | x | @ | -inf | (log (+ x (sqrt (+ (* x x) 1)))) |
| 1.0ms | x | @ | inf | (log (+ x (sqrt (+ (* x x) 1)))) |
| 0.0ms | x | @ | inf | (+ (* x x) 1) |
| 1× | batch-egg-rewrite |
| 6 062× | accelerator-lowering-fma.f32 |
| 6 062× | accelerator-lowering-fma.f64 |
| 3 598× | *-lowering-*.f32 |
| 3 598× | *-lowering-*.f64 |
| 2 994× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 31 |
| 1 | 39 | 31 |
| 2 | 292 | 31 |
| 3 | 3147 | 31 |
| 0 | 8731 | 27 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ x (sqrt (+ (* x x) 1)))) |
(+ x (sqrt (+ (* x x) 1))) |
(sqrt (+ (* x x) 1)) |
(+ (* x x) 1) |
(* x x) |
| Outputs |
|---|
(log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 (log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (log.f64 (*.f64 (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) |
(+.f64 (log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (log.f64 (/.f64 (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) |
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
(+.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))) |
(+.f64 (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (*.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))) |
(+.f64 (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (/.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))) |
(+.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))) |
(+.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) |
(+.f64 (log1p.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (log.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
(+.f64 (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) #s(literal 3 binary64))))) (log.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x)))))) |
(+.f64 (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (log.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))) |
(+.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (+.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
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(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))) |
(*.f64 (exp.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 1× | egg-herbie |
| 11 038× | accelerator-lowering-fma.f32 |
| 11 038× | accelerator-lowering-fma.f64 |
| 4 124× | +-lowering-+.f64 |
| 4 124× | +-lowering-+.f32 |
| 2 226× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 525 |
| 1 | 353 | 517 |
| 2 | 931 | 509 |
| 3 | 2911 | 479 |
| 4 | 7055 | 479 |
| 0 | 8123 | 448 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal 1/16 binary64)))))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (pow x 2)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (pow x 2)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Compiled 12 723 to 1 668 computations (86.9% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 413 | 10 | 423 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 413 | 11 | 424 |
| Status | Accuracy | Program |
|---|---|---|
| 27.6% | (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) | |
| 49.5% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) | |
| ▶ | 48.1% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
| 5.3% | (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) | |
| ▶ | 27.4% | (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)) |
| 27.9% | (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) | |
| 27.6% | (log.f64 (/.f64 #s(literal -1/2 binary64) x)) | |
| ▶ | 26.1% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 18.2% | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| ▶ | 25.4% | (log.f64 (+.f64 x x)) |
| ▶ | 50.2% | x |
Compiled 226 to 149 computations (34.1% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | cost-diff | 0 | (+.f64 x x) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
| 84× | *-lowering-*.f32 |
| 84× | *-lowering-*.f64 |
| 52× | accelerator-lowering-fma.f32 |
| 52× | accelerator-lowering-fma.f64 |
| 48× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 146 |
| 1 | 56 | 132 |
| 2 | 86 | 132 |
| 3 | 139 | 132 |
| 4 | 139 | 132 |
| 0 | 139 | 128 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
x |
(* x (+ 1 (* x (* x -1/6)))) |
x |
(+ 1 (* x (* x -1/6))) |
1 |
(* x (* x -1/6)) |
(* x -1/6) |
-1/6 |
(log (+ x x)) |
(+ x x) |
x |
(log (+ (* x 2) (/ 1/2 x))) |
(+ (* x 2) (/ 1/2 x)) |
(* x 2) |
x |
2 |
(/ 1/2 x) |
1/2 |
(log (/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x)) |
(/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x) |
(+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) |
(/ 1/8 (* x x)) |
1/8 |
(* x x) |
x |
(+ -1/2 (/ -1/16 (* x (* x (* x x))))) |
-1/2 |
(/ -1/16 (* x (* x (* x x)))) |
-1/16 |
(* x (* x (* x x))) |
(* x (* x x)) |
| Outputs |
|---|
x |
(* x (+ 1 (* x (* x -1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
x |
(+ 1 (* x (* x -1/6))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
1 |
#s(literal 1 binary64) |
(* x (* x -1/6)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* x -1/6) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(log (+ x x)) |
(log.f64 (*.f64 x #s(literal 2 binary64))) |
(+ x x) |
(*.f64 x #s(literal 2 binary64)) |
x |
(log (+ (* x 2) (/ 1/2 x))) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(+ (* x 2) (/ 1/2 x)) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
(log (/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x)) |
(log.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)) |
(/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x) |
(+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) |
(+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ 1/8 (* x x)) |
(/.f64 (/.f64 #s(literal 1/8 binary64) x) x) |
1/8 |
#s(literal 1/8 binary64) |
(* x x) |
(*.f64 x x) |
x |
(+ -1/2 (/ -1/16 (* x (* x (* x x))))) |
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
-1/2 |
#s(literal -1/2 binary64) |
(/ -1/16 (* x (* x (* x x)))) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
-1/16 |
#s(literal -1/16 binary64) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | accuracy | 100.0% | (+.f64 x x) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 x x)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/6 binary64)) |
| 50.0ms | 256× | 0 | invalid |
Compiled 162 to 29 computations (82.1% saved)
ival-mult: 11.0ms (31.5% of total)ival-div: 7.0ms (20.1% of total)ival-log: 6.0ms (17.2% of total)ival-add: 5.0ms (14.3% of total)const: 5.0ms (14.3% of total)exact: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (+ 1 (* x (* x -1/6))))> |
#<alt (+ 1 (* x (* x -1/6)))> |
#<alt (* x (* x -1/6))> |
#<alt (* x -1/6)> |
#<alt (log (+ x x))> |
#<alt (+ x x)> |
#<alt (log (+ (* x 2) (/ 1/2 x)))> |
#<alt (+ (* x 2) (/ 1/2 x))> |
#<alt (* x 2)> |
#<alt (/ 1/2 x)> |
#<alt (log (/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x))> |
#<alt (/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x)> |
#<alt (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x))))))> |
#<alt (/ 1/8 (* x x))> |
#<alt (* x x)> |
#<alt (* x (* x x))> |
#<alt (* x (* x (* x x)))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (+ (log 1/2) (* -1 (log x)))> |
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))> |
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))> |
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)> |
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)> |
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (+ (log -1/16) (* -5 (log x)))> |
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* -2 (pow x 2))))> |
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* 6 (pow x 2)) 2))))> |
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 2))))> |
#<alt (+ (log -1/2) (log (/ 1 x)))> |
#<alt (- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 1/2) (log (/ -1 x)))> |
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (/ -1/16 (pow x 5))> |
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))> |
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))> |
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)> |
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)> |
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)> |
#<alt (/ -1/2 x)> |
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (/ -1/16 (pow x 4))> |
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))> |
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))> |
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))> |
#<alt -1/2> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))> |
#<alt -1/2> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | x | @ | 0 | (log (+ x x)) |
| 20.0ms | x | @ | -inf | (log (+ x x)) |
| 6.0ms | x | @ | inf | (log (+ x x)) |
| 1.0ms | x | @ | 0 | (log (/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x)) |
| 1.0ms | x | @ | inf | (log (/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x)) |
| 1× | batch-egg-rewrite |
| 806× | *-lowering-*.f32 |
| 806× | *-lowering-*.f64 |
| 722× | accelerator-lowering-fma.f32 |
| 722× | accelerator-lowering-fma.f64 |
| 702× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 110 |
| 1 | 143 | 100 |
| 0 | 1639 | 95 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* x (* x -1/6)))) |
(+ 1 (* x (* x -1/6))) |
(* x (* x -1/6)) |
(* x -1/6) |
(log (+ x x)) |
(+ x x) |
(log (+ (* x 2) (/ 1/2 x))) |
(+ (* x 2) (/ 1/2 x)) |
(* x 2) |
(/ 1/2 x) |
(log (/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x)) |
(/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x) |
(+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) |
(/ 1/8 (* x x)) |
(* x x) |
(* x (* x x)) |
(* x (* x (* x x))) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) (-.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/6 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) |
(*.f64 x #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) x) |
(log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(-.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (log.f64 (+.f64 (*.f64 x x) #s(literal 0 binary64)))) |
(-.f64 (log.f64 #s(literal 0 binary64)) (log.f64 #s(literal 0 binary64))) |
(-.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(+.f64 x x) |
(+.f64 x (+.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(+.f64 x (-.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x)) |
(+.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(+.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(fma.f64 x #s(literal 1 binary64) x) |
(fma.f64 x #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 x #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 x #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 x #s(literal 2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) x x) |
(fma.f64 #s(literal 1 binary64) x (+.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1 binary64) x (-.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 #s(literal 2 binary64) x (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x)) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
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(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/8 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))) |
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/8 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) x) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/8 binary64) x))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)) |
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) (/.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) (neg.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x))) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) (/.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(neg.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/8 binary64) x))) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/8 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1/8 binary64) x) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x)) |
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) |
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
| 1× | egg-herbie |
| 10 406× | accelerator-lowering-fma.f32 |
| 10 406× | accelerator-lowering-fma.f64 |
| 3 304× | +-lowering-+.f64 |
| 3 304× | +-lowering-+.f32 |
| 3 156× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 1330 |
| 1 | 413 | 1290 |
| 2 | 1046 | 1290 |
| 3 | 3073 | 1278 |
| 0 | 8375 | 1217 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(+ (log 2) (log x)) |
(+ (log 2) (log x)) |
(+ (log 2) (log x)) |
(+ (log 2) (log x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(+ (log 1/2) (* -1 (log x))) |
(+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2)))) |
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2)))))) |
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8)))))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 2 (pow x 2))) x) |
(/ (+ 1/2 (* 2 (pow x 2))) x) |
(/ (+ 1/2 (* 2 (pow x 2))) x) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(+ (log -1/16) (* -5 (log x))) |
(+ (log -1/16) (+ (* -5 (log x)) (* -2 (pow x 2)))) |
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* 6 (pow x 2)) 2)))) |
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 2)))) |
(+ (log -1/2) (log (/ 1 x))) |
(- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log -1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log -1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2)))) |
(/ -1/16 (pow x 5)) |
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5)) |
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5)) |
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5)) |
(/ -1/2 x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(/ -1/16 (pow x 4)) |
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4)) |
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4)) |
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4)) |
-1/2 |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) |
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) |
-1/2 |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) |
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
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(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
Compiled 18 807 to 2 005 computations (89.3% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 151 | 3 | 1 154 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 153 | 12 | 1 165 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.1% | (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
| ▶ | 49.5% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) |
| ▶ | 27.5% | (neg.f64 (log.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)))))) |
| 27.2% | (log.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)) | |
| 5.3% | (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) | |
| ✓ | 27.4% | (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)) |
| ▶ | 27.9% | (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
| ▶ | 27.6% | (log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | 26.1% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 18.2% | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| ✓ | 25.4% | (log.f64 (+.f64 x x)) |
| ✓ | 50.2% | x |
Compiled 327 to 179 computations (45.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) x) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) |
| 320× | accelerator-lowering-fma.f32 |
| 320× | accelerator-lowering-fma.f64 |
| 248× | *-lowering-*.f32 |
| 248× | *-lowering-*.f64 |
| 132× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 239 |
| 1 | 75 | 225 |
| 2 | 140 | 225 |
| 3 | 286 | 225 |
| 4 | 413 | 225 |
| 5 | 449 | 225 |
| 6 | 454 | 225 |
| 0 | 454 | 217 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (+ 1 (* x (* x (+ -1/6 (* x (* x 3/40))))))) |
x |
(+ 1 (* x (* x (+ -1/6 (* x (* x 3/40)))))) |
1 |
(* x (* x (+ -1/6 (* x (* x 3/40))))) |
(* x (+ -1/6 (* x (* x 3/40)))) |
(+ -1/6 (* x (* x 3/40))) |
-1/6 |
(* x (* x 3/40)) |
(* x 3/40) |
3/40 |
(+ (* (* x (* x x)) -1/6) x) |
(* (* x (* x x)) -1/6) |
(* x (* x x)) |
x |
(* x x) |
-1/6 |
(log (/ -1/2 x)) |
(/ -1/2 x) |
-1/2 |
x |
(log (/ (+ -1/2 (/ 1/8 (* x x))) x)) |
(/ (+ -1/2 (/ 1/8 (* x x))) x) |
(+ -1/2 (/ 1/8 (* x x))) |
-1/2 |
(/ 1/8 (* x x)) |
1/8 |
(* x x) |
x |
(neg (log (/ x (+ (/ -1/16 (* x (* x (* x x)))) (+ (/ (/ 1/8 x) x) -1/2))))) |
(log (/ x (+ (/ -1/16 (* x (* x (* x x)))) (+ (/ (/ 1/8 x) x) -1/2)))) |
(/ x (+ (/ -1/16 (* x (* x (* x x)))) (+ (/ (/ 1/8 x) x) -1/2))) |
x |
(+ (/ -1/16 (* x (* x (* x x)))) (+ (/ (/ 1/8 x) x) -1/2)) |
(/ -1/16 (* x (* x (* x x)))) |
-1/16 |
(* x (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(+ (/ (/ 1/8 x) x) -1/2) |
(/ (/ 1/8 x) x) |
(/ 1/8 x) |
1/8 |
-1/2 |
| Outputs |
|---|
(* x (+ 1 (* x (* x (+ -1/6 (* x (* x 3/40))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) |
x |
(+ 1 (* x (* x (+ -1/6 (* x (* x 3/40)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))) |
1 |
#s(literal 1 binary64) |
(* x (* x (+ -1/6 (* x (* x 3/40))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))) |
(* x (+ -1/6 (* x (* x 3/40)))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) |
(+ -1/6 (* x (* x 3/40))) |
(+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) |
-1/6 |
#s(literal -1/6 binary64) |
(* x (* x 3/40)) |
(*.f64 x (*.f64 x #s(literal 3/40 binary64))) |
(* x 3/40) |
(*.f64 x #s(literal 3/40 binary64)) |
3/40 |
#s(literal 3/40 binary64) |
(+ (* (* x (* x x)) -1/6) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* (* x (* x x)) -1/6) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
-1/6 |
#s(literal -1/6 binary64) |
(log (/ -1/2 x)) |
(log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
-1/2 |
#s(literal -1/2 binary64) |
x |
(log (/ (+ -1/2 (/ 1/8 (* x x))) x)) |
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(/ (+ -1/2 (/ 1/8 (* x x))) x) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
(+ -1/2 (/ 1/8 (* x x))) |
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
-1/2 |
#s(literal -1/2 binary64) |
(/ 1/8 (* x x)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
1/8 |
#s(literal 1/8 binary64) |
(* x x) |
(*.f64 x x) |
x |
(neg (log (/ x (+ (/ -1/16 (* x (* x (* x x)))) (+ (/ (/ 1/8 x) x) -1/2))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))) |
(log (/ x (+ (/ -1/16 (* x (* x (* x x)))) (+ (/ (/ 1/8 x) x) -1/2)))) |
(log.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))) |
(/ x (+ (/ -1/16 (* x (* x (* x x)))) (+ (/ (/ 1/8 x) x) -1/2))) |
(/.f64 x (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) |
x |
(+ (/ -1/16 (* x (* x (* x x)))) (+ (/ (/ 1/8 x) x) -1/2)) |
(+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(/ -1/16 (* x (* x (* x x)))) |
(/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
-1/16 |
#s(literal -1/16 binary64) |
(* x (* x (* x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(+ (/ (/ 1/8 x) x) -1/2) |
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(/ (/ 1/8 x) x) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 x) |
(/.f64 #s(literal 1/8 binary64) x) |
1/8 |
#s(literal 1/8 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
| ✓ | accuracy | 100.0% | (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x #s(literal 3/40 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 3/40 binary64)) |
| 46.0ms | 186× | 0 | invalid |
| 20.0ms | 70× | 0 | valid |
Compiled 261 to 35 computations (86.6% saved)
ival-mult: 14.0ms (29.6% of total)ival-div: 12.0ms (25.4% of total)ival-add: 7.0ms (14.8% of total)const: 7.0ms (14.8% of total)ival-log: 6.0ms (12.7% of total)exact: 1.0ms (2.1% of total)ival-neg: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (+ 1 (* x (* x (+ -1/6 (* x (* x 3/40)))))))> |
#<alt (+ 1 (* x (* x (+ -1/6 (* x (* x 3/40))))))> |
#<alt (* x (* x (+ -1/6 (* x (* x 3/40)))))> |
#<alt (* x (+ -1/6 (* x (* x 3/40))))> |
#<alt (+ (* (* x (* x x)) -1/6) x)> |
#<alt (* (* x (* x x)) -1/6)> |
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<alt (log (/ -1/2 x))> |
#<alt (/ -1/2 x)> |
#<alt (log (/ (+ -1/2 (/ 1/8 (* x x))) x))> |
#<alt (/ (+ -1/2 (/ 1/8 (* x x))) x)> |
#<alt (+ -1/2 (/ 1/8 (* x x)))> |
#<alt (/ 1/8 (* x x))> |
#<alt (log (/ x (+ (/ -1/16 (* x (* x (* x x)))) (+ (/ (/ 1/8 x) x) -1/2))))> |
#<alt (/ x (+ (/ -1/16 (* x (* x (* x x)))) (+ (/ (/ 1/8 x) x) -1/2)))> |
#<alt (+ (/ -1/16 (* x (* x (* x x)))) (+ (/ (/ 1/8 x) x) -1/2))> |
#<alt (/ -1/16 (* x (* x (* x x))))> |
#<alt (* x 3/40)> |
#<alt (* x (* x 3/40))> |
#<alt (/ (/ 1/8 x) x)> |
#<alt (* x (* x (* x x)))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))> |
#<alt (* 3/40 (pow x 5))> |
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 3/40 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))> |
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))> |
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))> |
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))> |
#<alt (* 3/40 (pow x 3))> |
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 3/40 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (+ (log -1/2) (* -1 (log x)))> |
#<alt (+ (log -1/2) (* -1 (log x)))> |
#<alt (+ (log -1/2) (* -1 (log x)))> |
#<alt (+ (log -1/2) (* -1 (log x)))> |
#<alt (+ (log -1/2) (log (/ 1 x)))> |
#<alt (+ (log -1/2) (log (/ 1 x)))> |
#<alt (+ (log -1/2) (log (/ 1 x)))> |
#<alt (+ (log -1/2) (log (/ 1 x)))> |
#<alt (+ (log 1/2) (log (/ -1 x)))> |
#<alt (+ (log 1/2) (log (/ -1 x)))> |
#<alt (+ (log 1/2) (log (/ -1 x)))> |
#<alt (+ (log 1/2) (log (/ -1 x)))> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (+ (log 1/8) (* -3 (log x)))> |
#<alt (+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))> |
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))> |
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))> |
#<alt (+ (log -1/2) (log (/ 1 x)))> |
#<alt (- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 1/2) (log (/ -1 x)))> |
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))> |
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))> |
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)> |
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)> |
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)> |
#<alt (/ -1/2 x)> |
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))> |
#<alt -1/2> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)> |
#<alt -1/2> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (+ (log -16) (* 5 (log x)))> |
#<alt (+ (log -16) (+ (* 2 (pow x 2)) (* 5 (log x))))> |
#<alt (+ (log -16) (+ (* 5 (log x)) (* (pow x 2) (+ 2 (* -6 (pow x 2))))))> |
#<alt (+ (log -16) (+ (* 5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (- (* -40/3 (pow x 2)) 6))))))> |
#<alt (+ (log -2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))> |
#<alt (+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 5/192 (/ 1 (pow x 2)))) (pow x 4))) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (+ (log 2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))> |
#<alt (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ 3/32 (* 5/192 (/ 1 (pow x 2)))) (pow x 4))) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* -16 (pow x 5))> |
#<alt (* (pow x 5) (- (* -32 (pow x 2)) 16))> |
#<alt (* (pow x 5) (- (* (pow x 2) (- (* 64 (pow x 2)) 32)) 16))> |
#<alt (* (pow x 5) (- (* (pow x 2) (- (* (pow x 2) (+ 64 (* 384 (pow x 2)))) 32)) 16))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* x (- (+ (/ 1/8 (pow x 4)) (* 3/32 (/ 1 (pow x 6)))) (+ 2 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))> |
#<alt (* -1 (* x (+ 2 (+ (* -1 (/ (+ 1/8 (* 3/32 (/ 1 (pow x 2)))) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (/ -1/16 (pow x 4))> |
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))> |
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))> |
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))> |
#<alt -1/2> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))> |
#<alt -1/2> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))> |
#<alt (/ -1/16 (pow x 4))> |
#<alt (/ -1/16 (pow x 4))> |
#<alt (/ -1/16 (pow x 4))> |
#<alt (/ -1/16 (pow x 4))> |
#<alt (/ -1/16 (pow x 4))> |
#<alt (/ -1/16 (pow x 4))> |
#<alt (/ -1/16 (pow x 4))> |
#<alt (/ -1/16 (pow x 4))> |
#<alt (/ -1/16 (pow x 4))> |
#<alt (/ -1/16 (pow x 4))> |
#<alt (/ -1/16 (pow x 4))> |
#<alt (/ -1/16 (pow x 4))> |
#<alt (* 3/40 x)> |
#<alt (* 3/40 x)> |
#<alt (* 3/40 x)> |
#<alt (* 3/40 x)> |
#<alt (* 3/40 x)> |
#<alt (* 3/40 x)> |
#<alt (* 3/40 x)> |
#<alt (* 3/40 x)> |
#<alt (* 3/40 x)> |
#<alt (* 3/40 x)> |
#<alt (* 3/40 x)> |
#<alt (* 3/40 x)> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | -inf | (log (/ -1/2 x)) |
| 12.0ms | x | @ | 0 | (log (/ -1/2 x)) |
| 6.0ms | x | @ | inf | (log (/ -1/2 x)) |
| 3.0ms | x | @ | 0 | (log (/ x (+ (/ -1/16 (* x (* x (* x x)))) (+ (/ (/ 1/8 x) x) -1/2)))) |
| 1.0ms | x | @ | 0 | (log (/ (+ -1/2 (/ 1/8 (* x x))) x)) |
| 1× | batch-egg-rewrite |
| 6 096× | accelerator-lowering-fma.f32 |
| 6 096× | accelerator-lowering-fma.f64 |
| 3 990× | /-lowering-/.f32 |
| 3 990× | /-lowering-/.f64 |
| 3 762× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 179 |
| 1 | 204 | 167 |
| 2 | 2113 | 167 |
| 0 | 8326 | 151 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* x (* x (+ -1/6 (* x (* x 3/40))))))) |
(+ 1 (* x (* x (+ -1/6 (* x (* x 3/40)))))) |
(* x (* x (+ -1/6 (* x (* x 3/40))))) |
(* x (+ -1/6 (* x (* x 3/40)))) |
(+ (* (* x (* x x)) -1/6) x) |
(* (* x (* x x)) -1/6) |
(* x (* x x)) |
(* x x) |
(log (/ -1/2 x)) |
(/ -1/2 x) |
(log (/ (+ -1/2 (/ 1/8 (* x x))) x)) |
(/ (+ -1/2 (/ 1/8 (* x x))) x) |
(+ -1/2 (/ 1/8 (* x x))) |
(/ 1/8 (* x x)) |
(log (/ x (+ (/ -1/16 (* x (* x (* x x)))) (+ (/ (/ 1/8 x) x) -1/2)))) |
(/ x (+ (/ -1/16 (* x (* x (* x x)))) (+ (/ (/ 1/8 x) x) -1/2))) |
(+ (/ -1/16 (* x (* x (* x x)))) (+ (/ (/ 1/8 x) x) -1/2)) |
(/ -1/16 (* x (* x (* x x)))) |
(* x 3/40) |
(* x (* x 3/40)) |
(/ (/ 1/8 x) x) |
(* x (* x (* x x))) |
| Outputs |
|---|
(+.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)))) |
(+.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x))) (*.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)))) (-.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)))) |
(fma.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)))) |
(fma.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) (*.f64 x x) x) |
(fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) x) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x))) (*.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x))) (*.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)) (-.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)) (-.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
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(/.f64 (neg.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (*.f64 x x)) x) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/16 binary64) x))) (neg.f64 (neg.f64 (*.f64 x (*.f64 x x))))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) x)) |
(*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/16 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (/.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/16 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
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(*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) x) (/.f64 #s(literal -1/2 binary64) x)) |
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(*.f64 x #s(literal 3/40 binary64)) |
(*.f64 #s(literal 3/40 binary64) x) |
(*.f64 x (*.f64 x #s(literal 3/40 binary64))) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 3/40 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal 1/8 binary64) x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (/.f64 #s(literal -1/8 binary64) x) x)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) x) x)) |
(neg.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) |
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(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/8 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1/8 binary64) x) x) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
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(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
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(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/8 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 8 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/8 binary64)) |
(*.f64 (pow.f64 (/.f64 x #s(literal -1/8 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
| 1× | egg-herbie |
| 15 008× | accelerator-lowering-fma.f32 |
| 15 008× | accelerator-lowering-fma.f64 |
| 4 692× | *-lowering-*.f32 |
| 4 692× | *-lowering-*.f64 |
| 4 050× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 1974 |
| 1 | 575 | 1919 |
| 2 | 1581 | 1917 |
| 3 | 4602 | 1888 |
| 0 | 8322 | 1810 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))) |
(* 3/40 (pow x 4)) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 4)) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(* 3/40 (pow x 4)) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 4)) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* -1/6 x) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
(* 3/40 (pow x 3)) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(+ (log -1/2) (* -1 (log x))) |
(+ (log -1/2) (* -1 (log x))) |
(+ (log -1/2) (* -1 (log x))) |
(+ (log -1/2) (* -1 (log x))) |
(+ (log -1/2) (log (/ 1 x))) |
(+ (log -1/2) (log (/ 1 x))) |
(+ (log -1/2) (log (/ 1 x))) |
(+ (log -1/2) (log (/ 1 x))) |
(+ (log 1/2) (log (/ -1 x))) |
(+ (log 1/2) (log (/ -1 x))) |
(+ (log 1/2) (log (/ -1 x))) |
(+ (log 1/2) (log (/ -1 x))) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(+ (log 1/8) (* -3 (log x))) |
(+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x)))) |
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4)))) |
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4)))) |
(+ (log -1/2) (log (/ 1 x))) |
(- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(/ 1/8 (pow x 3)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3)) |
(/ -1/2 x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/ 1/8 (pow x 2)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2)) |
-1/2 |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
-1/2 |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(+ (log -16) (* 5 (log x))) |
(+ (log -16) (+ (* 2 (pow x 2)) (* 5 (log x)))) |
(+ (log -16) (+ (* 5 (log x)) (* (pow x 2) (+ 2 (* -6 (pow x 2)))))) |
(+ (log -16) (+ (* 5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (- (* -40/3 (pow x 2)) 6)))))) |
(+ (log -2) (* -1 (log (/ 1 x)))) |
(+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 5/192 (/ 1 (pow x 2)))) (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log 2) (* -1 (log (/ -1 x)))) |
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ 3/32 (* 5/192 (/ 1 (pow x 2)))) (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))) |
(* -16 (pow x 5)) |
(* (pow x 5) (- (* -32 (pow x 2)) 16)) |
(* (pow x 5) (- (* (pow x 2) (- (* 64 (pow x 2)) 32)) 16)) |
(* (pow x 5) (- (* (pow x 2) (- (* (pow x 2) (+ 64 (* 384 (pow x 2)))) 32)) 16)) |
(* -2 x) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(* x (- (+ (/ 1/8 (pow x 4)) (* 3/32 (/ 1 (pow x 6)))) (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(* -2 x) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (+ 2 (+ (* -1 (/ (+ 1/8 (* 3/32 (/ 1 (pow x 2)))) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))) |
(/ -1/16 (pow x 4)) |
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4)) |
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4)) |
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4)) |
-1/2 |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) |
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) |
-1/2 |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) |
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) |
(/ -1/16 (pow x 4)) |
(/ -1/16 (pow x 4)) |
(/ -1/16 (pow x 4)) |
(/ -1/16 (pow x 4)) |
(/ -1/16 (pow x 4)) |
(/ -1/16 (pow x 4)) |
(/ -1/16 (pow x 4)) |
(/ -1/16 (pow x 4)) |
(/ -1/16 (pow x 4)) |
(/ -1/16 (pow x 4)) |
(/ -1/16 (pow x 4)) |
(/ -1/16 (pow x 4)) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
(* 3/40 (pow x 5)) |
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* 3/40 (pow x 5)) |
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) |
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) |
(* 3/40 (pow x 4)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* 3/40 (pow x 4)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
(* 3/40 (pow x 4)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 3/40 (pow x 4)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
(* 3/40 (pow x 3)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
(* 3/40 (pow x 3)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
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(+.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))))) |
(/ -1/16 (pow x 4)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4)) |
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4)) |
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4)) |
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ -1/16 (pow x 4)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/16 (pow x 4)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/16 (pow x 4)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/16 (pow x 4)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/16 (pow x 4)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/16 (pow x 4)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/16 (pow x 4)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/16 (pow x 4)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/16 (pow x 4)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/16 (pow x 4)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/16 (pow x 4)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/16 (pow x 4)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(* 3/40 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(* 3/40 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(* 3/40 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(* 3/40 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(* 3/40 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(* 3/40 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(* 3/40 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(* 3/40 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(* 3/40 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(* 3/40 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(* 3/40 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
Compiled 27 276 to 3 341 computations (87.8% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 020 | 3 | 1 023 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 024 | 11 | 1 035 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 48.1% | (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
| ✓ | 49.5% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) |
| ▶ | 27.6% | (neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) |
| ▶ | 27.5% | (neg.f64 (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) |
| ▶ | 28.6% | (neg.f64 (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) |
| ▶ | 5.3% | (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
| ✓ | 27.6% | (log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | 26.1% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 18.2% | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| ✓ | 25.4% | (log.f64 (+.f64 x x)) |
| ✓ | 50.2% | x |
Compiled 110 to 74 computations (32.7% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 x #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 64 | (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 512 | (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 23 476× | accelerator-lowering-fma.f32 |
| 23 476× | accelerator-lowering-fma.f64 |
| 2 322× | *-lowering-*.f32 |
| 2 322× | *-lowering-*.f64 |
| 2 228× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 191 |
| 1 | 53 | 167 |
| 2 | 91 | 167 |
| 3 | 135 | 167 |
| 4 | 183 | 166 |
| 5 | 383 | 166 |
| 6 | 969 | 166 |
| 7 | 4062 | 166 |
| 8 | 7136 | 166 |
| 0 | 8267 | 155 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (/ (- (* x x) (+ (* x x) 1)) (- x (pow (+ (* x x) 1) 1/2)))) |
(/ (- (* x x) (+ (* x x) 1)) (- x (pow (+ (* x x) 1) 1/2))) |
(- (* x x) (+ (* x x) 1)) |
(* x x) |
x |
(+ (* x x) 1) |
1 |
(- x (pow (+ (* x x) 1) 1/2)) |
(pow (+ (* x x) 1) 1/2) |
1/2 |
(neg (log (+ (* x -2) (/ -1/2 x)))) |
(log (+ (* x -2) (/ -1/2 x))) |
(+ (* x -2) (/ -1/2 x)) |
(* x -2) |
x |
-2 |
(/ -1/2 x) |
-1/2 |
(neg (log (+ (* x -2) (/ (+ -1/2 (/ 1/8 (* x x))) x)))) |
(log (+ (* x -2) (/ (+ -1/2 (/ 1/8 (* x x))) x))) |
(+ (* x -2) (/ (+ -1/2 (/ 1/8 (* x x))) x)) |
(* x -2) |
x |
-2 |
(/ (+ -1/2 (/ 1/8 (* x x))) x) |
(+ -1/2 (/ 1/8 (* x x))) |
-1/2 |
(/ 1/8 (* x x)) |
1/8 |
(* x x) |
(neg (log (/ x -1/2))) |
(log (/ x -1/2)) |
(/ x -1/2) |
x |
-1/2 |
| Outputs |
|---|
(log (/ (- (* x x) (+ (* x x) 1)) (- x (pow (+ (* x x) 1) 1/2)))) |
(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) x))) |
(/ (- (* x x) (+ (* x x) 1)) (- x (pow (+ (* x x) 1) 1/2))) |
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) x)) |
(- (* x x) (+ (* x x) 1)) |
#s(literal -1 binary64) |
(* x x) |
(*.f64 x x) |
x |
(+ (* x x) 1) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(- x (pow (+ (* x x) 1) 1/2)) |
(-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(pow (+ (* x x) 1) 1/2) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(neg (log (+ (* x -2) (/ -1/2 x)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) |
(log (+ (* x -2) (/ -1/2 x))) |
(log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x))) |
(+ (* x -2) (/ -1/2 x)) |
(+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(* x -2) |
(/.f64 x #s(literal -1/2 binary64)) |
x |
-2 |
#s(literal -2 binary64) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
-1/2 |
#s(literal -1/2 binary64) |
(neg (log (+ (* x -2) (/ (+ -1/2 (/ 1/8 (* x x))) x)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) |
(log (+ (* x -2) (/ (+ -1/2 (/ 1/8 (* x x))) x))) |
(log.f64 (-.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) |
(+ (* x -2) (/ (+ -1/2 (/ 1/8 (* x x))) x)) |
(-.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(* x -2) |
(/.f64 x #s(literal -1/2 binary64)) |
x |
-2 |
#s(literal -2 binary64) |
(/ (+ -1/2 (/ 1/8 (* x x))) x) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
(+ -1/2 (/ 1/8 (* x x))) |
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
-1/2 |
#s(literal -1/2 binary64) |
(/ 1/8 (* x x)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
1/8 |
#s(literal 1/8 binary64) |
(* x x) |
(*.f64 x x) |
(neg (log (/ x -1/2))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal -1/2 binary64)))) |
(log (/ x -1/2)) |
(log.f64 (/.f64 x #s(literal -1/2 binary64))) |
(/ x -1/2) |
(/.f64 x #s(literal -1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (log.f64 (/.f64 x #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (neg.f64 (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 88.8% | (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 74.0% | (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 39.0ms | 186× | 0 | invalid |
| 36.0ms | 69× | 1 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 197 to 29 computations (85.3% saved)
ival-log: 16.0ms (27.9% of total)ival-div: 14.0ms (24.4% of total)ival-mult: 8.0ms (14% of total)ival-add: 6.0ms (10.5% of total)adjust: 4.0ms (7% of total)ival-neg: 4.0ms (7% of total)ival-sub: 3.0ms (5.2% of total)ival-sqrt: 2.0ms (3.5% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (* x x) (+ (* x x) 1))> |
#<alt (pow (+ (* x x) 1) 1/2)> |
#<alt (log (/ (- (* x x) (+ (* x x) 1)) (- x (pow (+ (* x x) 1) 1/2))))> |
#<alt (/ (- (* x x) (+ (* x x) 1)) (- x (pow (+ (* x x) 1) 1/2)))> |
#<alt (log (+ (* x -2) (/ -1/2 x)))> |
#<alt (+ (* x -2) (/ -1/2 x))> |
#<alt (* x -2)> |
#<alt (/ -1/2 x)> |
#<alt (log (+ (* x -2) (/ (+ -1/2 (/ 1/8 (* x x))) x)))> |
#<alt (+ (* x -2) (/ (+ -1/2 (/ 1/8 (* x x))) x))> |
#<alt (/ (+ -1/2 (/ 1/8 (* x x))) x)> |
#<alt (log (/ x -1/2))> |
#<alt (/ x -1/2)> |
#<alt (neg (log (/ x -1/2)))> |
#<alt (* x x)> |
#<alt (neg (log (+ (* x -2) (/ -1/2 x))))> |
#<alt (/ 1/8 (* x x))> |
#<alt (neg (log (+ (* x -2) (/ (+ -1/2 (/ 1/8 (* x x))) x))))> |
| Outputs |
|---|
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))> |
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))> |
#<alt (+ (log 1/2) (log (/ -1 x)))> |
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt (/ -1/2 x)> |
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))> |
#<alt (+ (log -1/2) (* -1 (log x)))> |
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))> |
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))> |
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))> |
#<alt (+ (log -2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))> |
#<alt (+ (log 2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (* -2 (pow x 2)) 1/2) x)> |
#<alt (/ (- (* -2 (pow x 2)) 1/2) x)> |
#<alt (/ (- (* -2 (pow x 2)) 1/2) x)> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (+ (log 1/8) (* -3 (log x)))> |
#<alt (+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))> |
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -24 (pow x 2)) 4))))> |
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -256/3 (pow x 2)) 24)) 4))))> |
#<alt (+ (log -2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))> |
#<alt (+ (log 2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))> |
#<alt (/ (+ 1/8 (* (pow x 2) (- (* -2 (pow x 2)) 1/2))) (pow x 3))> |
#<alt (/ (+ 1/8 (* (pow x 2) (- (* -2 (pow x 2)) 1/2))) (pow x 3))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))> |
#<alt (* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))> |
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))> |
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)> |
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)> |
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)> |
#<alt (/ -1/2 x)> |
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (+ (log -2) (log x))> |
#<alt (+ (log -2) (log x))> |
#<alt (+ (log -2) (log x))> |
#<alt (+ (log -2) (log x))> |
#<alt (+ (log -2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ -1 x))))> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -1 (+ (log -2) (log x)))> |
#<alt (* -1 (+ (log -2) (log x)))> |
#<alt (* -1 (+ (log -2) (log x)))> |
#<alt (* -1 (+ (log -2) (log x)))> |
#<alt (* -1 (+ (log -2) (* -1 (log (/ 1 x)))))> |
#<alt (* -1 (+ (log -2) (* -1 (log (/ 1 x)))))> |
#<alt (* -1 (+ (log -2) (* -1 (log (/ 1 x)))))> |
#<alt (* -1 (+ (log -2) (* -1 (log (/ 1 x)))))> |
#<alt (* -1 (+ (log 2) (* -1 (log (/ -1 x)))))> |
#<alt (* -1 (+ (log 2) (* -1 (log (/ -1 x)))))> |
#<alt (* -1 (+ (log 2) (* -1 (log (/ -1 x)))))> |
#<alt (* -1 (+ (log 2) (* -1 (log (/ -1 x)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* -1 (+ (log -1/2) (* -1 (log x))))> |
#<alt (- (* -4 (pow x 2)) (+ (log -1/2) (* -1 (log x))))> |
#<alt (- (* (pow x 2) (- (* 8 (pow x 2)) 4)) (+ (log -1/2) (* -1 (log x))))> |
#<alt (- (* (pow x 2) (- (* (pow x 2) (+ 8 (* -64/3 (pow x 2)))) 4)) (+ (log -1/2) (* -1 (log x))))> |
#<alt (* -1 (+ (log -2) (* -1 (log (/ 1 x)))))> |
#<alt (* -1 (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (- (/ 1/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (- (/ 1/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))> |
#<alt (* -1 (+ (log 2) (* -1 (log (/ -1 x)))))> |
#<alt (* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (- (/ 1/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (- (/ 1/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (* -1 (+ (log 1/8) (* -3 (log x))))> |
#<alt (- (* 4 (pow x 2)) (+ (log 1/8) (* -3 (log x))))> |
#<alt (- (* (pow x 2) (+ 4 (* 24 (pow x 2)))) (+ (log 1/8) (* -3 (log x))))> |
#<alt (- (* (pow x 2) (+ 4 (* (pow x 2) (+ 24 (* 256/3 (pow x 2)))))) (+ (log 1/8) (* -3 (log x))))> |
#<alt (* -1 (+ (log -2) (* -1 (log (/ 1 x)))))> |
#<alt (* -1 (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (- (/ 3/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (- (/ 3/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))))> |
#<alt (* -1 (+ (log 2) (* -1 (log (/ -1 x)))))> |
#<alt (* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | inf | (log (/ x -1/2)) |
| 6.0ms | x | @ | -inf | (log (/ x -1/2)) |
| 6.0ms | x | @ | 0 | (log (/ x -1/2)) |
| 0.0ms | x | @ | inf | (log (+ (* x -2) (/ (+ -1/2 (/ 1/8 (* x x))) x))) |
| 0.0ms | x | @ | 0 | (log (+ (* x -2) (/ -1/2 x))) |
| 1× | batch-egg-rewrite |
| 6 018× | accelerator-lowering-fma.f32 |
| 6 018× | accelerator-lowering-fma.f64 |
| 5 078× | /-lowering-/.f32 |
| 5 078× | /-lowering-/.f64 |
| 3 094× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 152 |
| 1 | 173 | 124 |
| 2 | 1762 | 124 |
| 0 | 8369 | 111 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* x x) (+ (* x x) 1)) |
(pow (+ (* x x) 1) 1/2) |
(log (/ (- (* x x) (+ (* x x) 1)) (- x (pow (+ (* x x) 1) 1/2)))) |
(/ (- (* x x) (+ (* x x) 1)) (- x (pow (+ (* x x) 1) 1/2))) |
(log (+ (* x -2) (/ -1/2 x))) |
(+ (* x -2) (/ -1/2 x)) |
(* x -2) |
(/ -1/2 x) |
(log (+ (* x -2) (/ (+ -1/2 (/ 1/8 (* x x))) x))) |
(+ (* x -2) (/ (+ -1/2 (/ 1/8 (* x x))) x)) |
(/ (+ -1/2 (/ 1/8 (* x x))) x) |
(log (/ x -1/2)) |
(/ x -1/2) |
(neg (log (/ x -1/2))) |
(* x x) |
(neg (log (+ (* x -2) (/ -1/2 x)))) |
(/ 1/8 (* x x)) |
(neg (log (+ (* x -2) (/ (+ -1/2 (/ 1/8 (* x x))) x)))) |
| Outputs |
|---|
#s(literal -1 binary64) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/4 binary64)))) |
(fabs.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (sqrt.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
(pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x))) |
(*.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/4 binary64)))) |
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(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x)))))) (log.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (/.f64 x #s(literal -1/2 binary64))) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))))) (log.f64 (-.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))))))) (/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))))) (/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))))) |
(neg.f64 (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))))))) |
(*.f64 (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) |
| 1× | egg-herbie |
| 13 058× | accelerator-lowering-fma.f32 |
| 13 058× | accelerator-lowering-fma.f64 |
| 4 402× | +-lowering-+.f64 |
| 4 402× | +-lowering-+.f32 |
| 3 072× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 259 | 1935 |
| 1 | 742 | 1845 |
| 2 | 2124 | 1825 |
| 3 | 6848 | 1765 |
| 0 | 8191 | 1692 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(+ (log -1/2) (* -1 (log x))) |
(+ (log -1/2) (+ (* -1 (log x)) (* 4 (pow x 2)))) |
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2)))))) |
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8)))))) |
(+ (log -2) (* -1 (log (/ 1 x)))) |
(+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4))) |
(- (+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4))) |
(+ (log 2) (* -1 (log (/ -1 x)))) |
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4))) |
(/ -1/2 x) |
(/ (- (* -2 (pow x 2)) 1/2) x) |
(/ (- (* -2 (pow x 2)) 1/2) x) |
(/ (- (* -2 (pow x 2)) 1/2) x) |
(* -2 x) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(* -2 x) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(+ (log 1/8) (* -3 (log x))) |
(+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x)))) |
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -24 (pow x 2)) 4)))) |
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -256/3 (pow x 2)) 24)) 4)))) |
(+ (log -2) (* -1 (log (/ 1 x)))) |
(+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 2) (* -1 (log (/ -1 x)))) |
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(/ 1/8 (pow x 3)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3)) |
(/ (+ 1/8 (* (pow x 2) (- (* -2 (pow x 2)) 1/2))) (pow x 3)) |
(/ (+ 1/8 (* (pow x 2) (- (* -2 (pow x 2)) 1/2))) (pow x 3)) |
(* -2 x) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(* -2 x) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(/ 1/8 (pow x 3)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3)) |
(/ -1/2 x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(+ (log -2) (log x)) |
(+ (log -2) (log x)) |
(+ (log -2) (log x)) |
(+ (log -2) (log x)) |
(+ (log -2) (* -1 (log (/ 1 x)))) |
(+ (log -2) (* -1 (log (/ 1 x)))) |
(+ (log -2) (* -1 (log (/ 1 x)))) |
(+ (log -2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ -1 x)))) |
(+ (log 2) (* -1 (log (/ -1 x)))) |
(+ (log 2) (* -1 (log (/ -1 x)))) |
(+ (log 2) (* -1 (log (/ -1 x)))) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -1 (+ (log -2) (log x))) |
(* -1 (+ (log -2) (log x))) |
(* -1 (+ (log -2) (log x))) |
(* -1 (+ (log -2) (log x))) |
(* -1 (+ (log -2) (* -1 (log (/ 1 x))))) |
(* -1 (+ (log -2) (* -1 (log (/ 1 x))))) |
(* -1 (+ (log -2) (* -1 (log (/ 1 x))))) |
(* -1 (+ (log -2) (* -1 (log (/ 1 x))))) |
(* -1 (+ (log 2) (* -1 (log (/ -1 x))))) |
(* -1 (+ (log 2) (* -1 (log (/ -1 x))))) |
(* -1 (+ (log 2) (* -1 (log (/ -1 x))))) |
(* -1 (+ (log 2) (* -1 (log (/ -1 x))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 (+ (log -1/2) (* -1 (log x)))) |
(- (* -4 (pow x 2)) (+ (log -1/2) (* -1 (log x)))) |
(- (* (pow x 2) (- (* 8 (pow x 2)) 4)) (+ (log -1/2) (* -1 (log x)))) |
(- (* (pow x 2) (- (* (pow x 2) (+ 8 (* -64/3 (pow x 2)))) 4)) (+ (log -1/2) (* -1 (log x)))) |
(* -1 (+ (log -2) (* -1 (log (/ 1 x))))) |
(* -1 (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(- (/ 1/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(- (/ 1/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6))))))) |
(* -1 (+ (log 2) (* -1 (log (/ -1 x))))) |
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(- (/ 1/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(- (/ 1/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6))))))) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(* -1 (+ (log 1/8) (* -3 (log x)))) |
(- (* 4 (pow x 2)) (+ (log 1/8) (* -3 (log x)))) |
(- (* (pow x 2) (+ 4 (* 24 (pow x 2)))) (+ (log 1/8) (* -3 (log x)))) |
(- (* (pow x 2) (+ 4 (* (pow x 2) (+ 24 (* 256/3 (pow x 2)))))) (+ (log 1/8) (* -3 (log x)))) |
(* -1 (+ (log -2) (* -1 (log (/ 1 x))))) |
(* -1 (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(- (/ 3/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(- (/ 3/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6))))))) |
(* -1 (+ (log 2) (* -1 (log (/ -1 x))))) |
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6))))))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+.f64 x (+.f64 (*.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(-.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 6 binary64)))))) x) |
(+ (log -1/2) (* -1 (log x))) |
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)) |
(+ (log -1/2) (+ (* -1 (log x)) (* 4 (pow x 2)))) |
(+.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (log.f64 x))) |
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2)))))) |
(+.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal -8 binary64))))) |
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8)))))) |
(+.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)) (*.f64 x (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) #s(literal 64/3 binary64)))))))) |
(+ (log -2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) |
(+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal -2 binary64)))) |
(- (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4))) |
(+.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -1/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(- (+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4))) |
(+.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1/192 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (log.f64 #s(literal -2 binary64)) (/.f64 #s(literal -1/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(+ (log 2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4))) |
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4))) |
(+.f64 (/.f64 #s(literal 1/192 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* -2 (pow x 2)) 1/2) x) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(/ (- (* -2 (pow x 2)) 1/2) x) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(/ (- (* -2 (pow x 2)) 1/2) x) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(+ (log 1/8) (* -3 (log x))) |
(+.f64 (log.f64 #s(literal 1/8 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64))) |
(+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x)))) |
(+.f64 (+.f64 (log.f64 #s(literal 1/8 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64))) (*.f64 (*.f64 x x) #s(literal -4 binary64))) |
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -24 (pow x 2)) 4)))) |
(+.f64 (+.f64 (log.f64 #s(literal 1/8 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x #s(literal -24 binary64)))))) |
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -256/3 (pow x 2)) 24)) 4)))) |
(+.f64 (log.f64 #s(literal 1/8 binary64)) (+.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -24 binary64) (*.f64 (*.f64 x x) #s(literal -256/3 binary64)))))))) |
(+ (log -2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) |
(+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal -2 binary64)))) |
(- (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(+.f64 (log.f64 #s(literal -2 binary64)) (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(- (+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (log.f64 #s(literal -2 binary64)))) |
(+ (log 2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x))) |
(/ (+ 1/8 (* (pow x 2) (- (* -2 (pow x 2)) 1/2))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))))) (*.f64 x (*.f64 x x))) |
(/ (+ 1/8 (* (pow x 2) (- (* -2 (pow x 2)) 1/2))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))))) (*.f64 x (*.f64 x x))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x))) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x))) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
(+ (log -2) (log x)) |
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) |
(+ (log -2) (log x)) |
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) |
(+ (log -2) (log x)) |
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) |
(+ (log -2) (log x)) |
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) |
(+ (log -2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) |
(+ (log -2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) |
(+ (log -2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) |
(+ (log -2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) |
(+ (log 2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log 2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log 2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log 2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -1 (+ (log -2) (log x))) |
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -2 binary64))) |
(* -1 (+ (log -2) (log x))) |
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -2 binary64))) |
(* -1 (+ (log -2) (log x))) |
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -2 binary64))) |
(* -1 (+ (log -2) (log x))) |
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -2 binary64))) |
(* -1 (+ (log -2) (* -1 (log (/ 1 x))))) |
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -2 binary64))) |
(* -1 (+ (log -2) (* -1 (log (/ 1 x))))) |
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -2 binary64))) |
(* -1 (+ (log -2) (* -1 (log (/ 1 x))))) |
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -2 binary64))) |
(* -1 (+ (log -2) (* -1 (log (/ 1 x))))) |
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -2 binary64))) |
(* -1 (+ (log 2) (* -1 (log (/ -1 x))))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64))) |
(* -1 (+ (log 2) (* -1 (log (/ -1 x))))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64))) |
(* -1 (+ (log 2) (* -1 (log (/ -1 x))))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64))) |
(* -1 (+ (log 2) (* -1 (log (/ -1 x))))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1 (+ (log -1/2) (* -1 (log x)))) |
(-.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64))) |
(- (* -4 (pow x 2)) (+ (log -1/2) (* -1 (log x)))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) (-.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64)))) |
(- (* (pow x 2) (- (* 8 (pow x 2)) 4)) (+ (log -1/2) (* -1 (log x)))) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x #s(literal 8 binary64))))) (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))) |
(- (* (pow x 2) (- (* (pow x 2) (+ 8 (* -64/3 (pow x 2)))) 4)) (+ (log -1/2) (* -1 (log x)))) |
(+.f64 (log.f64 x) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) #s(literal -64/3 binary64)))))) (log.f64 #s(literal -1/2 binary64)))) |
(* -1 (+ (log -2) (* -1 (log (/ 1 x))))) |
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -2 binary64))) |
(* -1 (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))) |
(- (/ 1/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal -2 binary64))))) |
(- (/ 1/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6))))))) |
(+.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal -2 binary64))))) (/.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(* -1 (+ (log 2) (* -1 (log (/ -1 x))))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64))) |
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(- (/ 1/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(- (/ 1/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6))))))) |
(+.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (log.f64 #s(literal 2 binary64))) (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* -1 (+ (log 1/8) (* -3 (log x)))) |
(-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 #s(literal 1/8 binary64))) |
(- (* 4 (pow x 2)) (+ (log 1/8) (* -3 (log x)))) |
(+.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (log.f64 #s(literal 1/8 binary64))) (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(- (* (pow x 2) (+ 4 (* 24 (pow x 2)))) (+ (log 1/8) (* -3 (log x)))) |
(+.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 24 binary64))))) (log.f64 #s(literal 1/8 binary64))) (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(- (* (pow x 2) (+ 4 (* (pow x 2) (+ 24 (* 256/3 (pow x 2)))))) (+ (log 1/8) (* -3 (log x)))) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) #s(literal 256/3 binary64)))))) (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 #s(literal 1/8 binary64)))) |
(* -1 (+ (log -2) (* -1 (log (/ 1 x))))) |
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -2 binary64))) |
(* -1 (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))) |
(- (/ 3/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal -2 binary64))))) |
(- (/ 3/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6))))))) |
(+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 x)) (/.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 #s(literal -2 binary64)))) |
(* -1 (+ (log 2) (* -1 (log (/ -1 x))))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64))) |
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6))))))) |
(+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
Compiled 22 597 to 3 102 computations (86.3% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 962 | 1 | 963 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 7 | 7 |
| Total | 963 | 11 | 974 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 48.1% | (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
| ✓ | 49.5% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) |
| ✓ | 27.6% | (neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) |
| ✓ | 27.5% | (neg.f64 (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) |
| ✓ | 28.6% | (neg.f64 (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) |
| ✓ | 27.6% | (log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
| 19.8% | (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) | |
| ✓ | 26.1% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 18.2% | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| ✓ | 25.4% | (log.f64 (+.f64 x x)) |
| ✓ | 50.2% | x |
Compiled 335 to 159 computations (52.5% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) |
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
(neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(neg.f64 (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) |
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(neg.f64 (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) |
(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)) |
(neg.f64 (log.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)))))) |
(log.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
(log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(neg.f64 (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
3 calls:
| 6.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 5.0ms | x |
| 5.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | x |
| 87.9% | 3 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 87.9% | 3 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
Compiled 21 to 14 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) |
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
(neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(neg.f64 (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) |
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
| Outputs |
|---|
(neg.f64 (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) |
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
(neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
(neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) |
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
(neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
(log.f64 (+.f64 x x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) |
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
| Outputs |
|---|
(log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
(log.f64 (+.f64 x x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) |
(log.f64 (+.f64 x x)) |
| Outputs |
|---|
x |
(log.f64 (+.f64 x x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
Total -1.6b remaining (-5%)
Threshold costs -1.6b (-5%)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))))) |
| Outputs |
|---|
x |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 7.451578837002172e-7 | 316856.23831646255 |
| 12.0ms | -9.086793081033163 | -0.0002146218049715962 |
| 16.0ms | 288× | 0 | valid |
Compiled 447 to 319 computations (28.6% saved)
ival-hypot: 5.0ms (50% of total)ival-log: 3.0ms (30% of total)ival-add: 1.0ms (10% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 7.451578837002172e-7 | 316856.23831646255 |
| 11.0ms | -9.086793081033163 | -0.0002146218049715962 |
| 16.0ms | 288× | 0 | valid |
Compiled 399 to 287 computations (28.1% saved)
ival-hypot: 5.0ms (47.4% of total)ival-log: 4.0ms (37.9% of total)ival-add: 1.0ms (9.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 7.451578837002172e-7 | 316856.23831646255 |
| 12.0ms | -9.086793081033163 | -0.0002146218049715962 |
| 15.0ms | 288× | 0 | valid |
Compiled 367 to 263 computations (28.3% saved)
ival-hypot: 5.0ms (54% of total)ival-log: 3.0ms (32.4% of total)ival-add: 1.0ms (10.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 7.451578837002172e-7 | 316856.23831646255 |
| 12.0ms | -9.086793081033163 | -0.0002146218049715962 |
| 15.0ms | 288× | 0 | valid |
Compiled 327 to 223 computations (31.8% saved)
ival-hypot: 5.0ms (53.7% of total)ival-log: 3.0ms (32.2% of total)ival-add: 1.0ms (10.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 7.451578837002172e-7 | 316856.23831646255 |
| 15.0ms | -9.086793081033163 | -0.0002146218049715962 |
| 15.0ms | 288× | 0 | valid |
Compiled 319 to 215 computations (32.6% saved)
ival-hypot: 5.0ms (52.7% of total)ival-log: 3.0ms (31.6% of total)ival-add: 1.0ms (10.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 7.451578837002172e-7 | 316856.23831646255 |
| 10.0ms | 160× | 0 | valid |
Compiled 103 to 69 computations (33% saved)
ival-hypot: 4.0ms (58.7% of total)ival-log: 2.0ms (29.3% of total)ival-add: 1.0ms (14.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 16× | +-commutative_binary64 |
| 14× | *-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 165 |
| 1 | 67 | 165 |
| 2 | 73 | 165 |
| 3 | 76 | 165 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -8106479329266893/9007199254740992 binary64)) (neg.f64 (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(if (<=.f64 x #s(literal -4278419646001971/4503599627370496 binary64)) (neg.f64 (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) (log.f64 (+.f64 x x)))) |
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) (log.f64 (+.f64 x x)))) |
(if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (+.f64 x x))) |
x |
| Outputs |
|---|
(if (<=.f64 x #s(literal -8106479329266893/9007199254740992 binary64)) (neg.f64 (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(if (<=.f64 x #s(literal -8106479329266893/9007199254740992 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(if (<=.f64 x #s(literal -4278419646001971/4503599627370496 binary64)) (neg.f64 (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(if (<=.f64 x #s(literal -4278419646001971/4503599627370496 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) (log.f64 (+.f64 x x)))) |
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (log.f64 (+.f64 x x)))) |
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) x) (log.f64 (+.f64 x x)))) |
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (log.f64 (+.f64 x x)))) |
(if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (+.f64 x x))) |
x |
| 15 008× | accelerator-lowering-fma.f32 |
| 15 008× | accelerator-lowering-fma.f64 |
| 11 038× | accelerator-lowering-fma.f32 |
| 11 038× | accelerator-lowering-fma.f64 |
| 6 096× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 179 |
| 1 | 204 | 167 |
| 2 | 2113 | 167 |
| 0 | 8326 | 151 |
| 0 | 125 | 525 |
| 1 | 353 | 517 |
| 2 | 931 | 509 |
| 3 | 2911 | 479 |
| 4 | 7055 | 479 |
| 0 | 8123 | 448 |
| 0 | 232 | 1974 |
| 1 | 575 | 1919 |
| 2 | 1581 | 1917 |
| 3 | 4602 | 1888 |
| 0 | 8322 | 1810 |
| 0 | 27 | 110 |
| 1 | 143 | 100 |
| 0 | 1639 | 95 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 348 to 175 computations (49.7% saved)
Compiled 410 to 144 computations (64.9% saved)
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