
Time bar (total: 11.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 10 to 9 computations (10% saved)
| 582.0ms | 2 406× | 1 | valid |
| 548.0ms | 1 358× | 2 | valid |
| 256.0ms | 4 298× | 0 | valid |
| 89.0ms | 194× | 3 | valid |
ival-exp: 807.0ms (73.2% of total)ival-div: 106.0ms (9.6% of total)ival-sub: 70.0ms (6.3% of total)adjust: 54.0ms (4.9% of total)ival-neg: 51.0ms (4.6% of total)ival-true: 6.0ms (0.5% of total)exact: 5.0ms (0.5% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 276× | lower-fma.f64 |
| 276× | lower-fma.f32 |
| 180× | lower-*.f64 |
| 180× | lower-*.f32 |
| 88× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 32 | 16 |
| 2 | 76 | 16 |
| 3 | 173 | 16 |
| 4 | 346 | 16 |
| 5 | 508 | 16 |
| 6 | 531 | 16 |
| 0 | 7 | 8 |
| 0 | 12 | 8 |
| 1 | 23 | 8 |
| 2 | 40 | 8 |
| 3 | 67 | 8 |
| 4 | 109 | 8 |
| 5 | 168 | 8 |
| 6 | 227 | 8 |
| 7 | 349 | 8 |
| 8 | 410 | 8 |
| 9 | 419 | 8 |
| 0 | 419 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 130 | 0 | - | 1 | (0.006728155531865308) | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 1 | (704.482038137059) | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | cancellation | 129 | 1 |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 129 | 1 |
| - | 1 | 125 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 129 | 1 | 0 |
| - | 1 | 0 | 125 |
| number | freq |
|---|---|
| 0 | 126 |
| 1 | 130 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 80× | 2 | valid |
| 30.0ms | 160× | 1 | valid |
| 18.0ms | 258× | 0 | valid |
| 9.0ms | 14× | 3 | valid |
Compiled 68 to 32 computations (52.9% saved)
ival-exp: 48.0ms (70.3% of total)ival-div: 6.0ms (8.8% of total)ival-sub: 6.0ms (8.8% of total)adjust: 4.0ms (5.9% of total)ival-neg: 3.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.9% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 384 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 276× | lower-fma.f64 |
| 276× | lower-fma.f32 |
| 180× | lower-*.f64 |
| 180× | lower-*.f32 |
| 88× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 12 | 23 |
| 1 | 23 | 23 |
| 2 | 40 | 23 |
| 3 | 67 | 23 |
| 4 | 109 | 23 |
| 5 | 168 | 23 |
| 6 | 227 | 23 |
| 7 | 349 | 23 |
| 8 | 410 | 23 |
| 9 | 419 | 23 |
| 0 | 419 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 52.9% | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 16.0ms | 40× | 2 | valid |
| 13.0ms | 80× | 1 | valid |
| 8.0ms | 129× | 0 | valid |
| 4.0ms | 7× | 3 | valid |
Compiled 25 to 9 computations (64% saved)
ival-exp: 22.0ms (71% of total)ival-div: 3.0ms (9.7% of total)adjust: 2.0ms (6.5% of total)ival-neg: 2.0ms (6.5% of total)ival-sub: 2.0ms (6.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))> |
#<alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))> |
#<alt (exp.f64 x)> |
#<alt (exp.f64 (neg.f64 x))> |
#<alt (neg.f64 x)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/2 (- (exp x) (exp (neg x))))> |
#<alt (* 1/2 (- (exp x) (exp (neg x))))> |
#<alt (* 1/2 (- (exp x) (exp (neg x))))> |
#<alt (* 1/2 (- (exp x) (exp (neg x))))> |
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))> |
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))> |
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))> |
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt (- (exp x) (exp (* -1 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> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -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)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ (- (exp x) (exp (neg x))) 2) |
| 0.0ms | x | @ | 0 | (/ (- (exp x) (exp (neg x))) 2) |
| 0.0ms | x | @ | inf | (/ (- (exp x) (exp (neg x))) 2) |
| 0.0ms | x | @ | inf | (neg x) |
| 0.0ms | x | @ | 0 | (- (exp x) (exp (neg x))) |
| 1× | batch-egg-rewrite |
| 1 606× | lower-/.f32 |
| 1 604× | lower-/.f64 |
| 1 600× | lower-*.f64 |
| 1 600× | lower-*.f32 |
| 1 038× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 0 | 12 | 17 |
| 1 | 47 | 13 |
| 2 | 294 | 13 |
| 0 | 3072 | 13 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 4 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 4 binary64) (cosh.f64 x)))) |
(-.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(-.f64 (/.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (*.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) |
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) |
(fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) |
(neg.f64 (neg.f64 (sinh.f64 x))) |
(sinh.f64 x) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 4 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) |
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)))) |
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(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64)))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64))) #s(literal 2 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(*.f64 (sinh.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 (sinh.f64 x))) |
(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))) |
(*.f64 (cosh.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x))) |
(*.f64 #s(literal 4 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))) |
(exp.f64 x) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp.f64 (neg.f64 x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) |
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(log.f64 (exp.f64 (neg.f64 x))) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(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)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 x x)) x) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 0 binary64) (neg.f64 x))) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
| 1× | egg-herbie |
| 18 510× | lower-fma.f64 |
| 18 510× | lower-fma.f32 |
| 4 440× | lower-*.f64 |
| 4 440× | lower-*.f32 |
| 2 418× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 323 |
| 1 | 218 | 322 |
| 2 | 536 | 316 |
| 3 | 1389 | 316 |
| 4 | 2118 | 316 |
| 5 | 3210 | 316 |
| 6 | 3762 | 316 |
| 7 | 5168 | 316 |
| 8 | 6336 | 316 |
| 9 | 7581 | 316 |
| 0 | 8147 | 294 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 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 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -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) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 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 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Compiled 6 323 to 935 computations (85.2% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 350 | 6 | 356 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 351 | 6 | 357 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.5% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
| ▶ | 87.1% | (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
| ▶ | 94.9% | (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
| ▶ | 94.9% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ▶ | 100.0% | (sinh.f64 x) |
| 95.4% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
Compiled 150 to 92 computations (38.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 704 | (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | cost-diff | 0 | (sinh.f64 x) |
| 13 110× | lower-fma.f32 |
| 13 092× | lower-fma.f64 |
| 5 676× | lower-*.f32 |
| 5 660× | lower-*.f64 |
| 1 650× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 204 |
| 0 | 56 | 202 |
| 1 | 148 | 202 |
| 2 | 397 | 198 |
| 3 | 1063 | 198 |
| 4 | 1990 | 198 |
| 5 | 3867 | 198 |
| 6 | 4008 | 198 |
| 7 | 5023 | 198 |
| 8 | 6489 | 198 |
| 0 | 8354 | 194 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sinh.f64 x) |
x |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x x) |
x |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(*.f64 x x) |
x |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(sinh.f64 x) |
x |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(*.f64 x x) |
x |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x x) |
x |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (sinh.f64 x) |
| 79.0ms | 256× | 0 | valid |
Compiled 233 to 39 computations (83.3% saved)
ival-mult: 24.0ms (39.3% of total)const: 24.0ms (39.3% of total)ival-add: 10.0ms (16.4% of total)ival-div: 2.0ms (3.3% of total)ival-sinh: 2.0ms (3.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sinh.f64 x)> |
#<alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)> |
#<alt (*.f64 x x)> |
#<alt (*.f64 x #s(literal 1/6 binary64))> |
#<alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)> |
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))> |
#<alt (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))> |
#<alt (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))> |
#<alt (*.f64 x #s(literal 1/120 binary64))> |
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))> |
#<alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))> |
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))> |
#<alt (* 1/2520 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 1/2520 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))> |
#<alt 2> |
#<alt (+ 2 (* 1/3 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))> |
#<alt (* 1/2520 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 1/2520 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt 1/120> |
#<alt (+ 1/120 (* 1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* 1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* 1/5040 (pow x 2)))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt 1/60> |
#<alt (+ 1/60 (* 1/2520 (pow x 2)))> |
#<alt (+ 1/60 (* 1/2520 (pow x 2)))> |
#<alt (+ 1/60 (* 1/2520 (pow x 2)))> |
#<alt (* 1/2520 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* 1/2520 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt 1/3> |
#<alt (+ 1/3 (* 1/60 (pow x 2)))> |
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))> |
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))> |
#<alt (* 1/2520 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))> |
#<alt (* 1/2520 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1)) |
| 1.0ms | x | @ | -inf | (sinh x) |
| 1.0ms | x | @ | inf | (sinh x) |
| 0.0ms | x | @ | -inf | (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) |
| 0.0ms | x | @ | inf | (+ (* (* x x) (* x 1/6)) x) |
| 1× | batch-egg-rewrite |
| 5 680× | lower-fma.f32 |
| 5 662× | lower-fma.f64 |
| 4 276× | lower-*.f32 |
| 4 260× | lower-*.f64 |
| 3 802× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 176 |
| 0 | 56 | 176 |
| 1 | 272 | 173 |
| 2 | 2055 | 173 |
| 0 | 8143 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sinh.f64 x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x x) |
(*.f64 x #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(sinh.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64)) |
(+.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
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(*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))) |
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))))) |
| 1× | egg-herbie |
| 14 384× | lower-fma.f64 |
| 14 384× | lower-fma.f32 |
| 4 136× | lower-*.f64 |
| 4 136× | lower-*.f32 |
| 3 030× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1924 |
| 1 | 519 | 1882 |
| 2 | 1410 | 1855 |
| 3 | 3908 | 1850 |
| 4 | 7854 | 1850 |
| 0 | 8159 | 1729 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 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) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(* 1/2520 (pow x 7)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/2520 (pow x 7)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))))) |
2 |
(+ 2 (* 1/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) |
(* 1/2520 (pow x 6)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/2520 (pow x 6)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
1/120 |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
1/60 |
(+ 1/60 (* 1/2520 (pow x 2))) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(* 1/2520 (pow x 2)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* 1/2520 (pow x 2)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
1/3 |
(+ 1/3 (* 1/60 (pow x 2))) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(* 1/2520 (pow x 4)) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* 1/2520 (pow x 4)) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 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)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
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(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
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(* 1/6 x) |
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(* x (+ 1/6 (* 1/120 (pow x 2)))) |
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(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
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(* 1/120 (pow x 3)) |
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1/6 |
#s(literal 1/6 binary64) |
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(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
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(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
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(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
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(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
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x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
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(* 1/5040 (pow x 7)) |
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(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
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(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
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(* 1/5040 (pow x 6)) |
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(* 1/5040 (pow x 6)) |
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1/6 |
#s(literal 1/6 binary64) |
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(* 1/5040 (pow x 4)) |
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(* 1/5040 (pow x 4)) |
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x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
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(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
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(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(* 2 x) |
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(* x (+ 2 (* 1/3 (pow x 2)))) |
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(* 1/2520 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
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(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
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(* 1/2520 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* 1/3 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
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(* 1/2520 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x)))) |
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(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)) |
(* 1/2520 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
1/60 |
#s(literal 1/60 binary64) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
(* 1/2520 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2520 binary64))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
(* 1/2520 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2520 binary64))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/60 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(* 1/2520 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64))) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/2520 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64))) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
Compiled 30 385 to 2 497 computations (91.8% saved)
33 alts after pruning (29 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 854 | 28 | 882 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 855 | 33 | 888 |
| Status | Accuracy | Program |
|---|---|---|
| 55.8% | (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) x) | |
| 94.9% | (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) | |
| 93.5% | (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) | |
| 87.1% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) | |
| 93.5% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal 1/6 binary64))) x) | |
| ✓ | 93.5% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
| 93.5% | (fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) | |
| ▶ | 93.2% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
| ✓ | 87.1% | (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
| 93.2% | (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) | |
| 94.9% | (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) | |
| 94.9% | (/.f64 x (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) | |
| ▶ | 94.9% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| 94.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) | |
| 87.1% | (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) | |
| 94.9% | (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 94.9% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 68.8% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ▶ | 94.9% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | 94.9% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 68.4% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 68.4% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 93.5% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 94.6% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) | |
| 94.6% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) | |
| 87.1% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| 94.9% | (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) | |
| 94.9% | (*.f64 x (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 39.5% | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) | |
| 45.5% | (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) | |
| ▶ | 53.3% | (*.f64 x #s(literal 1 binary64)) |
| ✓ | 100.0% | (sinh.f64 x) |
| ▶ | 95.4% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
Compiled 1 123 to 627 computations (44.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
| ✓ | cost-diff | 320 | (*.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sinh.f64 x)) |
| ✓ | cost-diff | 448 | (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 576 | (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
| ✓ | cost-diff | 12800 | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
| 9 944× | lower-fma.f32 |
| 9 932× | lower-fma.f64 |
| 2 760× | lower-*.f32 |
| 2 744× | lower-*.f64 |
| 1 394× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 212 |
| 0 | 55 | 208 |
| 1 | 137 | 201 |
| 2 | 348 | 190 |
| 3 | 730 | 188 |
| 4 | 1198 | 188 |
| 5 | 1399 | 188 |
| 6 | 1525 | 188 |
| 7 | 1882 | 188 |
| 8 | 2709 | 188 |
| 9 | 3541 | 188 |
| 10 | 4216 | 188 |
| 11 | 5766 | 188 |
| 12 | 6483 | 188 |
| 13 | 7576 | 188 |
| 14 | 7745 | 188 |
| 15 | 7891 | 188 |
| 0 | 8024 | 185 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)) |
(log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (sinh.f64 x)) |
#s(literal 1 binary64) |
(sinh.f64 x) |
x |
#s(literal -1 binary64) |
(*.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
(sinh.f64 x) |
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)) |
(log.f64 (sinh.f64 x)) |
(log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(neg.f64 (log.f64 (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (sinh.f64 x)) |
#s(literal 1 binary64) |
(sinh.f64 x) |
x |
#s(literal -1 binary64) |
(*.f64 x #s(literal 1 binary64)) |
x |
x |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (sinh.f64 x)) |
| ✓ | accuracy | 100.0% | (sinh.f64 x) |
| ✓ | accuracy | 99.2% | (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
| ✓ | accuracy | 95.4% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
| 283.0ms | 122× | 5 | exit |
| 38.0ms | 134× | 0 | valid |
Compiled 237 to 36 computations (84.8% saved)
ival-exp: 127.0ms (45.7% of total)ival-mult: 38.0ms (13.7% of total)adjust: 32.0ms (11.5% of total)ival-log: 27.0ms (9.7% of total)ival-div: 16.0ms (5.8% of total)ival-add: 16.0ms (5.8% of total)const: 13.0ms (4.7% of total)ival-sinh: 8.0ms (2.9% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)))> |
#<alt (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)))> |
#<alt (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (sinh.f64 x))> |
#<alt (*.f64 x #s(literal 1 binary64))> |
#<alt (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x)> |
#<alt (*.f64 x x)> |
#<alt (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))> |
#<alt (*.f64 (*.f64 x x) #s(literal 1/120 binary64))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))> |
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))> |
#<alt (sinh.f64 x)> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* -1 (log x))> |
#<alt (+ (* -1 (log x)) (* -1/6 (pow x 2)))> |
#<alt (+ (* -1 (log x)) (* (pow x 2) (- (* 1/180 (pow x 2)) 1/6)))> |
#<alt (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6)))> |
#<alt (log (/ 2 (- (exp x) (/ 1 (exp x)))))> |
#<alt (log (/ 2 (- (exp x) (/ 1 (exp x)))))> |
#<alt (log (/ 2 (- (exp x) (/ 1 (exp x)))))> |
#<alt (log (/ 2 (- (exp x) (/ 1 (exp x)))))> |
#<alt (log (/ 2 (- (exp x) (/ 1 (exp x)))))> |
#<alt (log (/ 2 (- (exp x) (/ 1 (exp x)))))> |
#<alt (log (/ 2 (- (exp x) (/ 1 (exp x)))))> |
#<alt (log (/ 2 (- (exp x) (/ 1 (exp x)))))> |
#<alt (log x)> |
#<alt (+ (log x) (* 1/6 (pow x 2)))> |
#<alt (+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))))> |
#<alt (+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))> |
#<alt (* -1 (log (/ 2 (- (exp x) (/ 1 (exp x))))))> |
#<alt (* -1 (log (/ 2 (- (exp x) (/ 1 (exp x))))))> |
#<alt (* -1 (log (/ 2 (- (exp x) (/ 1 (exp x))))))> |
#<alt (* -1 (log (/ 2 (- (exp x) (/ 1 (exp x))))))> |
#<alt (* -1 (log (/ 2 (- (exp x) (/ 1 (exp x))))))> |
#<alt (* -1 (log (/ 2 (- (exp x) (/ 1 (exp x))))))> |
#<alt (* -1 (log (/ 2 (- (exp x) (/ 1 (exp x))))))> |
#<alt (* -1 (log (/ 2 (- (exp x) (/ 1 (exp x))))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1/6 (pow x 2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x)> |
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))> |
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))> |
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))> |
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))> |
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))> |
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))> |
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))> |
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* x (+ 1 (* 1/120 (pow x 4))))> |
#<alt (* x (+ 1 (* 1/120 (pow x 4))))> |
#<alt (* x (+ 1 (* 1/120 (pow x 4))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))> |
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))> |
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))> |
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))> |
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))> |
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))> |
#<alt (/ 5040 (pow x 6))> |
#<alt (/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt (/ 5040 (pow x 6))> |
#<alt (/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 6))> |
#<alt (/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 6))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/120 x)> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))> |
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | inf | (log (/ 1 (sinh x))) |
| 25.0ms | x | @ | -inf | (log (/ 1 (sinh x))) |
| 1.0ms | x | @ | 0 | (log (/ 1 (sinh x))) |
| 0.0ms | x | @ | inf | (+ (* (* x x) (* x (* (* x x) 1/120))) x) |
| 0.0ms | x | @ | -inf | (+ (* (* x x) (* x (* (* x x) 1/120))) x) |
| 1× | batch-egg-rewrite |
| 8 554× | lower-fma.f32 |
| 8 542× | lower-fma.f64 |
| 5 214× | lower-*.f32 |
| 5 198× | lower-*.f64 |
| 3 628× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 174 |
| 0 | 55 | 170 |
| 1 | 250 | 155 |
| 2 | 1322 | 150 |
| 0 | 8539 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
(log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (sinh.f64 x)) |
(*.f64 x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(*.f64 x x) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(sinh.f64 x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (log.f64 (sinh.f64 x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (neg.f64 (log.f64 (sinh.f64 x))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x))) |
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) |
(neg.f64 (neg.f64 (sinh.f64 x))) |
(sinh.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64))) |
(/.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64)) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (sinh.f64 x))))) |
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) |
(pow.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (sinh.f64 x)))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (sinh.f64 x))) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 x)) |
(*.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal 2 binary64)))) |
(log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(+.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (sinh.f64 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 (sinh.f64 x))))) |
(+.f64 (log.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (log.f64 #s(literal 2 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (log.f64 #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (log.f64 (sinh.f64 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (sinh.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (sinh.f64 x))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (sinh.f64 x)))) |
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (neg.f64 (sinh.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (sinh.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (log.f64 (sinh.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (sinh.f64 x))) #s(literal 0 binary64)) |
(neg.f64 (log.f64 (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (sinh.f64 x)) (neg.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (log.f64 (sinh.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (sinh.f64 x)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) (neg.f64 (log.f64 (sinh.f64 x)))) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (sinh.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)) (fma.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 (sinh.f64 x))) (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (sinh.f64 x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) (neg.f64 (log.f64 (sinh.f64 x))))) (log.f64 (sinh.f64 x))) |
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 (sinh.f64 x))))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (sinh.f64 x))))) |
(*.f64 #s(literal -1 binary64) (log.f64 (sinh.f64 x))) |
(*.f64 (log.f64 (sinh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (sinh.f64 x)))) |
(log.f64 (sinh.f64 x)) |
(+.f64 #s(literal 0 binary64) (log.f64 (sinh.f64 x))) |
(+.f64 (log.f64 (sinh.f64 x)) #s(literal 0 binary64)) |
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 #s(literal 1/2 binary64))) |
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (log.f64 #s(literal 2 binary64)))) |
(+.f64 (log.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (sinh.f64 x)))) |
(-.f64 (log.f64 (sinh.f64 x)) #s(literal 0 binary64)) |
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 #s(literal 2 binary64))) |
(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 #s(literal -1 binary64))) |
(-.f64 (log.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (log.f64 #s(literal -2 binary64))) |
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (log.f64 (sinh.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (log.f64 (sinh.f64 x))) (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (sinh.f64 x))) #s(literal 0 binary64)) |
(fma.f64 (log.f64 (sinh.f64 x)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(neg.f64 (neg.f64 (log.f64 (sinh.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (neg.f64 (log.f64 (sinh.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) |
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(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (neg.f64 x) #s(literal 1/6 binary64)))) |
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))) |
| 1× | egg-herbie |
| 13 522× | lower-fma.f64 |
| 13 522× | lower-fma.f32 |
| 3 942× | lower-*.f64 |
| 3 942× | lower-*.f32 |
| 2 822× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 1942 |
| 1 | 416 | 1915 |
| 2 | 1052 | 1877 |
| 3 | 2867 | 1877 |
| 4 | 5851 | 1877 |
| 0 | 8170 | 1756 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* -1 (log x)) |
(+ (* -1 (log x)) (* -1/6 (pow x 2))) |
(+ (* -1 (log x)) (* (pow x 2) (- (* 1/180 (pow x 2)) 1/6))) |
(+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6))) |
(log (/ 2 (- (exp x) (/ 1 (exp x))))) |
(log (/ 2 (- (exp x) (/ 1 (exp x))))) |
(log (/ 2 (- (exp x) (/ 1 (exp x))))) |
(log (/ 2 (- (exp x) (/ 1 (exp x))))) |
(log (/ 2 (- (exp x) (/ 1 (exp x))))) |
(log (/ 2 (- (exp x) (/ 1 (exp x))))) |
(log (/ 2 (- (exp x) (/ 1 (exp x))))) |
(log (/ 2 (- (exp x) (/ 1 (exp x))))) |
(log x) |
(+ (log x) (* 1/6 (pow x 2))) |
(+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))) |
(+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))) |
(* -1 (log (/ 2 (- (exp x) (/ 1 (exp x)))))) |
(* -1 (log (/ 2 (- (exp x) (/ 1 (exp x)))))) |
(* -1 (log (/ 2 (- (exp x) (/ 1 (exp x)))))) |
(* -1 (log (/ 2 (- (exp x) (/ 1 (exp x)))))) |
(* -1 (log (/ 2 (- (exp x) (/ 1 (exp x)))))) |
(* -1 (log (/ 2 (- (exp x) (/ 1 (exp x)))))) |
(* -1 (log (/ 2 (- (exp x) (/ 1 (exp x)))))) |
(* -1 (log (/ 2 (- (exp x) (/ 1 (exp x)))))) |
(/ 1 x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) |
(/ 5040 (pow x 6)) |
(/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 6)) |
(/ 5040 (pow x 6)) |
(/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 6)) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/120 x) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(+ (* -1 (log x)) (* -1/6 (pow x 2))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (log.f64 x)) |
(+ (* -1 (log x)) (* (pow x 2) (- (* 1/180 (pow x 2)) 1/6))) |
(-.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal -1/6 binary64)))) (log.f64 x)) |
(+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/2835 binary64) #s(literal 1/180 binary64)) #s(literal -1/6 binary64))) (neg.f64 (log.f64 x))) |
(log (/ 2 (- (exp x) (/ 1 (exp x))))) |
(log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(log (/ 2 (- (exp x) (/ 1 (exp x))))) |
(log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(log (/ 2 (- (exp x) (/ 1 (exp x))))) |
(log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(log (/ 2 (- (exp x) (/ 1 (exp x))))) |
(log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(log (/ 2 (- (exp x) (/ 1 (exp x))))) |
(log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(log (/ 2 (- (exp x) (/ 1 (exp x))))) |
(log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(log (/ 2 (- (exp x) (/ 1 (exp x))))) |
(log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(log (/ 2 (- (exp x) (/ 1 (exp x))))) |
(log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(log x) |
(log.f64 x) |
(+ (log x) (* 1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (log.f64 x)) |
(+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (log.f64 x)) |
(+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (log.f64 x)) |
(* -1 (log (/ 2 (- (exp x) (/ 1 (exp x)))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(* -1 (log (/ 2 (- (exp x) (/ 1 (exp x)))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(* -1 (log (/ 2 (- (exp x) (/ 1 (exp x)))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(* -1 (log (/ 2 (- (exp x) (/ 1 (exp x)))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(* -1 (log (/ 2 (- (exp x) (/ 1 (exp x)))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(* -1 (log (/ 2 (- (exp x) (/ 1 (exp x)))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(* -1 (log (/ 2 (- (exp x) (/ 1 (exp x)))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(* -1 (log (/ 2 (- (exp x) (/ 1 (exp x)))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
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(/.f64 (+.f64 #s(literal 5040 binary64) (+.f64 (/.f64 #s(literal 4656960 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -211680 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 6)) |
(/.f64 (+.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 4656960 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -43182720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/5040 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))) |
(* 1/5040 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
Compiled 47 446 to 3 057 computations (93.6% saved)
37 alts after pruning (33 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 344 | 21 | 1 365 |
| Fresh | 12 | 12 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 2 | 4 |
| Total | 1 361 | 37 | 1 398 |
| Status | Accuracy | Program |
|---|---|---|
| 93.5% | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) | |
| 94.9% | (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) | |
| 87.1% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) | |
| 93.5% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal 1/6 binary64))) x) | |
| 93.5% | (fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) | |
| ✓ | 93.2% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
| 93.2% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)) x) | |
| ✓ | 87.1% | (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
| 87.1% | (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) | |
| ▶ | 99.6% | (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
| 28.9% | (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))) #s(literal 1 binary64))) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1 binary64)))) | |
| 46.7% | (/.f64 x (/.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 94.9% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 94.9% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/5040 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 94.9% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| 94.6% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))) | |
| 94.9% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64))))) | |
| ▶ | 94.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) |
| 87.1% | (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) | |
| 45.5% | (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) | |
| ▶ | 93.5% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 94.9% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 68.8% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 94.9% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 68.4% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 94.6% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) | |
| ▶ | 94.6% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
| 94.6% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) | |
| 94.9% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)))) | |
| 94.9% | (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)))) | |
| 47.0% | (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 46.9% | (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))) | |
| 39.5% | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) | |
| 45.5% | (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) | |
| 46.9% | (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) x)) | |
| ✓ | 100.0% | (sinh.f64 x) |
| ▶ | 53.3% | x |
Compiled 1 222 to 659 computations (46.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sinh.f64 x) |
| ✓ | cost-diff | 5824 | (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 7104 | (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
| 8 990× | lower-fma.f32 |
| 8 976× | lower-fma.f64 |
| 4 472× | lower-*.f32 |
| 4 458× | lower-*.f64 |
| 3 408× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 226 |
| 0 | 55 | 225 |
| 1 | 143 | 219 |
| 2 | 409 | 215 |
| 3 | 1215 | 211 |
| 4 | 2528 | 209 |
| 5 | 4420 | 208 |
| 0 | 8495 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) |
(sinh.f64 x) |
x |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
x |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(sinh.f64 x) |
(pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) |
(sqrt.f64 (sinh.f64 x)) |
(sinh.f64 x) |
x |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
x |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x x))) x) |
x |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (sinh.f64 x) |
| ✓ | accuracy | 99.6% | (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
| 92.0ms | 256× | 0 | valid |
Compiled 256 to 38 computations (85.2% saved)
const: 31.0ms (42.4% of total)ival-mult: 24.0ms (32.8% of total)ival-add: 8.0ms (10.9% of total)ival-div: 3.0ms (4.1% of total)ival-pow2: 3.0ms (4.1% of total)ival-sqrt: 2.0ms (2.7% of total)ival-sinh: 2.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))> |
#<alt (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64))> |
#<alt (sinh.f64 x)> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64))> |
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))> |
#<alt (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (sqrt x)> |
#<alt (+ (sqrt x) (* 1/12 (sqrt (pow x 5))))> |
#<alt (+ (sqrt x) (* (pow x 3) (+ (* 1/240 (sqrt (pow x 3))) (* 1/12 (sqrt (/ 1 x))))))> |
#<alt (+ (sqrt x) (* (pow x 3) (+ (* 1/12 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/288 (sqrt (/ 1 x))) (* 1/240 (sqrt (/ 1 x))))))))> |
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))> |
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))> |
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))> |
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))> |
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))> |
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))> |
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))> |
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/120 (pow x 4))))> |
#<alt (* x (+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (/ 1 (pow x 4))) (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (/ 1 (pow x 4))) (pow x 2))) 1/5040)))> |
#<alt 1> |
#<alt (+ 1 (* 1/120 (pow x 4)))> |
#<alt (+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1/6 (pow x 2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x)> |
#<alt (/ 5040 (pow x 7))> |
#<alt (/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 7))> |
#<alt (/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 7))> |
#<alt (/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 7))> |
#<alt (/ 5040 (pow x 7))> |
#<alt (* -1 (/ (- (* 211680 (/ 1 (pow x 2))) 5040) (pow x 7)))> |
#<alt (* -1 (/ (- (* 211680 (/ 1 (pow x 2))) (+ 5040 (/ 4656960 (pow x 4)))) (pow x 7)))> |
#<alt (* -1 (/ (- (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6)))) (+ 5040 (/ 4656960 (pow x 4)))) (pow x 7)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))> |
#<alt (* 1/2520 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 1/2520 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))> |
#<alt 2> |
#<alt (+ 2 (* 1/3 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))> |
#<alt (* 1/2520 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<alt (* 1/2520 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))> |
#<alt 1/120> |
#<alt (+ 1/120 (* 1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* 1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* 1/5040 (pow x 2)))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 x)> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt 1/60> |
#<alt (+ 1/60 (* 1/2520 (pow x 2)))> |
#<alt (+ 1/60 (* 1/2520 (pow x 2)))> |
#<alt (+ 1/60 (* 1/2520 (pow x 2)))> |
#<alt (* 1/2520 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* 1/2520 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* 1/60 x)> |
#<alt (* x (+ 1/60 (* 1/2520 (pow x 2))))> |
#<alt (* x (+ 1/60 (* 1/2520 (pow x 2))))> |
#<alt (* x (+ 1/60 (* 1/2520 (pow x 2))))> |
#<alt (* 1/2520 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* 1/2520 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow (sinh x) 1/2) |
| 1.0ms | x | @ | inf | (* x (+ (* (* x x) (* x (* x (+ (* (* x x) 1/5040) 1/120)))) 1)) |
| 0.0ms | x | @ | -inf | (pow (sinh x) 1/2) |
| 0.0ms | x | @ | 0 | (pow (sinh x) 1/2) |
| 0.0ms | x | @ | 0 | (* x (+ (* (* x x) (* x (* x (+ (* (* x x) 1/5040) 1/120)))) 1)) |
| 1× | batch-egg-rewrite |
| 5 206× | lower-*.f32 |
| 5 192× | lower-*.f64 |
| 4 316× | lower-fma.f32 |
| 4 302× | lower-fma.f64 |
| 3 668× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 191 |
| 0 | 55 | 188 |
| 1 | 268 | 181 |
| 2 | 1920 | 177 |
| 0 | 8194 | 174 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) |
(sinh.f64 x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) |
| Outputs |
|---|
(exp.f64 (log.f64 (sinh.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(fabs.f64 (sinh.f64 x)) |
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(sinh.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))) |
(pow.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (sinh.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 x))) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (sinh.f64 x)))) |
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 x))) (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 x))) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (sinh.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sinh.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(fabs.f64 (sqrt.f64 (sinh.f64 x))) |
(sqrt.f64 (sinh.f64 x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (sqrt.f64 #s(literal -2 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (sinh.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sinh.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 x))))) |
(exp.f64 (log.f64 (sinh.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(fabs.f64 (sinh.f64 x)) |
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(sinh.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))) |
(pow.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (sinh.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 x))) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (sinh.f64 x)))) |
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 x))) (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sinh.f64 x))) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) |
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (fma.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/151200 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/151200 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))) |
(+.f64 (*.f64 x #s(literal 1/60 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x #s(literal 1/60 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x #s(literal 1/60 binary64)))) (/.f64 (*.f64 (*.f64 x #s(literal 1/60 binary64)) (*.f64 x #s(literal 1/60 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x #s(literal 1/60 binary64))))) |
(fma.f64 x #s(literal 1/60 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)) (*.f64 x #s(literal 1/60 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/2520 binary64)) (*.f64 x #s(literal 1/60 binary64))) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/60 binary64))) |
(fma.f64 #s(literal 1/60 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)) x (*.f64 x #s(literal 1/60 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/2520 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/60 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64) (*.f64 x #s(literal 1/60 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216000 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 1/60 binary64)) (*.f64 x #s(literal 1/60 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x #s(literal 1/60 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) (*.f64 (*.f64 x #s(literal 1/60 binary64)) (*.f64 x #s(literal 1/60 binary64)))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x #s(literal 1/60 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/151200 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) x) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/151200 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216000 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 1/60 binary64)) (*.f64 x #s(literal 1/60 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x #s(literal 1/60 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) (*.f64 (*.f64 x #s(literal 1/60 binary64)) (*.f64 x #s(literal 1/60 binary64))))) (neg.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x #s(literal 1/60 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/151200 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/151200 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/216000 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x #s(literal 1/60 binary64)) (*.f64 x #s(literal 1/60 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) (*.f64 (*.f64 x #s(literal 1/60 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) |
| 1× | egg-herbie |
| 12 648× | lower-fma.f64 |
| 12 648× | lower-fma.f32 |
| 4 570× | lower-*.f64 |
| 4 570× | lower-*.f32 |
| 3 402× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 2109 |
| 1 | 720 | 2085 |
| 2 | 1960 | 2024 |
| 3 | 5564 | 2018 |
| 0 | 8177 | 1899 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(sqrt x) |
(+ (sqrt x) (* 1/12 (sqrt (pow x 5)))) |
(+ (sqrt x) (* (pow x 3) (+ (* 1/240 (sqrt (pow x 3))) (* 1/12 (sqrt (/ 1 x)))))) |
(+ (sqrt x) (* (pow x 3) (+ (* 1/12 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/288 (sqrt (/ 1 x))) (* 1/240 (sqrt (/ 1 x)))))))) |
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x))))) |
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x))))) |
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x))))) |
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x))))) |
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x))))) |
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x))))) |
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x))))) |
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(* x (+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* x (+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* (pow x 7) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (/ 1 (pow x 4))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (/ 1 (pow x 4))) (pow x 2))) 1/5040))) |
1 |
(+ 1 (* 1/120 (pow x 4))) |
(+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2))))) |
(+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
(/ 1 x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x) |
(/ 5040 (pow x 7)) |
(/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 7)) |
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 7)) |
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 7)) |
(/ 5040 (pow x 7)) |
(* -1 (/ (- (* 211680 (/ 1 (pow x 2))) 5040) (pow x 7))) |
(* -1 (/ (- (* 211680 (/ 1 (pow x 2))) (+ 5040 (/ 4656960 (pow x 4)))) (pow x 7))) |
(* -1 (/ (- (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6)))) (+ 5040 (/ 4656960 (pow x 4)))) (pow x 7))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(* 1/2520 (pow x 7)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/2520 (pow x 7)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))))) |
2 |
(+ 2 (* 1/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) |
(* 1/2520 (pow x 6)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/2520 (pow x 6)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
1/120 |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/120 x) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
1/60 |
(+ 1/60 (* 1/2520 (pow x 2))) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(* 1/2520 (pow x 2)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* 1/2520 (pow x 2)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* 1/60 x) |
(* x (+ 1/60 (* 1/2520 (pow x 2)))) |
(* x (+ 1/60 (* 1/2520 (pow x 2)))) |
(* x (+ 1/60 (* 1/2520 (pow x 2)))) |
(* 1/2520 (pow x 3)) |
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* 1/2520 (pow x 3)) |
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(sqrt x) |
(sqrt.f64 x) |
(+ (sqrt x) (* 1/12 (sqrt (pow x 5)))) |
(fma.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow x 3) (+ (* 1/240 (sqrt (pow x 3))) (* 1/12 (sqrt (/ 1 x)))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/240 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) (sqrt.f64 x)) |
(+ (sqrt x) (* (pow x 3) (+ (* 1/12 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/288 (sqrt (/ 1 x))) (* 1/240 (sqrt (/ 1 x)))))))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal 1/12 binary64)))) (sqrt.f64 x)) |
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/120 (pow x 4)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* 1/120 (pow x 4)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
x |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(* x (+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(* x (+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(* (pow x 7) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (/ 1 (pow x 4))) (pow x 2))) 1/5040))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (/ 1 (pow x 4))) (pow x 2))) 1/5040))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/120 (pow x 4))) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* 1/5040 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(fma.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(fma.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) |
(* 1/5040 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(fma.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(fma.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -31/15120 binary64) #s(literal 7/360 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(/ 5040 (pow x 7)) |
(/.f64 #s(literal 5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 7)) |
(/.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 7)) |
(/.f64 (+.f64 #s(literal 5040 binary64) (+.f64 (/.f64 #s(literal 4656960 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -211680 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 7)) |
(/.f64 (+.f64 (-.f64 #s(literal 5040 binary64) (/.f64 #s(literal -4656960 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -211680 binary64) (*.f64 x x)) (/.f64 #s(literal -43182720 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (pow.f64 x #s(literal 7 binary64))) |
(/ 5040 (pow x 7)) |
(/.f64 #s(literal 5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (/ (- (* 211680 (/ 1 (pow x 2))) 5040) (pow x 7))) |
(/.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (/ (- (* 211680 (/ 1 (pow x 2))) (+ 5040 (/ 4656960 (pow x 4)))) (pow x 7))) |
(/.f64 (+.f64 #s(literal 5040 binary64) (+.f64 (/.f64 #s(literal 4656960 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -211680 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (/ (- (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6)))) (+ 5040 (/ 4656960 (pow x 4)))) (pow x 7))) |
(/.f64 (+.f64 (-.f64 #s(literal 5040 binary64) (/.f64 #s(literal -4656960 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -211680 binary64) (*.f64 x x)) (/.f64 #s(literal -43182720 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (pow.f64 x #s(literal 7 binary64))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(* 1/2520 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(* 1/2520 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 1/3 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(* 1/2520 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64)))) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 2 binary64)) |
(* 1/2520 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64)))) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 2 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
1/60 |
#s(literal 1/60 binary64) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(* 1/2520 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(* 1/2520 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(* 1/60 x) |
(*.f64 x #s(literal 1/60 binary64)) |
(* x (+ 1/60 (* 1/2520 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) |
(* x (+ 1/60 (* 1/2520 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) |
(* x (+ 1/60 (* 1/2520 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) |
(* 1/2520 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64)) |
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) |
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) |
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) |
(* 1/2520 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64)) |
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) |
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) |
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) |
Compiled 29 696 to 2 868 computations (90.3% saved)
40 alts after pruning (33 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 895 | 9 | 904 |
| Fresh | 4 | 24 | 28 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 901 | 40 | 941 |
| Status | Accuracy | Program |
|---|---|---|
| 93.5% | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) | |
| 94.9% | (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) | |
| 94.6% | (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)) x) | |
| 87.1% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) | |
| 93.5% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal 1/6 binary64))) x) | |
| 93.5% | (fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) | |
| ✓ | 93.2% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
| 93.2% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)) x) | |
| ✓ | 87.1% | (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
| 87.1% | (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) | |
| 99.6% | (pow.f64 (sqrt.f64 (sinh.f64 x)) #s(literal 2 binary64)) | |
| 55.8% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))) | |
| 28.9% | (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))) #s(literal 1 binary64))) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1 binary64)))) | |
| 46.7% | (/.f64 x (/.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 94.9% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 94.9% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/5040 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 94.9% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| 94.6% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))) | |
| 94.9% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64))))) | |
| 68.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) | |
| 46.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64))))))) | |
| 87.1% | (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) | |
| 45.5% | (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) | |
| ✓ | 93.5% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 94.9% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 68.5% | (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64))) | |
| 94.6% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1 binary64))) | |
| 94.6% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64)))) #s(literal 1 binary64))) | |
| ✓ | 94.6% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
| 94.6% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) | |
| 94.6% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) | |
| 94.9% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)))) | |
| 94.9% | (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)))) | |
| 47.0% | (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 46.9% | (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))) | |
| 39.5% | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) | |
| 45.5% | (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) | |
| 46.9% | (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) x)) | |
| ✓ | 100.0% | (sinh.f64 x) |
| ✓ | 53.3% | x |
Compiled 1 832 to 629 computations (65.7% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) x)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/5040 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 x (/.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))) #s(literal 1 binary64))) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(sinh.f64 x) |
(pow.f64 (sqrt.f64 (sinh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
| Outputs |
|---|
(sinh.f64 x) |
3 calls:
| 39.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 17.0ms | x |
| 15.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 100.0% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) x)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/5040 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 x (/.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))) #s(literal 1 binary64))) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)))) |
3 calls:
| 37.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 16.0ms | x |
| 16.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 1 | x |
| 94.9% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 94.9% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) x)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
| Outputs |
|---|
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
3 calls:
| 12.0ms | x |
| 10.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 9.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 1 | x |
| 94.9% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 94.9% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) x)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
3 calls:
| 9.0ms | x |
| 8.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 7.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 1 | x |
| 94.9% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 94.9% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) x)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)) x) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
3 calls:
| 41.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 8.0ms | x |
| 6.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 1 | x |
| 94.6% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 94.6% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) x)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
3 calls:
| 22.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 7.0ms | x |
| 6.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 1 | x |
| 94.6% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 94.6% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) x)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
3 calls:
| 7.0ms | x |
| 6.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 6.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.5% | 1 | x |
| 93.5% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.5% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
3 calls:
| 5.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 4.0ms | x |
| 3.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 1 | x |
| 93.2% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.2% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
| Outputs |
|---|
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
3 calls:
| 8.0ms | x |
| 3.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 3.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.3% | 2 | x |
| 93.3% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.3% | 2 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) |
| Outputs |
|---|
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
3 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 2.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.1% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 87.1% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 87.1% | 1 | x |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
3 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 2.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.1% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 87.1% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 87.1% | 1 | x |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| Outputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
3 calls:
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 2.0ms | x |
| 1.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.9% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 86.9% | 2 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 86.9% | 2 | x |
Compiled 18 to 13 computations (27.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
x |
3 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 1.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.3% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 53.3% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 53.3% | 1 | x |
Compiled 18 to 13 computations (27.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.3105365155700772 | 704.482038137059 |
| 7.0ms | 128× | 0 | valid |
Compiled 196 to 123 computations (37.2% saved)
ival-exp: 3.0ms (61% of total)ival-sub: 1.0ms (20.3% of total)ival-div: 1.0ms (20.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.3105365155700772 | 704.482038137059 |
| 5.0ms | 80× | 0 | valid |
Compiled 108 to 75 computations (30.6% saved)
ival-exp: 2.0ms (64.4% of total)ival-div: 1.0ms (32.2% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | egg-herbie |
| 50× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 171 |
| 1 | 82 | 171 |
| 1× | saturated |
| Inputs |
|---|
(sinh.f64 x) |
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(if (<=.f64 x #s(literal 5 binary64)) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
x |
| Outputs |
|---|
(sinh.f64 x) |
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(if (<=.f64 x #s(literal 5 binary64)) (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
x |
| 18 510× | lower-fma.f64 |
| 18 510× | lower-fma.f32 |
| 14 384× | lower-fma.f64 |
| 14 384× | lower-fma.f32 |
| 13 522× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 0 | 12 | 17 |
| 1 | 47 | 13 |
| 2 | 294 | 13 |
| 0 | 3072 | 13 |
| 0 | 28 | 176 |
| 0 | 56 | 176 |
| 1 | 272 | 173 |
| 2 | 2055 | 173 |
| 0 | 8143 | 170 |
| 0 | 27 | 174 |
| 0 | 55 | 170 |
| 1 | 250 | 155 |
| 2 | 1322 | 150 |
| 0 | 8539 | 147 |
| 0 | 149 | 1924 |
| 1 | 519 | 1882 |
| 2 | 1410 | 1855 |
| 3 | 3908 | 1850 |
| 4 | 7854 | 1850 |
| 0 | 8159 | 1729 |
| 0 | 74 | 323 |
| 1 | 218 | 322 |
| 2 | 536 | 316 |
| 3 | 1389 | 316 |
| 4 | 2118 | 316 |
| 5 | 3210 | 316 |
| 6 | 3762 | 316 |
| 7 | 5168 | 316 |
| 8 | 6336 | 316 |
| 9 | 7581 | 316 |
| 0 | 8147 | 294 |
| 0 | 150 | 1942 |
| 1 | 416 | 1915 |
| 2 | 1052 | 1877 |
| 3 | 2867 | 1877 |
| 4 | 5851 | 1877 |
| 0 | 8170 | 1756 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 513 to 261 computations (49.1% saved)
(negabs x)
Compiled 368 to 124 computations (66.3% saved)
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