
Time bar (total: 11.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 75.2% | 24.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 75.2% | 24.8% | 0% | 0% | 0% | 1 |
| 50% | 37.6% | 37.6% | 24.8% | 0% | 0% | 0% | 2 |
| 75% | 56.4% | 18.8% | 24.8% | 0% | 0% | 0% | 3 |
| 87.5% | 65.8% | 9.4% | 24.8% | 0% | 0% | 0% | 4 |
| 93.8% | 70.5% | 4.7% | 24.8% | 0% | 0% | 0% | 5 |
| 96.9% | 72.8% | 2.3% | 24.8% | 0% | 0% | 0% | 6 |
| 98.4% | 74% | 1.2% | 24.8% | 0% | 0% | 0% | 7 |
| 99.2% | 74.6% | 0.6% | 24.8% | 0% | 0% | 0% | 8 |
| 99.6% | 74.9% | 0.3% | 24.8% | 0% | 0% | 0% | 9 |
| 99.8% | 75% | 0.1% | 24.8% | 0% | 0% | 0% | 10 |
| 99.9% | 75.1% | 0.1% | 24.8% | 0% | 0% | 0% | 11 |
| 100% | 75.1% | 0% | 24.8% | 0% | 0% | 0% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 362.0ms | 8 256× | 0 | valid |
ival-exp: 66.0ms (32.6% of total)ival-div: 59.0ms (29.2% of total)ival-expm1: 47.0ms (23.2% of total)ival->: 20.0ms (9.9% of total)exact: 7.0ms (3.5% of total)ival-assert: 4.0ms (2% of total)| 2× | egg-herbie |
| 1 938× | div-sub |
| 768× | sub-neg |
| 640× | cube-prod |
| 488× | exp-diff |
| 452× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 25 | 26 |
| 2 | 46 | 25 |
| 3 | 82 | 25 |
| 4 | 135 | 19 |
| 5 | 245 | 19 |
| 6 | 368 | 19 |
| 7 | 722 | 19 |
| 8 | 1507 | 19 |
| 9 | 2615 | 19 |
| 10 | 3399 | 19 |
| 11 | 4082 | 19 |
| 12 | 4886 | 19 |
| 13 | 6419 | 19 |
| 0 | 5 | 7 |
| 1 | 10 | 7 |
| 2 | 11 | 7 |
| 0 | 11 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(/ (exp x) (- (exp x) 1)) |
| Outputs |
|---|
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
| Inputs |
|---|
(/ (exp x) (- (exp x) 1)) |
(/ (exp (neg x)) (- (exp (neg x)) 1)) |
(neg (/ (exp (neg x)) (- (exp (neg x)) 1))) |
| Outputs |
|---|
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (+ (exp x) -1)) |
(/ (exp (neg x)) (- (exp (neg x)) 1)) |
(/ 1 (- 1 (exp x))) |
(neg (/ (exp (neg x)) (- (exp (neg x)) 1))) |
(/ 1 (+ (exp x) -1)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 170 | 0 | - | 0 | - | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | cancellation | 170 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 170 | 0 |
| - | 0 | 86 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 170 | 0 | 0 |
| - | 0 | 1 | 85 |
| number | freq |
|---|---|
| 0 | 86 |
| 1 | 170 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 22.0ms | 512× | 0 | valid |
Compiled 50 to 24 computations (52% saved)
ival-div: 4.0ms (35.5% of total)ival-exp: 4.0ms (35.5% of total)ival-expm1: 3.0ms (26.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 6 to 4 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (expm1.f64 x) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| 4× | +-lowering-+.f64 |
| 4× | +-lowering-+.f32 |
| 2× | accelerator-lowering-expm1.f32 |
| 2× | exp-lowering-exp.f32 |
| 2× | accelerator-lowering-expm1.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 1 | 10 | 14 |
| 2 | 11 | 14 |
| 0 | 11 | 10 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (exp x) (- (exp x) 1)) |
(exp x) |
x |
(- (exp x) 1) |
| Outputs |
|---|
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(exp x) |
(exp.f64 x) |
x |
(- (exp x) 1) |
(expm1.f64 x) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| ✓ | accuracy | 100.0% | (expm1.f64 x) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| 10.0ms | 256× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-div: 2.0ms (37.5% of total)ival-exp: 2.0ms (37.5% of total)ival-expm1: 1.0ms (18.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (exp x)> |
#<alt (- (exp x) 1)> |
| Outputs |
|---|
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (exp x) (- (exp x) 1)) |
| 1.0ms | x | @ | -inf | (/ (exp x) (- (exp x) 1)) |
| 0.0ms | x | @ | 0 | (/ (exp x) (- (exp x) 1)) |
| 0.0ms | x | @ | 0 | (exp x) |
| 0.0ms | x | @ | 0 | (- (exp x) 1) |
| 1× | batch-egg-rewrite |
| 5 384× | /-lowering-/.f32 |
| 5 384× | /-lowering-/.f64 |
| 3 398× | accelerator-lowering-fma.f32 |
| 3 398× | accelerator-lowering-fma.f64 |
| 3 144× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 1 | 30 | 13 |
| 2 | 185 | 13 |
| 3 | 1803 | 13 |
| 0 | 8778 | 9 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp x) (- (exp x) 1)) |
(exp x) |
(- (exp x) 1) |
| Outputs |
|---|
(+.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 x))) |
(+.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal -1 binary64))) |
(exp.f64 (+.f64 x (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)) x)) |
(exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)) (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 1 binary64))) |
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) |
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(fma.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 x) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 x))) (*.f64 (exp.f64 x) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 x)) (*.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
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(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (expm1.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) |
| 1× | egg-herbie |
| 10 384× | accelerator-lowering-fma.f32 |
| 10 384× | accelerator-lowering-fma.f64 |
| 4 444× | *-lowering-*.f32 |
| 4 444× | *-lowering-*.f64 |
| 1 878× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 202 |
| 1 | 122 | 202 |
| 2 | 258 | 202 |
| 3 | 575 | 202 |
| 4 | 829 | 202 |
| 5 | 975 | 202 |
| 6 | 1002 | 202 |
| 7 | 1096 | 196 |
| 8 | 1517 | 196 |
| 9 | 1960 | 196 |
| 10 | 3361 | 196 |
| 11 | 4922 | 196 |
| 12 | 5211 | 196 |
| 13 | 5590 | 196 |
| 14 | 6120 | 196 |
| 15 | 6868 | 196 |
| 0 | 10202 | 150 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 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 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))))) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
Compiled 9 634 to 1 181 computations (87.7% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 381 | 6 | 387 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 382 | 6 | 388 |
| Status | Accuracy | Program |
|---|---|---|
| 98.9% | (/.f64 (exp.f64 x) x) | |
| ▶ | 67.8% | (/.f64 #s(literal 1 binary64) x) |
| ▶ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| ▶ | 67.5% | (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
| ▶ | 67.5% | (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ▶ | 67.5% | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
Compiled 94 to 72 computations (23.4% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/12 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | -64 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (expm1.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| 192× | +-lowering-+.f64 |
| 192× | +-lowering-+.f32 |
| 178× | accelerator-lowering-fma.f32 |
| 178× | accelerator-lowering-fma.f64 |
| 98× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 108 |
| 1 | 47 | 108 |
| 2 | 85 | 108 |
| 3 | 116 | 108 |
| 4 | 137 | 108 |
| 5 | 143 | 108 |
| 6 | 176 | 108 |
| 7 | 233 | 108 |
| 8 | 256 | 108 |
| 0 | 256 | 98 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ -1 (- (exp (neg x)) 1)) |
-1 |
(- (exp (neg x)) 1) |
(neg x) |
x |
(/ 1 x) |
1 |
x |
(+ (/ 1 x) 1/2) |
(/ 1 x) |
1 |
x |
1/2 |
(+ (/ 1 x) (+ (* x 1/12) 1/2)) |
(/ 1 x) |
1 |
x |
(+ (* x 1/12) 1/2) |
(* x 1/12) |
1/12 |
1/2 |
(+ (+ (/ 1 x) 1/2) (* x (+ 1/12 (* -1/720 (* x x))))) |
(+ (/ 1 x) 1/2) |
(/ 1 x) |
1 |
x |
1/2 |
(* x (+ 1/12 (* -1/720 (* x x)))) |
(+ 1/12 (* -1/720 (* x x))) |
1/12 |
(* -1/720 (* x x)) |
-1/720 |
(* x x) |
| Outputs |
|---|
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) |
-1 |
#s(literal -1 binary64) |
(- (exp (neg x)) 1) |
(expm1.f64 (-.f64 #s(literal 0 binary64) x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
x |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(+ (/ 1 x) 1/2) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
1/2 |
#s(literal 1/2 binary64) |
(+ (/ 1 x) (+ (* x 1/12) 1/2)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(+ (* x 1/12) 1/2) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* x 1/12) |
(*.f64 x #s(literal 1/12 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(+ (+ (/ 1 x) 1/2) (* x (+ 1/12 (* -1/720 (* x x))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))) |
(+ (/ 1 x) 1/2) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
1/2 |
#s(literal 1/2 binary64) |
(* x (+ 1/12 (* -1/720 (* x x)))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) |
(+ 1/12 (* -1/720 (* x x))) |
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) |
1/12 |
#s(literal 1/12 binary64) |
(* -1/720 (* x x)) |
(*.f64 x (*.f64 x #s(literal -1/720 binary64))) |
-1/720 |
#s(literal -1/720 binary64) |
(* x x) |
(*.f64 x x) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/12 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (expm1.f64 (neg.f64 x)) |
| 39.0ms | 254× | 0 | valid |
| 1.0ms | 2× | 5 | exit |
Compiled 106 to 21 computations (80.2% saved)
ival-mult: 8.0ms (29.9% of total)const: 6.0ms (22.4% of total)ival-add: 5.0ms (18.7% of total)ival-div: 4.0ms (15% of total)ival-expm1: 2.0ms (7.5% of total)ival-neg: 1.0ms (3.7% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (- (exp (neg x)) 1)> |
#<alt (neg x)> |
#<alt (/ 1 x)> |
#<alt (+ (/ 1 x) 1/2)> |
#<alt (+ (/ 1 x) (+ (* x 1/12) 1/2))> |
#<alt (+ (* x 1/12) 1/2)> |
#<alt (* x 1/12)> |
#<alt (+ (+ (/ 1 x) 1/2) (* x (+ 1/12 (* -1/720 (* x x)))))> |
#<alt (* x (+ 1/12 (* -1/720 (* x x))))> |
#<alt (* -1/720 (* x x))> |
#<alt (+ 1/12 (* -1/720 (* x x)))> |
| Outputs |
|---|
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt 1/2> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt 1/2> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/12 x))> |
#<alt (+ 1/2 (* 1/12 x))> |
#<alt (+ 1/2 (* 1/12 x))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt 1/12> |
#<alt (+ 1/12 (* -1/720 (pow x 2)))> |
#<alt (+ 1/12 (* -1/720 (pow x 2)))> |
#<alt (+ 1/12 (* -1/720 (pow x 2)))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (/ 1 x) (+ (* x 1/12) 1/2)) |
| 1.0ms | x | @ | inf | (/ -1 (- (exp (neg x)) 1)) |
| 0.0ms | x | @ | -inf | (/ -1 (- (exp (neg x)) 1)) |
| 0.0ms | x | @ | 0 | (/ -1 (- (exp (neg x)) 1)) |
| 0.0ms | x | @ | inf | (* x (+ 1/12 (* -1/720 (* x x)))) |
| 1× | batch-egg-rewrite |
| 4 530× | /-lowering-/.f32 |
| 4 530× | /-lowering-/.f64 |
| 4 360× | *-lowering-*.f32 |
| 4 360× | *-lowering-*.f64 |
| 3 748× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 75 |
| 1 | 134 | 75 |
| 2 | 1248 | 75 |
| 0 | 8343 | 65 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 (- (exp (neg x)) 1)) |
(- (exp (neg x)) 1) |
(neg x) |
(/ 1 x) |
(+ (/ 1 x) 1/2) |
(+ (/ 1 x) (+ (* x 1/12) 1/2)) |
(+ (* x 1/12) 1/2) |
(* x 1/12) |
(+ (+ (/ 1 x) 1/2) (* x (+ 1/12 (* -1/720 (* x x))))) |
(* x (+ 1/12 (* -1/720 (* x x)))) |
(* -1/720 (* x x)) |
(+ 1/12 (* -1/720 (* x x))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))))) |
(pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) |
(expm1.f64 (-.f64 #s(literal 0 binary64) x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))) (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))))) |
(/.f64 (expm1.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))))) (*.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64)) |
(*.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) |
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 x))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log.f64 (exp.f64 x)) #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(neg.f64 x) |
(neg.f64 (log.f64 (exp.f64 x))) |
(neg.f64 (log.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal -1 binary64) (log.f64 (exp.f64 x))) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal -1/8640 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64)) (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/144 binary64)))) |
(/.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))) |
(/.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)))) (+.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal -1/8640 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64))))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal -1/8640 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/144 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/144 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/144 binary64))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/144 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/144 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/144 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1/144 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64)))))) |
(*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))) |
| 1× | egg-herbie |
| 8 646× | accelerator-lowering-fma.f32 |
| 8 646× | accelerator-lowering-fma.f64 |
| 2 730× | *-lowering-*.f32 |
| 2 730× | *-lowering-*.f64 |
| 1 604× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 903 |
| 1 | 247 | 902 |
| 2 | 690 | 864 |
| 3 | 2088 | 833 |
| 4 | 6087 | 795 |
| 0 | 8271 | 701 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* 1/2 x)) x) |
1/2 |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
1/2 |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
1/2 |
(+ 1/2 (* 1/12 x)) |
(+ 1/2 (* 1/12 x)) |
(+ 1/2 (* 1/12 x)) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(* 1/12 x) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
1/12 |
(+ 1/12 (* -1/720 (pow x 2))) |
(+ 1/12 (* -1/720 (pow x 2))) |
(+ 1/12 (* -1/720 (pow x 2))) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))))) x) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(- (exp (neg x)) 1) |
(expm1.f64 (-.f64 #s(literal 0 binary64) x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (-.f64 #s(literal 0 binary64) x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (-.f64 #s(literal 0 binary64) x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (-.f64 #s(literal 0 binary64) x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (-.f64 #s(literal 0 binary64) x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (-.f64 #s(literal 0 binary64) x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (-.f64 #s(literal 0 binary64) x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (-.f64 #s(literal 0 binary64) x)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/12 x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(+ 1/2 (* 1/12 x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(+ 1/2 (* 1/12 x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))))) x) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* -1/720 (pow x 2))) |
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) |
(+ 1/12 (* -1/720 (pow x 2))) |
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) |
(+ 1/12 (* -1/720 (pow x 2))) |
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) |
Compiled 21 313 to 1 767 computations (91.7% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 725 | 7 | 732 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 725 | 13 | 738 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
| ▶ | 98.9% | (/.f64 (exp.f64 x) x) |
| ✓ | 67.8% | (/.f64 #s(literal 1 binary64) x) |
| 82.2% | (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) | |
| ▶ | 88.8% | (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
| 86.8% | (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) | |
| ✓ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| ▶ | 17.3% | (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
| 17.3% | (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) | |
| ✓ | 67.5% | (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 67.5% | (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | 67.5% | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
| ▶ | 3.2% | #s(literal 1/2 binary64) |
Compiled 288 to 201 computations (30.2% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (exp.f64 x) x) |
| 8 028× | accelerator-lowering-fma.f32 |
| 8 028× | accelerator-lowering-fma.f64 |
| 2 486× | *-lowering-*.f32 |
| 2 486× | *-lowering-*.f64 |
| 1 390× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 250 |
| 1 | 98 | 250 |
| 2 | 215 | 250 |
| 3 | 360 | 250 |
| 4 | 575 | 250 |
| 5 | 816 | 250 |
| 6 | 1302 | 250 |
| 7 | 3120 | 250 |
| 8 | 4964 | 250 |
| 9 | 6095 | 250 |
| 10 | 7309 | 248 |
| 0 | 8111 | 224 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp x) x) |
(exp x) |
x |
1/2 |
(/ (+ 1 (* x (+ 1/2 (* x 1/12)))) x) |
(+ 1 (* x (+ 1/2 (* x 1/12)))) |
1 |
(* x (+ 1/2 (* x 1/12))) |
x |
(+ 1/2 (* x 1/12)) |
1/2 |
(* x 1/12) |
1/12 |
(/ -1 (* x (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24)))))))) |
-1 |
(* x (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))))) |
x |
(+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24)))))) |
(* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))) |
(+ 1/2 (* x (+ -1/6 (* x 1/24)))) |
1/2 |
(* x (+ -1/6 (* x 1/24))) |
(+ -1/6 (* x 1/24)) |
-1/6 |
(* x 1/24) |
1/24 |
(+ (/ (+ (/ 1 (* x (* x x))) 1/8) (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x)))) (* x (+ 1/12 (* -1/720 (* x x))))) |
(/ (+ (/ 1 (* x (* x x))) 1/8) (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x)))) |
(+ (/ 1 (* x (* x x))) 1/8) |
(/ 1 (* x (* x x))) |
1 |
(* x (* x x)) |
x |
(* x x) |
1/8 |
(+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x))) |
(/ 1 (* x x)) |
(- 1/4 (/ 1/2 x)) |
1/4 |
(/ 1/2 x) |
1/2 |
(* x (+ 1/12 (* -1/720 (* x x)))) |
(+ 1/12 (* -1/720 (* x x))) |
1/12 |
(* -1/720 (* x x)) |
-1/720 |
| Outputs |
|---|
(/ (exp x) x) |
(/.f64 (exp.f64 x) x) |
(exp x) |
(exp.f64 x) |
x |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ 1 (* x (+ 1/2 (* x 1/12)))) x) |
(+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(+ 1 (* x (+ 1/2 (* x 1/12)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
1 |
#s(literal 1 binary64) |
(* x (+ 1/2 (* x 1/12))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
x |
(+ 1/2 (* x 1/12)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* x 1/12) |
(*.f64 x #s(literal 1/12 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(/ -1 (* x (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24)))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))))) |
-1 |
#s(literal -1 binary64) |
(* x (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))))) |
x |
(+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24)))))) |
(+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))))) |
(* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))) |
(+ 1/2 (* x (+ -1/6 (* x 1/24)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (+ -1/6 (* x 1/24))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(+ -1/6 (* x 1/24)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(* x 1/24) |
(*.f64 x #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(+ (/ (+ (/ 1 (* x (* x x))) 1/8) (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x)))) (* x (+ 1/12 (* -1/720 (* x x))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))) (*.f64 x (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(/ (+ (/ 1 (* x (* x x))) 1/8) (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))) |
(+ (/ 1 (* x (* x x))) 1/8) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) |
(/ 1 (* x (* x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
1/8 |
#s(literal 1/8 binary64) |
(+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) |
(/ 1 (* x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(- 1/4 (/ 1/2 x)) |
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
1/4 |
#s(literal 1/4 binary64) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
(* x (+ 1/12 (* -1/720 (* x x)))) |
(*.f64 x (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(+ 1/12 (* -1/720 (* x x))) |
(-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
1/12 |
#s(literal 1/12 binary64) |
(* -1/720 (* x x)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
-1/720 |
#s(literal -1/720 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 51.6% | (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/12 binary64)) |
| ✓ | accuracy | 86.1% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
| ✓ | accuracy | 100.0% | (/.f64 (exp.f64 x) x) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| 75.0ms | 253× | 0 | valid |
| 4.0ms | 3× | 5 | exit |
Compiled 262 to 40 computations (84.7% saved)
ival-mult: 16.0ms (26.8% of total)ival-div: 15.0ms (25.1% of total)const: 14.0ms (23.4% of total)ival-add: 11.0ms (18.4% of total)ival-exp: 2.0ms (3.3% of total)adjust: 1.0ms (1.7% of total)exact: 1.0ms (1.7% of total)ival-sub: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (exp x) x)> |
#<alt (exp x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x 1/12)))) x)> |
#<alt (+ 1 (* x (+ 1/2 (* x 1/12))))> |
#<alt (* x (+ 1/2 (* x 1/12)))> |
#<alt (+ 1/2 (* x 1/12))> |
#<alt (/ -1 (* x (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))))))> |
#<alt (* x (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24)))))))> |
#<alt (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))))> |
#<alt (* x (+ 1/2 (* x (+ -1/6 (* x 1/24)))))> |
#<alt (+ (/ (+ (/ 1 (* x (* x x))) 1/8) (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x)))) (* x (+ 1/12 (* -1/720 (* x x)))))> |
#<alt (/ (+ (/ 1 (* x (* x x))) 1/8) (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x))))> |
#<alt (+ (/ 1 (* x (* x x))) 1/8)> |
#<alt (/ 1 (* x (* x x)))> |
#<alt (* x 1/12)> |
#<alt (* x 1/24)> |
#<alt (* x (+ -1/6 (* x 1/24)))> |
#<alt (* x (+ 1/12 (* -1/720 (* x x))))> |
#<alt (/ 1 (* x x))> |
| Outputs |
|---|
#<alt (/ 1 x)> |
#<alt (/ (+ 1 x) x)> |
#<alt (/ (+ 1 (* x (+ 1 (* 1/2 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) x)> |
#<alt (/ (exp x) x)> |
#<alt (/ (exp x) x)> |
#<alt (/ (exp x) x)> |
#<alt (/ (exp x) x)> |
#<alt (/ (exp x) x)> |
#<alt (/ (exp x) x)> |
#<alt (/ (exp x) x)> |
#<alt (/ (exp x) x)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* 1/12 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* 1/12 x))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/12 x)))> |
#<alt (* x (+ 1/2 (* 1/12 x)))> |
#<alt (* x (+ 1/2 (* 1/12 x)))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/12 x))> |
#<alt (+ 1/2 (* 1/12 x))> |
#<alt (+ 1/2 (* 1/12 x))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)> |
#<alt (/ -24 (pow x 4))> |
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))> |
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))> |
#<alt (/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))> |
#<alt (/ -24 (pow x 4))> |
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))> |
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))> |
#<alt (/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))> |
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))> |
#<alt -1> |
#<alt (- (* 1/2 x) 1)> |
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)> |
#<alt (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/6 x)))> |
#<alt (* x (+ 1/2 (* x (- (* 1/24 x) 1/6))))> |
#<alt (* x (+ 1/2 (* x (- (* 1/24 x) 1/6))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt 1/2> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt 1/2> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ (+ 1 (* 1/8 (pow x 3))) (pow x 3))> |
#<alt (/ (+ 1 (* 1/8 (pow x 3))) (pow x 3))> |
#<alt (/ (+ 1 (* 1/8 (pow x 3))) (pow x 3))> |
#<alt 1/8> |
#<alt (+ 1/8 (/ 1 (pow x 3)))> |
#<alt (+ 1/8 (/ 1 (pow x 3)))> |
#<alt (+ 1/8 (/ 1 (pow x 3)))> |
#<alt 1/8> |
#<alt (+ 1/8 (/ 1 (pow x 3)))> |
#<alt (+ 1/8 (/ 1 (pow x 3)))> |
#<alt (+ 1/8 (/ 1 (pow x 3)))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ 1 (pow x 3))> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/12 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 1/24 x) 1/6))> |
#<alt (* x (- (* 1/24 x) 1/6))> |
#<alt (* x (- (* 1/24 x) 1/6))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | inf | (* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))) |
| 2.0ms | x | @ | 0 | (/ 1 (* x x)) |
| 2.0ms | x | @ | -inf | (/ (exp x) x) |
| 0.0ms | x | @ | 0 | (/ 1 (* x (* x x))) |
| 0.0ms | x | @ | 0 | (/ (+ (/ 1 (* x (* x x))) 1/8) (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x)))) |
| 1× | batch-egg-rewrite |
| 6 710× | *-lowering-*.f32 |
| 6 710× | *-lowering-*.f64 |
| 4 820× | /-lowering-/.f32 |
| 4 820× | /-lowering-/.f64 |
| 3 274× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 181 |
| 1 | 269 | 167 |
| 2 | 2575 | 167 |
| 0 | 10387 | 146 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp x) x) |
(exp x) |
(/ (+ 1 (* x (+ 1/2 (* x 1/12)))) x) |
(+ 1 (* x (+ 1/2 (* x 1/12)))) |
(* x (+ 1/2 (* x 1/12))) |
(+ 1/2 (* x 1/12)) |
(/ -1 (* x (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24)))))))) |
(* x (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))))) |
(+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24)))))) |
(* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))) |
(+ (/ (+ (/ 1 (* x (* x x))) 1/8) (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x)))) (* x (+ 1/12 (* -1/720 (* x x))))) |
(/ (+ (/ 1 (* x (* x x))) 1/8) (+ (/ 1 (* x x)) (- 1/4 (/ 1/2 x)))) |
(+ (/ 1 (* x (* x x))) 1/8) |
(/ 1 (* x (* x x))) |
(* x 1/12) |
(* x 1/24) |
(* x (+ -1/6 (* x 1/24))) |
(* x (+ 1/12 (* -1/720 (* x x)))) |
(/ 1 (* x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 x (exp.f64 x))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) x)) |
(/.f64 (exp.f64 x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (exp.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (exp.f64 x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
(pow.f64 (/.f64 x (exp.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (exp.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) |
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))) |
(exp.f64 x) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64)))))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) |
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) |
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1/512 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1/64 binary64)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1/512 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64)) (*.f64 x (*.f64 x x))))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1/64 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1/512 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1/64 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64)))) |
(/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64)) #s(literal 1/64 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64)))) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1/512 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1/64 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64)))) |
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(pow.f64 x #s(literal -3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -3/2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))) |
(*.f64 x #s(literal 1/12 binary64)) |
(*.f64 #s(literal 1/12 binary64) x) |
(*.f64 x #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(*.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) x) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/12 binary64)) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/6 binary64))) |
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 #s(literal -1/6 binary64) x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) x (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/6 binary64))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (-.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) x) |
(+.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/12 binary64))) |
(fma.f64 x #s(literal 1/12 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (*.f64 x #s(literal 1/12 binary64))) |
(fma.f64 #s(literal 1/12 binary64) x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/12 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) x (*.f64 x #s(literal 1/12 binary64))) |
(fma.f64 (*.f64 x #s(literal -1/720 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/12 binary64))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/144 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/144 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)))) x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) #s(literal 1/12 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64))) x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) |
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) x) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 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 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| 1× | egg-herbie |
| 11 148× | accelerator-lowering-fma.f32 |
| 11 148× | accelerator-lowering-fma.f64 |
| 4 488× | *-lowering-*.f32 |
| 4 488× | *-lowering-*.f64 |
| 2 858× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 1645 |
| 1 | 555 | 1616 |
| 2 | 1580 | 1551 |
| 3 | 5203 | 1545 |
| 0 | 8176 | 1435 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 x) x) |
(/ (+ 1 (* x (+ 1 (* 1/2 x)))) x) |
(/ (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) x) |
(/ (exp x) x) |
(/ (exp x) x) |
(/ (exp x) x) |
(/ (exp x) x) |
(/ (exp x) x) |
(/ (exp x) x) |
(/ (exp x) x) |
(/ (exp x) x) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/12 x)))) |
(+ 1 (* x (+ 1/2 (* 1/12 x)))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/12 x))) |
(* x (+ 1/2 (* 1/12 x))) |
(* x (+ 1/2 (* 1/12 x))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))) |
1/2 |
(+ 1/2 (* 1/12 x)) |
(+ 1/2 (* 1/12 x)) |
(+ 1/2 (* 1/12 x)) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x) |
(/ -24 (pow x 4)) |
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4))) |
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4)) |
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4)) |
(/ -24 (pow x 4)) |
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4))) |
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4)) |
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4)) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(* 1/24 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/6 x))) |
(* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) |
(* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* 1/24 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* 1/2 x)) x) |
1/2 |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
1/2 |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(/ 1 (pow x 3)) |
(/ (+ 1 (* 1/8 (pow x 3))) (pow x 3)) |
(/ (+ 1 (* 1/8 (pow x 3))) (pow x 3)) |
(/ (+ 1 (* 1/8 (pow x 3))) (pow x 3)) |
1/8 |
(+ 1/8 (/ 1 (pow x 3))) |
(+ 1/8 (/ 1 (pow x 3))) |
(+ 1/8 (/ 1 (pow x 3))) |
1/8 |
(+ 1/8 (/ 1 (pow x 3))) |
(+ 1/8 (/ 1 (pow x 3))) |
(+ 1/8 (/ 1 (pow x 3))) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* -1/6 x) |
(* x (- (* 1/24 x) 1/6)) |
(* x (- (* 1/24 x) 1/6)) |
(* x (- (* 1/24 x) 1/6)) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* 1/12 x) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 x) x) |
(/.f64 (+.f64 #s(literal 1 binary64) x) x) |
(/ (+ 1 (* x (+ 1 (* 1/2 x)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) x) |
(/ (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) x) |
(/ (exp x) x) |
(/.f64 (exp.f64 x) x) |
(/ (exp x) x) |
(/.f64 (exp.f64 x) x) |
(/ (exp x) x) |
(/.f64 (exp.f64 x) x) |
(/ (exp x) x) |
(/.f64 (exp.f64 x) x) |
(/ (exp x) x) |
(/.f64 (exp.f64 x) x) |
(/ (exp x) x) |
(/.f64 (exp.f64 x) x) |
(/ (exp x) x) |
(/.f64 (exp.f64 x) x) |
(/ (exp x) x) |
(/.f64 (exp.f64 x) 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 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(+.f64 (*.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(+.f64 (*.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1 (* x (+ 1/2 (* 1/12 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(+ 1 (* x (+ 1/2 (* 1/12 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(* 1/12 (pow x 2)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(* 1/12 (pow x 2)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/12 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* x (+ 1/2 (* 1/12 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* x (+ 1/2 (* 1/12 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* 1/12 (pow x 2)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* 1/12 (pow x 2)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/12 x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(+ 1/2 (* 1/12 x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(+ 1/2 (* 1/12 x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/144 binary64))))))) x) |
(/ -24 (pow x 4)) |
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4)) |
(/.f64 (-.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal 96 binary64) (/.f64 #s(literal 96 binary64) x)) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4)) |
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) x) x) (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x))) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/ -24 (pow x 4)) |
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4)) |
(/.f64 (-.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal 96 binary64) (/.f64 #s(literal 96 binary64) x)) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4)) |
(/.f64 (-.f64 #s(literal -24 binary64) (/.f64 (-.f64 #s(literal 96 binary64) (/.f64 (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) x)) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(* 1/24 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/24 binary64)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x))) |
(* 1/24 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/24 binary64)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) |
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x)))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/6 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) |
(* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))) x) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (*.f64 x #s(literal -1/720 binary64)))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -1/720 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 1 (* 1/8 (pow x 3))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)))) (*.f64 x (*.f64 x x))) |
(/ (+ 1 (* 1/8 (pow x 3))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)))) (*.f64 x (*.f64 x x))) |
(/ (+ 1 (* 1/8 (pow x 3))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)))) (*.f64 x (*.f64 x x))) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (/ 1 (pow x 3))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) |
(+ 1/8 (/ 1 (pow x 3))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) |
(+ 1/8 (/ 1 (pow x 3))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (/ 1 (pow x 3))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) |
(+ 1/8 (/ 1 (pow x 3))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) |
(+ 1/8 (/ 1 (pow x 3))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* x (- (* 1/24 x) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* x (- (* 1/24 x) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* x (- (* 1/24 x) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/12 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)) |
(/ 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)) |
(/ 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)) |
(/ 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)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
Compiled 32 228 to 2 177 computations (93.2% saved)
26 alts after pruning (17 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 735 | 17 | 752 |
| Fresh | 3 | 0 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 739 | 26 | 765 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.8% | (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
| 88.8% | (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) | |
| ✓ | 67.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
| ▶ | 67.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
| 22.2% | (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) | |
| ✓ | 98.9% | (/.f64 (exp.f64 x) x) |
| 88.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal -1 binary64) x))) | |
| ✓ | 67.8% | (/.f64 #s(literal 1 binary64) x) |
| 39.0% | (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) | |
| 19.7% | (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))))) | |
| 71.8% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) | |
| 70.8% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))))) | |
| 74.6% | (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) | |
| ▶ | 34.3% | (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))))) |
| 88.8% | (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) | |
| ▶ | 73.9% | (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))))))) |
| 24.0% | (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) | |
| ✓ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| 24.0% | (/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) | |
| ✓ | 17.3% | (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
| ▶ | 67.5% | (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
| 6.3% | (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) | |
| ✓ | 67.5% | (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 67.5% | (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | 67.5% | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
| ✓ | 3.2% | #s(literal 1/2 binary64) |
Compiled 1 321 to 643 computations (51.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 256 | (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
| ✓ | cost-diff | 384 | (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
| ✓ | cost-diff | 384 | (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) |
| ✓ | cost-diff | 512 | (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))))))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
| 10 834× | accelerator-lowering-fma.f32 |
| 10 834× | accelerator-lowering-fma.f64 |
| 4 706× | *-lowering-*.f32 |
| 4 706× | *-lowering-*.f64 |
| 1 634× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 654 |
| 1 | 174 | 644 |
| 2 | 484 | 600 |
| 3 | 1090 | 598 |
| 4 | 2071 | 598 |
| 5 | 4294 | 598 |
| 6 | 5835 | 598 |
| 0 | 8188 | 512 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ -1 (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))))) x) |
(/ -1 (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))))) |
-1 |
(+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24)))))) |
(* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))) |
x |
(+ 1/2 (* x (+ -1/6 (* x 1/24)))) |
1/2 |
(* x (+ -1/6 (* x 1/24))) |
(+ -1/6 (* x 1/24)) |
-1/6 |
(* x 1/24) |
1/24 |
(/ (+ 1 (* x 1/2)) x) |
(+ 1 (* x 1/2)) |
1 |
(* x 1/2) |
x |
1/2 |
(+ (/ (+ 1 (* x 1/2)) x) (* x (+ 1/12 (* -1/720 (* x x))))) |
(/ (+ 1 (* x 1/2)) x) |
(+ 1 (* x 1/2)) |
1 |
(* x 1/2) |
x |
1/2 |
(* x (+ 1/12 (* -1/720 (* x x)))) |
(+ 1/12 (* -1/720 (* x x))) |
1/12 |
(* -1/720 (* x x)) |
-1/720 |
(* x x) |
(/ -1 (* x (+ -1 (* x (+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6))))))))) |
-1 |
(* x (+ -1 (* x (+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6)))))))) |
x |
(+ -1 (* x (+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6))))))) |
(* x (+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6)))))) |
(+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6))))) |
1/2 |
(/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6)))) |
(* (+ -1/216 (* (* x (* x x)) 1/13824)) x) |
(+ -1/216 (* (* x (* x x)) 1/13824)) |
-1/216 |
(* (* x (* x x)) 1/13824) |
(* x (* x x)) |
(* x x) |
1/13824 |
(+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6))) |
1/36 |
(* (* x 1/24) (- (* x 1/24) -1/6)) |
(* x 1/24) |
1/24 |
(- (* x 1/24) -1/6) |
-1/6 |
(/ -1 (* x (+ -1 (* x (+ 1/2 (/ (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24))))))))))) |
-1 |
(* x (+ -1 (* x (+ 1/2 (/ (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24)))))))))) |
x |
(+ -1 (* x (+ 1/2 (/ (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24))))))))) |
(* x (+ 1/2 (/ (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24)))))))) |
(+ 1/2 (/ (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24))))))) |
1/2 |
(/ (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24)))))) |
(+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) |
(* (* x (* x x)) -1/216) |
(* x (* x x)) |
(* x x) |
-1/216 |
(* (* x (* x x)) (* (* x (* x x)) 1/13824)) |
(* (* x (* x x)) 1/13824) |
1/13824 |
(+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24))))) |
(* (* x -1/6) (* x -1/6)) |
(* x -1/6) |
-1/6 |
(- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24)))) |
(* (* x (* x 1/24)) (* x (* x 1/24))) |
(* x (* x 1/24)) |
(* x 1/24) |
1/24 |
(* (* x -1/6) (* x (* x 1/24))) |
| Outputs |
|---|
(/ (/ -1 (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/ -1 (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
-1 |
#s(literal -1 binary64) |
(+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24)))))) |
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
(* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
x |
(+ 1/2 (* x (+ -1/6 (* x 1/24)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (+ -1/6 (* x 1/24))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(+ -1/6 (* x 1/24)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(* x 1/24) |
(*.f64 x #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(/ (+ 1 (* x 1/2)) x) |
(/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(+ 1 (* x 1/2)) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
(+ (/ (+ 1 (* x 1/2)) x) (* x (+ 1/12 (* -1/720 (* x x))))) |
(+.f64 (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/ (+ 1 (* x 1/2)) x) |
(/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(+ 1 (* x 1/2)) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
(* x (+ 1/12 (* -1/720 (* x x)))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) |
(+ 1/12 (* -1/720 (* x x))) |
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
1/12 |
#s(literal 1/12 binary64) |
(* -1/720 (* x x)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
-1/720 |
#s(literal -1/720 binary64) |
(* x x) |
(*.f64 x x) |
(/ -1 (* x (+ -1 (* x (+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))))))) |
-1 |
#s(literal -1 binary64) |
(* x (+ -1 (* x (+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6)))))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))))))) |
x |
(+ -1 (* x (+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6))))))) |
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))))) |
(* x (+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))))) |
(+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))) |
1/2 |
#s(literal 1/2 binary64) |
(/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6)))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))) |
(* (+ -1/216 (* (* x (* x x)) 1/13824)) x) |
(*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) |
(+ -1/216 (* (* x (* x x)) 1/13824)) |
(+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) |
-1/216 |
#s(literal -1/216 binary64) |
(* (* x (* x x)) 1/13824) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
1/13824 |
#s(literal 1/13824 binary64) |
(+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6))) |
(+.f64 #s(literal 1/36 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))) |
1/36 |
#s(literal 1/36 binary64) |
(* (* x 1/24) (- (* x 1/24) -1/6)) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) |
(* x 1/24) |
(*.f64 x #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(- (* x 1/24) -1/6) |
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(/ -1 (* x (+ -1 (* x (+ 1/2 (/ (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24))))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))))))) |
-1 |
#s(literal -1 binary64) |
(* x (+ -1 (* x (+ 1/2 (/ (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24)))))))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))))))) |
x |
(+ -1 (* x (+ 1/2 (/ (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24))))))))) |
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))))) |
(* x (+ 1/2 (/ (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24)))))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))))) |
(+ 1/2 (/ (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24))))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64)))))) |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24)))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))) |
(+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))) |
(* (* x (* x x)) -1/216) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/216 binary64)))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
-1/216 |
#s(literal -1/216 binary64) |
(* (* x (* x x)) (* (* x (* x x)) 1/13824)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))) |
(* (* x (* x x)) 1/13824) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) |
1/13824 |
#s(literal 1/13824 binary64) |
(+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))))) |
(* (* x -1/6) (* x -1/6)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* x -1/6) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/144 binary64))) |
(* (* x (* x 1/24)) (* x (* x 1/24))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/576 binary64))) |
(* x (* x 1/24)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* x 1/24) |
(*.f64 x #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(* (* x -1/6) (* x (* x 1/24))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/144 binary64)))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 84.4% | (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) |
| ✓ | accuracy | 30.5% | (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) |
| ✓ | accuracy | 99.5% | (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 81.5% | (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| 118.0ms | 254× | 0 | valid |
| 22.0ms | 1× | 5 | exit |
| 1.0ms | 1× | 3 | valid |
Compiled 892 to 58 computations (93.5% saved)
ival-mult: 33.0ms (39.1% of total)const: 22.0ms (26% of total)ival-add: 15.0ms (17.8% of total)ival-div: 12.0ms (14.2% of total)ival-sub: 2.0ms (2.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ -1 (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))))) x)> |
#<alt (/ -1 (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24)))))))> |
#<alt (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))))> |
#<alt (* x (+ 1/2 (* x (+ -1/6 (* x 1/24)))))> |
#<alt (/ (+ 1 (* x 1/2)) x)> |
#<alt (+ 1 (* x 1/2))> |
#<alt (* x 1/2)> |
#<alt (+ (/ (+ 1 (* x 1/2)) x) (* x (+ 1/12 (* -1/720 (* x x)))))> |
#<alt (* (* x 1/24) (- (* x 1/24) -1/6))> |
#<alt (/ -1 (* x (+ -1 (* x (+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6)))))))))> |
#<alt (* x (+ -1 (* x (+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6))))))))> |
#<alt (+ -1 (* x (+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6)))))))> |
#<alt (/ (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24))))))> |
#<alt (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824)))> |
#<alt (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24))))> |
#<alt (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24)))))> |
#<alt (* x 1/24)> |
#<alt (* x (+ -1/6 (* x 1/24)))> |
#<alt (* x (+ 1/12 (* -1/720 (* x x))))> |
#<alt (* -1/720 (* x x))> |
#<alt (+ 1/12 (* -1/720 (* x x)))> |
#<alt (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6))))> |
#<alt (* (+ -1/216 (* (* x (* x x)) 1/13824)) x)> |
#<alt (* x -1/6)> |
| Outputs |
|---|
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)> |
#<alt (/ -24 (pow x 4))> |
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))> |
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))> |
#<alt (/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))> |
#<alt (/ -24 (pow x 4))> |
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))> |
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))> |
#<alt (/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* 1/12 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2)))))))> |
#<alt (/ -24 (pow x 3))> |
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 3)))> |
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 3))> |
#<alt (/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 3))> |
#<alt (/ -24 (pow x 3))> |
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 3)))> |
#<alt (* -1 (/ (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 24 (* -1 (/ (- (* -1 (/ (- 96 (* 192 (/ 1 x))) x)) 96) x))) (pow x 3)))> |
#<alt -1> |
#<alt (- (* 1/2 x) 1)> |
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)> |
#<alt (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/6 x)))> |
#<alt (* x (+ 1/2 (* x (- (* 1/24 x) 1/6))))> |
#<alt (* x (+ 1/2 (* x (- (* 1/24 x) 1/6))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt 1/2> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt 1/2> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 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 (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* 1/144 x)> |
#<alt (* x (+ 1/144 (* 1/576 x)))> |
#<alt (* x (+ 1/144 (* 1/576 x)))> |
#<alt (* x (+ 1/144 (* 1/576 x)))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x))))> |
#<alt (* 1/576 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)> |
#<alt (/ -24 (pow x 4))> |
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))> |
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))> |
#<alt (/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))> |
#<alt (/ -24 (pow x 4))> |
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))> |
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))> |
#<alt (/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))> |
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))> |
#<alt -1> |
#<alt (- (* 1/2 x) 1)> |
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)> |
#<alt (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 1/24 x) 1/6))> |
#<alt (* x (- (* 1/24 x) 1/6))> |
#<alt (* x (- (* 1/24 x) 1/6))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* -1/216 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/13824 (pow x 3)) 1/216))> |
#<alt (* (pow x 3) (- (* 1/13824 (pow x 3)) 1/216))> |
#<alt (* (pow x 3) (- (* 1/13824 (pow x 3)) 1/216))> |
#<alt (* 1/13824 (pow x 6))> |
#<alt (* (pow x 6) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 6) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 6) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))> |
#<alt (* 1/13824 (pow x 6))> |
#<alt (* (pow x 6) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 6) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 6) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))> |
#<alt (* 1/144 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/144 (* 1/576 x)))> |
#<alt (* (pow x 3) (+ 1/144 (* 1/576 x)))> |
#<alt (* (pow x 3) (+ 1/144 (* 1/576 x)))> |
#<alt (* 1/576 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/576 (* 1/144 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/576 (* 1/144 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/576 (* 1/144 (/ 1 x))))> |
#<alt (* 1/576 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/576 (* 1/144 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/576 (* 1/144 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/576 (* 1/144 (/ 1 x))))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/36 (* 1/144 x)))> |
#<alt (* (pow x 2) (+ 1/36 (* x (+ 1/144 (* 1/576 x)))))> |
#<alt (* (pow x 2) (+ 1/36 (* x (+ 1/144 (* 1/576 x)))))> |
#<alt (* 1/576 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/576 (* 1/144 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x)))))> |
#<alt (* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x)))))> |
#<alt (* 1/576 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/576 (* 1/144 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x)))))> |
#<alt (* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x)))))> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 1/24 x) 1/6))> |
#<alt (* x (- (* 1/24 x) 1/6))> |
#<alt (* x (- (* 1/24 x) 1/6))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt 1/12> |
#<alt (+ 1/12 (* -1/720 (pow x 2)))> |
#<alt (+ 1/12 (* -1/720 (pow x 2)))> |
#<alt (+ 1/12 (* -1/720 (pow x 2)))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 1/24 x) 1/6))> |
#<alt (* x (- (* 1/24 x) 1/6))> |
#<alt (* x (- (* 1/24 x) 1/6))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* -1/216 x)> |
#<alt (* x (- (* 1/13824 (pow x 3)) 1/216))> |
#<alt (* x (- (* 1/13824 (pow x 3)) 1/216))> |
#<alt (* x (- (* 1/13824 (pow x 3)) 1/216))> |
#<alt (* 1/13824 (pow x 4))> |
#<alt (* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))> |
#<alt (* 1/13824 (pow x 4))> |
#<alt (* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))> |
#<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)> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/ (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24)))))) |
| 1.0ms | x | @ | inf | (/ (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24)))))) |
| 0.0ms | x | @ | inf | (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6)))) |
| 0.0ms | x | @ | inf | (/ -1 (* x (+ -1 (* x (+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6))))))))) |
| 0.0ms | x | @ | -inf | (* (* x 1/24) (- (* x 1/24) -1/6)) |
| 1× | batch-egg-rewrite |
| 5 334× | *-lowering-*.f32 |
| 5 334× | *-lowering-*.f64 |
| 4 352× | accelerator-lowering-fma.f32 |
| 4 352× | accelerator-lowering-fma.f64 |
| 2 736× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 338 |
| 1 | 363 | 314 |
| 2 | 3432 | 242 |
| 0 | 8404 | 206 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ -1 (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))))) x) |
(/ -1 (+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))))) |
(+ -1 (* x (+ 1/2 (* x (+ -1/6 (* x 1/24)))))) |
(* x (+ 1/2 (* x (+ -1/6 (* x 1/24))))) |
(/ (+ 1 (* x 1/2)) x) |
(+ 1 (* x 1/2)) |
(* x 1/2) |
(+ (/ (+ 1 (* x 1/2)) x) (* x (+ 1/12 (* -1/720 (* x x))))) |
(* (* x 1/24) (- (* x 1/24) -1/6)) |
(/ -1 (* x (+ -1 (* x (+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6))))))))) |
(* x (+ -1 (* x (+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6)))))))) |
(+ -1 (* x (+ 1/2 (/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6))))))) |
(/ (+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24)))))) |
(+ (* (* x (* x x)) -1/216) (* (* x (* x x)) (* (* x (* x x)) 1/13824))) |
(- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24)))) |
(+ (* (* x -1/6) (* x -1/6)) (- (* (* x (* x 1/24)) (* x (* x 1/24))) (* (* x -1/6) (* x (* x 1/24))))) |
(* x 1/24) |
(* x (+ -1/6 (* x 1/24))) |
(* x (+ 1/12 (* -1/720 (* x x)))) |
(* -1/720 (* x x)) |
(+ 1/12 (* -1/720 (* x x))) |
(/ (* (+ -1/216 (* (* x (* x x)) 1/13824)) x) (+ 1/36 (* (* x 1/24) (- (* x 1/24) -1/6)))) |
(* (+ -1/216 (* (* x (* x x)) 1/13824)) x) |
(* x -1/6) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) #s(literal -1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) #s(literal 1 binary64)) x) |
(pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) #s(literal -1 binary64)) x) #s(literal -1 binary64)) |
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(*.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/36 binary64)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))) |
(*.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) #s(literal -1/36 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/36 binary64))) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/36 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/36 binary64))) (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) |
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) (+.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/36 binary64))))) |
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) (-.f64 #s(literal 1/1296 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) (+.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))))) (+.f64 (*.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))) (*.f64 x (*.f64 #s(literal 1/36 binary64) x)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) (-.f64 (*.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))) (-.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/10077696 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 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/2641807540224 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x x))))))) |
(+.f64 (*.f64 x #s(literal -1/216 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))) (*.f64 x #s(literal -1/216 binary64))) |
(+.f64 (*.f64 #s(literal -1/216 binary64) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) x)) |
(+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) x) (*.f64 #s(literal -1/216 binary64) x)) |
(fma.f64 x #s(literal -1/216 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) (*.f64 x #s(literal -1/216 binary64))) |
(fma.f64 #s(literal -1/216 binary64) x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) x)) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) x (*.f64 #s(literal -1/216 binary64) x)) |
(/.f64 (*.f64 (+.f64 #s(literal -1/10077696 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/2641807540224 binary64)))) x) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 1/216 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/191102976 binary64))) x) (+.f64 #s(literal -1/216 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1/10077696 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/2641807540224 binary64))))) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 1/216 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/191102976 binary64)))) (+.f64 #s(literal -1/216 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) |
(*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) x) |
| 1× | egg-herbie |
| 8 014× | accelerator-lowering-fma.f32 |
| 8 014× | accelerator-lowering-fma.f64 |
| 4 412× | *-lowering-*.f32 |
| 4 412× | *-lowering-*.f64 |
| 2 122× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 222 | 2291 |
| 1 | 640 | 2257 |
| 2 | 1869 | 2233 |
| 3 | 5409 | 2157 |
| 0 | 8295 | 2025 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x) |
(/ -24 (pow x 4)) |
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4))) |
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4)) |
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4)) |
(/ -24 (pow x 4)) |
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4))) |
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4)) |
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/12 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) |
(/ -24 (pow x 3)) |
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 3))) |
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 3)) |
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 3)) |
(/ -24 (pow x 3)) |
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 24 (* -1 (/ (- (* -1 (/ (- 96 (* 192 (/ 1 x))) x)) 96) x))) (pow x 3))) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(* 1/24 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/6 x))) |
(* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) |
(* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* 1/24 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* 1/2 x)) x) |
1/2 |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
1/2 |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 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) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(* 1/144 x) |
(* x (+ 1/144 (* 1/576 x))) |
(* x (+ 1/144 (* 1/576 x))) |
(* x (+ 1/144 (* 1/576 x))) |
(* 1/576 (pow x 2)) |
(* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x)))) |
(* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x)))) |
(* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x)))) |
(* 1/576 (pow x 2)) |
(* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x)))) |
(* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x)))) |
(* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x)))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x) |
(/ -24 (pow x 4)) |
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4))) |
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4)) |
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4)) |
(/ -24 (pow x 4)) |
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4))) |
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4)) |
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4)) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(* 1/24 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))) |
(* -1/6 x) |
(* x (- (* 1/24 x) 1/6)) |
(* x (- (* 1/24 x) 1/6)) |
(* x (- (* 1/24 x) 1/6)) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* -1/216 (pow x 3)) |
(* (pow x 3) (- (* 1/13824 (pow x 3)) 1/216)) |
(* (pow x 3) (- (* 1/13824 (pow x 3)) 1/216)) |
(* (pow x 3) (- (* 1/13824 (pow x 3)) 1/216)) |
(* 1/13824 (pow x 6)) |
(* (pow x 6) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(* (pow x 6) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(* (pow x 6) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(* 1/13824 (pow x 6)) |
(* (pow x 6) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(* (pow x 6) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(* (pow x 6) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(* 1/144 (pow x 3)) |
(* (pow x 3) (+ 1/144 (* 1/576 x))) |
(* (pow x 3) (+ 1/144 (* 1/576 x))) |
(* (pow x 3) (+ 1/144 (* 1/576 x))) |
(* 1/576 (pow x 4)) |
(* (pow x 4) (+ 1/576 (* 1/144 (/ 1 x)))) |
(* (pow x 4) (+ 1/576 (* 1/144 (/ 1 x)))) |
(* (pow x 4) (+ 1/576 (* 1/144 (/ 1 x)))) |
(* 1/576 (pow x 4)) |
(* (pow x 4) (+ 1/576 (* 1/144 (/ 1 x)))) |
(* (pow x 4) (+ 1/576 (* 1/144 (/ 1 x)))) |
(* (pow x 4) (+ 1/576 (* 1/144 (/ 1 x)))) |
(* 1/36 (pow x 2)) |
(* (pow x 2) (+ 1/36 (* 1/144 x))) |
(* (pow x 2) (+ 1/36 (* x (+ 1/144 (* 1/576 x))))) |
(* (pow x 2) (+ 1/36 (* x (+ 1/144 (* 1/576 x))))) |
(* 1/576 (pow x 4)) |
(* (pow x 4) (+ 1/576 (* 1/144 (/ 1 x)))) |
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x))))) |
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x))))) |
(* 1/576 (pow x 4)) |
(* (pow x 4) (+ 1/576 (* 1/144 (/ 1 x)))) |
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x))))) |
(* (pow x 4) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x))))) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* -1/6 x) |
(* x (- (* 1/24 x) 1/6)) |
(* x (- (* 1/24 x) 1/6)) |
(* x (- (* 1/24 x) 1/6)) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* 1/12 x) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
1/12 |
(+ 1/12 (* -1/720 (pow x 2))) |
(+ 1/12 (* -1/720 (pow x 2))) |
(+ 1/12 (* -1/720 (pow x 2))) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* -1/6 x) |
(* x (- (* 1/24 x) 1/6)) |
(* x (- (* 1/24 x) 1/6)) |
(* x (- (* 1/24 x) 1/6)) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* -1/216 x) |
(* x (- (* 1/13824 (pow x 3)) 1/216)) |
(* x (- (* 1/13824 (pow x 3)) 1/216)) |
(* x (- (* 1/13824 (pow x 3)) 1/216)) |
(* 1/13824 (pow x 4)) |
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(* 1/13824 (pow x 4)) |
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(* -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) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/144 binary64) (*.f64 x x))))))) x) |
(/ -24 (pow x 4)) |
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4)) |
(/.f64 (-.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal 96 binary64) (/.f64 #s(literal 96 binary64) x)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4)) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) x) #s(literal -96 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -24 (pow x 4)) |
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4)) |
(/.f64 (-.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal 96 binary64) (/.f64 #s(literal 96 binary64) x)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4)) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) x) #s(literal -96 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1 (* x (+ 1/2 (* 1/12 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/144 binary64) (*.f64 x x))))))) |
(/ -24 (pow x 3)) |
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 3)) |
(/.f64 (-.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal 96 binary64) (/.f64 #s(literal 96 binary64) x)) x)) (*.f64 x (*.f64 x x))) |
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 3)) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) x) #s(literal -96 binary64)) x)) (*.f64 x (*.f64 x x))) |
(/ -24 (pow x 3)) |
(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2)))) (pow x 3))) |
(/.f64 (+.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (/.f64 #s(literal -96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 24 (* -1 (/ (- (* -1 (/ (- 96 (* 192 (/ 1 x))) x)) 96) x))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) x) #s(literal -96 binary64)) x)) (*.f64 x (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) |
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
(* 1/24 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))) |
(* 1/24 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/6 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) |
(* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(* 1/24 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) |
(* 1/24 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(* x (+ 1/2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(* x (+ 1/2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(* x (+ 1/2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(* x (+ 1/2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))) x) |
(* -1/720 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))))) |
(* -1/720 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (*.f64 x #s(literal -1/720 binary64)))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(* 1/144 x) |
(*.f64 x #s(literal 1/144 binary64)) |
(* x (+ 1/144 (* 1/576 x))) |
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(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(* -1/720 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* -1/720 (pow x 2))) |
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(+ 1/12 (* -1/720 (pow x 2))) |
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(+ 1/12 (* -1/720 (pow x 2))) |
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* x (- (* 1/24 x) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* x (- (* 1/24 x) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* x (- (* 1/24 x) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* -1/216 x) |
(*.f64 x #s(literal -1/216 binary64)) |
(* x (- (* 1/13824 (pow x 3)) 1/216)) |
(*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) |
(* x (- (* 1/13824 (pow x 3)) 1/216)) |
(*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) |
(* x (- (* 1/13824 (pow x 3)) 1/216)) |
(*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) |
(* 1/13824 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))) |
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x))))) |
(* 1/13824 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))) |
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x))))) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
Compiled 56 689 to 4 290 computations (92.4% saved)
29 alts after pruning (18 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 323 | 12 | 1 335 |
| Fresh | 6 | 6 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 9 | 9 |
| Total | 1 332 | 29 | 1 361 |
| Status | Accuracy | Program |
|---|---|---|
| 22.2% | (/.f64 (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) x) | |
| 88.8% | (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) | |
| 68.9% | (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/10077696 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/2641807540224 binary64)))) x) (*.f64 (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 1/216 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/36 binary64)))))))) x) | |
| 11.0% | (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x x))))))))))) x) | |
| 88.8% | (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) x) | |
| 88.5% | (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) | |
| 88.8% | (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) | |
| 24.0% | (/.f64 (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) x) | |
| ✓ | 67.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
| ✓ | 67.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
| ✓ | 98.9% | (/.f64 (exp.f64 x) x) |
| 88.8% | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) | |
| ✓ | 67.8% | (/.f64 #s(literal 1 binary64) x) |
| 39.0% | (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) | |
| 71.8% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) | |
| 41.0% | (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))))) | |
| 88.8% | (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) | |
| 89.6% | (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))))) | |
| 24.0% | (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))) | |
| 24.0% | (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) | |
| ✓ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| 24.0% | (/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) | |
| ✓ | 17.3% | (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
| ✓ | 67.5% | (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
| 6.3% | (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) | |
| ✓ | 67.5% | (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 67.5% | (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | 67.5% | (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
| ✓ | 3.2% | #s(literal 1/2 binary64) |
Compiled 1 805 to 660 computations (63.4% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) x) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/10077696 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/2641807540224 binary64)))) x) (*.f64 (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 1/216 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/36 binary64)))))))) x) |
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x x))))))))))) x) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))))) |
(/.f64 (exp.f64 x) x) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
3 calls:
| 13.0ms | x |
| 10.0ms | (exp.f64 x) |
| 9.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 100.0% | 1 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) x) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/10077696 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/2641807540224 binary64)))) x) (*.f64 (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 1/216 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/36 binary64)))))))) x) |
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x x))))))))))) x) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))))) |
(/.f64 (exp.f64 x) x) |
| Outputs |
|---|
(/.f64 (exp.f64 x) x) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) x) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/10077696 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/2641807540224 binary64)))) x) (*.f64 (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 1/216 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/36 binary64)))))))) x) |
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/216 binary64) (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x x))))))))))) x) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) x) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/10077696 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/2641807540224 binary64)))) x) (*.f64 (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 1/216 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/36 binary64)))))))) x) |
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
| Outputs |
|---|
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/10077696 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/2641807540224 binary64)))) x) (*.f64 (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 1/216 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/36 binary64)))))))) x) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) x) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))))) |
| Outputs |
|---|
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.3% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) x) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
| Outputs |
|---|
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) x) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) x) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) x) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) x) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) x) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) x) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
| Outputs |
|---|
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | -1.1005076050937557e+53 | -3.131914790235168e+51 |
| 4.0ms | 112× | 0 | valid |
Compiled 711 to 316 computations (55.6% saved)
ival-div: 1.0ms (42.7% of total)ival-exp: 1.0ms (42.7% of total)ival-expm1: 1.0ms (42.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | -8.93925847140795e+40 | -2.2977839972016865e+39 |
| 6.0ms | -4.179212081735186e+83 | -3.7334569088375314e+71 |
| 4.0ms | 112× | 0 | valid |
Compiled 571 to 248 computations (56.6% saved)
ival-div: 1.0ms (44.7% of total)ival-exp: 1.0ms (44.7% of total)ival-expm1: 1.0ms (44.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -8.83966966358298e-7 | -2.999404355469953e-12 |
| 6.0ms | -4.179212081735186e+83 | -3.7334569088375314e+71 |
| 4.0ms | 96× | 0 | valid |
Compiled 403 to 171 computations (57.6% saved)
ival-div: 1.0ms (48.3% of total)ival-exp: 1.0ms (48.3% of total)ival-expm1: 1.0ms (48.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.253179066331519e+106 | -8.800413316234283e+97 |
| 1.0ms | 16× | 0 | valid |
Compiled 67 to 35 computations (47.8% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-expm1: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -52882.13442384097 | -8.83966966358298e-7 |
| 7.0ms | 160× | 0 | valid |
Compiled 331 to 238 computations (28.1% saved)
ival-exp: 2.0ms (44.3% of total)ival-div: 1.0ms (22.2% of total)ival-expm1: 1.0ms (22.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | -52882.13442384097 | -8.83966966358298e-7 |
| 8.0ms | 160× | 0 | valid |
Compiled 291 to 208 computations (28.5% saved)
ival-exp: 2.0ms (44.7% of total)ival-div: 1.0ms (22.4% of total)ival-expm1: 1.0ms (22.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -52882.13442384097 | -8.83966966358298e-7 |
| 7.0ms | 160× | 0 | valid |
Compiled 251 to 178 computations (29.1% saved)
ival-exp: 2.0ms (45.2% of total)ival-div: 1.0ms (22.6% of total)ival-expm1: 1.0ms (22.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -52882.13442384097 | -8.83966966358298e-7 |
| 9.0ms | 160× | 0 | valid |
Compiled 231 to 168 computations (27.3% saved)
ival-exp: 4.0ms (62.3% of total)ival-div: 1.0ms (15.6% of total)ival-expm1: 1.0ms (15.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 990× | distribute-lft-neg-in_binary64 |
| 576× | neg-mul-1_binary64 |
| 534× | neg-sub0_binary64 |
| 402× | cancel-sign-sub_binary64 |
| 396× | distribute-neg-in_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 567 |
| 1 | 232 | 567 |
| 2 | 275 | 567 |
| 3 | 310 | 567 |
| 4 | 337 | 567 |
| 5 | 364 | 565 |
| 6 | 393 | 565 |
| 7 | 433 | 565 |
| 8 | 483 | 565 |
| 9 | 549 | 565 |
| 10 | 785 | 565 |
| 11 | 1213 | 565 |
| 12 | 1732 | 565 |
| 13 | 2347 | 565 |
| 14 | 2766 | 565 |
| 15 | 2956 | 565 |
| 16 | 3016 | 565 |
| 17 | 3047 | 565 |
| 18 | 3048 | 565 |
| 19 | 3064 | 565 |
| 20 | 3064 | 565 |
| 21 | 3073 | 565 |
| 22 | 3075 | 565 |
| 23 | 3075 | 565 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/.f64 (exp.f64 x) x) |
(if (<=.f64 x #s(literal -6799999999999999688056851828675895659178205349150720 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))))) |
(if (<=.f64 x #s(literal -199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (if (<=.f64 x #s(literal -10000000000000000303786028427003666890752 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/10077696 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/2641807540224 binary64)))) x) (*.f64 (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 1/216 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/36 binary64)))))))) x))) |
(if (<=.f64 x #s(literal -199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (if (<=.f64 x #s(literal -4722366482869645/9444732965739290427392 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))))) |
(if (<=.f64 x #s(literal -10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) |
(if (<=.f64 x #s(literal -4447304632028365/1125899906842624 binary64)) (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)) |
(if (<=.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)) |
(if (<=.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (exp.f64 x) x) |
(if (<=.f64 x #s(literal -6799999999999999688056851828675895659178205349150720 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))))) |
(if (<=.f64 x #s(literal -6799999999999999688056851828675895659178205349150720 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (if (<=.f64 x #s(literal -10000000000000000303786028427003666890752 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/10077696 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/2641807540224 binary64)))) x) (*.f64 (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 1/216 binary64)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/36 binary64)))))))) x))) |
(if (<=.f64 x #s(literal -199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (if (<=.f64 x #s(literal -10000000000000000303786028427003666890752 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) (*.f64 x x)) (+.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/10077696 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/2641807540224 binary64))))) (*.f64 (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))))))) x))) |
(if (<=.f64 x #s(literal -199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (if (<=.f64 x #s(literal -4722366482869645/9444732965739290427392 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))))) |
(if (<=.f64 x #s(literal -199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (if (<=.f64 x #s(literal -4722366482869645/9444732965739290427392 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) (*.f64 x x)) (+.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))) |
(if (<=.f64 x #s(literal -10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) |
(if (<=.f64 x #s(literal -10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) x) |
(if (<=.f64 x #s(literal -4447304632028365/1125899906842624 binary64)) (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal -4447304632028365/1125899906842624 binary64)) (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)) |
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)) |
(if (<=.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1/2 binary64) |
| 11 148× | accelerator-lowering-fma.f32 |
| 11 148× | accelerator-lowering-fma.f64 |
| 10 384× | accelerator-lowering-fma.f32 |
| 10 384× | accelerator-lowering-fma.f64 |
| 8 646× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 903 |
| 1 | 247 | 902 |
| 2 | 690 | 864 |
| 3 | 2088 | 833 |
| 4 | 6087 | 795 |
| 0 | 8271 | 701 |
| 0 | 5 | 13 |
| 1 | 30 | 13 |
| 2 | 185 | 13 |
| 3 | 1803 | 13 |
| 0 | 8778 | 9 |
| 0 | 44 | 202 |
| 1 | 122 | 202 |
| 2 | 258 | 202 |
| 3 | 575 | 202 |
| 4 | 829 | 202 |
| 5 | 975 | 202 |
| 6 | 1002 | 202 |
| 7 | 1096 | 196 |
| 8 | 1517 | 196 |
| 9 | 1960 | 196 |
| 10 | 3361 | 196 |
| 11 | 4922 | 196 |
| 12 | 5211 | 196 |
| 13 | 5590 | 196 |
| 14 | 6120 | 196 |
| 15 | 6868 | 196 |
| 0 | 10202 | 150 |
| 0 | 51 | 338 |
| 1 | 363 | 314 |
| 2 | 3432 | 242 |
| 0 | 8404 | 206 |
| 0 | 38 | 181 |
| 1 | 269 | 167 |
| 2 | 2575 | 167 |
| 0 | 10387 | 146 |
| 0 | 222 | 2291 |
| 1 | 640 | 2257 |
| 2 | 1869 | 2233 |
| 3 | 5409 | 2157 |
| 0 | 8295 | 2025 |
| 0 | 195 | 1645 |
| 1 | 555 | 1616 |
| 2 | 1580 | 1551 |
| 3 | 5203 | 1545 |
| 0 | 8176 | 1435 |
| 0 | 20 | 75 |
| 1 | 134 | 75 |
| 2 | 1248 | 75 |
| 0 | 8343 | 65 |
| 0 | 5 | 7 |
| 1 | 10 | 7 |
| 2 | 11 | 7 |
| 0 | 11 | 5 |
| 1× | fuel |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 438 to 768 computations (46.6% saved)
Compiled 1 164 to 308 computations (73.5% saved)
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