
Time bar (total: 9.8s)
| 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)
| 884.0ms | 1 520× | 2 | valid |
| 383.0ms | 2 435× | 1 | valid |
| 228.0ms | 4 301× | 0 | valid |
ival-exp: 957.0ms (74.6% of total)ival-div: 118.0ms (9.2% of total)adjust: 88.0ms (6.9% of total)ival-sub: 70.0ms (5.5% of total)ival-neg: 35.0ms (2.7% of total)ival-true: 6.0ms (0.5% of total)exact: 5.0ms (0.4% of total)ival-assert: 4.0ms (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 |
|---|---|---|---|---|---|
| 256 | 0 | - | 256 | (6.213282611372703e+55) | (neg.f64 x) |
| 256 | 0 | - | 256 | (6.213282611372703e+55) | (exp.f64 (neg.f64 x)) |
| 256 | 0 | - | 256 | (6.213282611372703e+55) | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 256 | 0 | - | 127 | (6.213282611372703e+55) | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 130 | 0 | - | 130 | (8.420460164707333e-101) | (exp.f64 x) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | cancellation | 129 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 129 | 0 |
| - | 0 | 127 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 129 | 0 | 0 |
| - | 0 | 0 | 127 |
| number | freq |
|---|---|
| 0 | 127 |
| 1 | 129 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 39.0ms | 106× | 2 | valid |
| 26.0ms | 140× | 1 | valid |
| 15.0ms | 266× | 0 | valid |
Compiled 92 to 39 computations (57.6% saved)
ival-exp: 44.0ms (71.7% of total)ival-div: 6.0ms (9.8% of total)adjust: 4.0ms (6.5% of total)ival-sub: 4.0ms (6.5% of total)ival-neg: 2.0ms (3.3% 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 |
|---|---|---|
| ▶ | 53.9% | (/.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 | 4.2% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| ✓ | accuracy | 3.7% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 2.6% | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 1.3% | (neg.f64 x) |
| 106.0ms | 53× | 2 | valid |
| 11.0ms | 70× | 1 | valid |
| 7.0ms | 133× | 0 | valid |
Compiled 49 to 16 computations (67.3% saved)
ival-exp: 108.0ms (92.9% of total)ival-div: 3.0ms (2.6% of total)adjust: 2.0ms (1.7% of total)ival-sub: 2.0ms (1.7% of total)ival-neg: 1.0ms (0.9% 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 | |
|---|---|---|---|---|
| 1.0ms | 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))) |
Compiled 102 to 77 computations (24.5% saved)
| 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))))))) |
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(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.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 #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)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 351 | 5 | 356 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 352 | 5 | 357 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.5% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
| ▶ | 85.0% | (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
| ▶ | 92.6% | (/.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)) |
| ▶ | 92.6% | (*.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) |
Compiled 132 to 76 computations (42.4% 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 | 32.6% | (*.f64 x x) |
| ✓ | accuracy | 9.8% | (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 | 8.7% | (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 | 4.4% | (*.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 | 32.6% | (*.f64 x x) |
| ✓ | accuracy | 32.2% | (*.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))) |
| ✓ | accuracy | 15.0% | (*.f64 x #s(literal 1/5040 binary64)) |
| ✓ | accuracy | 4.6% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 32.6% | (*.f64 x x) |
| ✓ | accuracy | 32.6% | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 11.8% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 10.4% | (*.f64 x #s(literal 1/120 binary64)) |
| ✓ | accuracy | 32.6% | (*.f64 x x) |
| ✓ | accuracy | 16.6% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 11.7% | (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | accuracy | 53.0% | (sinh.f64 x) |
| 76.0ms | 256× | 0 | valid |
Compiled 438 to 67 computations (84.7% saved)
ival-mult: 26.0ms (44.4% of total)const: 16.0ms (27.3% of total)ival-add: 12.0ms (20.5% of total)ival-div: 2.0ms (3.4% of total)ival-sinh: 2.0ms (3.4% 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 (*.f64 x #s(literal 1/5040 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 x)))> |
#<alt (* x (+ 1 (* 1/6 x)))> |
#<alt (* x (+ 1 (* 1/6 x)))> |
#<alt (* 1/6 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/6 (/ 1 (pow x 3))))> |
#<alt (* (pow x 4) (+ 1/6 (/ 1 (pow x 3))))> |
#<alt (* (pow x 4) (+ 1/6 (/ 1 (pow x 3))))> |
#<alt (* -1/6 (pow x 4))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 3)) 1/6))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 3)) 1/6))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 3)) 1/6))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* 7/6 x)> |
#<alt (* x (+ 7/6 (* 1/120 (pow x 5))))> |
#<alt (* x (+ 7/6 (* 1/120 (pow x 5))))> |
#<alt (* x (+ 7/6 (* 1/120 (pow x 5))))> |
#<alt (* 1/6 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/6 (/ 1 (pow x 6))))> |
#<alt (* (pow x 8) (+ 1/6 (+ (/ 1 (pow x 6)) (/ 1 (pow x 7)))))> |
#<alt (* (pow x 8) (+ 1/6 (+ (/ 1 (pow x 6)) (/ 1 (pow x 7)))))> |
#<alt (* 1/120 (pow x 15))> |
#<alt (* -1 (* (pow x 15) (- (* 1/6 (/ 1 (pow x 5))) 1/120)))> |
#<alt (* -1 (* (pow x 15) (- (* 1/6 (/ 1 (pow x 5))) 1/120)))> |
#<alt (* -1 (* (pow x 15) (- (* -1 (/ (- (/ 1 (pow x 9)) 1/6) (pow x 5))) 1/120)))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/120 (pow x 3))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow x 3))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow x 3))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* -1/120 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120))> |
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120))> |
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow x 3)))> |
#<alt (+ 1/6 (* 1/120 (pow x 3)))> |
#<alt (+ 1/6 (* 1/120 (pow x 3)))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<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 13))> |
#<alt (* (pow x 13) (+ 1/5040 (* 1/6 (/ 1 (pow x 5)))))> |
#<alt (* (pow x 13) (+ 1/5040 (+ (/ 1/120 (pow x 9)) (* 1/6 (/ 1 (pow x 5))))))> |
#<alt (* (pow x 13) (+ 1/5040 (+ (/ 1/120 (pow x 9)) (+ (* 1/6 (/ 1 (pow x 5))) (/ 1 (pow x 12))))))> |
#<alt (* -1/5040 (pow x 14))> |
#<alt (* (pow x 14) (- (* 1/6 (/ 1 (pow x 5))) 1/5040))> |
#<alt (* (pow x 14) (- (+ (/ 1/120 (pow x 9)) (* 1/6 (/ 1 (pow x 5)))) 1/5040))> |
#<alt (* (pow x 14) (- (* -1 (/ (- (* -1 (/ (+ 1/120 (/ 1 (pow x 4))) (pow x 4))) 1/6) (pow x 5))) 1/5040))> |
#<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 12))> |
#<alt (* (pow x 12) (+ 1/5040 (* 1/6 (/ 1 (pow x 5)))))> |
#<alt (* (pow x 12) (+ 1/5040 (+ (/ 1/120 (pow x 9)) (* 1/6 (/ 1 (pow x 5))))))> |
#<alt (* (pow x 12) (+ 1/5040 (+ (/ 1/120 (pow x 9)) (+ (* 1/6 (/ 1 (pow x 5))) (/ 1 (pow x 12))))))> |
#<alt (* 1/5040 (pow x 12))> |
#<alt (* (pow x 12) (- 1/5040 (* 1/6 (/ 1 (pow x 5)))))> |
#<alt (* (pow x 12) (+ 1/5040 (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow x 4)))) (pow x 5)))))> |
#<alt (* (pow x 12) (+ 1/5040 (* -1 (/ (- (+ 1/6 (* 1/120 (/ 1 (pow x 4)))) (/ 1 (pow x 7))) (pow x 5)))))> |
#<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 (* 1/120 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/120 (* 1/5040 (/ 1 (pow x 5)))))> |
#<alt (* (pow x 8) (+ 1/120 (+ (/ 1/6 (pow x 8)) (* 1/5040 (/ 1 (pow x 5))))))> |
#<alt (* (pow x 8) (+ 1/120 (+ (/ 1/6 (pow x 8)) (* 1/5040 (/ 1 (pow x 5))))))> |
#<alt (* 1/120 (pow x 8))> |
#<alt (* (pow x 8) (- 1/120 (* 1/5040 (/ 1 (pow x 5)))))> |
#<alt (* (pow x 8) (+ 1/120 (* -1 (/ (- 1/5040 (* 1/6 (/ 1 (pow x 3)))) (pow x 5)))))> |
#<alt (* (pow x 8) (+ 1/120 (* -1 (/ (- 1/5040 (* 1/6 (/ 1 (pow x 3)))) (pow x 5)))))> |
#<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 14))> |
#<alt (* 1/5040 (pow x 14))> |
#<alt (* (pow x 14) (+ 1/5040 (* 1/120 (/ 1 (pow x 9)))))> |
#<alt (* (pow x 14) (+ 1/5040 (+ (/ 1/6 (pow x 11)) (* 1/120 (/ 1 (pow x 9))))))> |
#<alt (* -1/5040 (pow x 14))> |
#<alt (* -1/5040 (pow x 14))> |
#<alt (* (pow x 14) (- (* 1/120 (/ 1 (pow x 9))) 1/5040))> |
#<alt (* (pow x 14) (- (+ (/ 1/6 (pow x 11)) (* 1/120 (/ 1 (pow x 9)))) 1/5040))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/3 x)))> |
#<alt (* x (+ 2 (* x (+ 1/3 (* 1/60 x)))))> |
#<alt (* x (+ 2 (* x (+ 1/3 (* x (+ 1/60 (* 1/2520 x)))))))> |
#<alt (* 1/2520 (pow x 13))> |
#<alt (* 1/2520 (pow x 13))> |
#<alt (* (pow x 13) (+ 1/2520 (* 1/60 (/ 1 (pow x 9)))))> |
#<alt (* (pow x 13) (+ 1/2520 (+ (/ 1/3 (pow x 11)) (* 1/60 (/ 1 (pow x 9))))))> |
#<alt (* -1/2520 (pow x 14))> |
#<alt (* -1/2520 (pow x 14))> |
#<alt (* (pow x 14) (- (* 1/60 (/ 1 (pow x 9))) 1/2520))> |
#<alt (* (pow x 14) (- (+ (/ 1/3 (pow x 11)) (* 1/60 (/ 1 (pow x 9)))) 1/2520))> |
#<alt 2> |
#<alt (+ 2 (* 1/3 x))> |
#<alt (+ 2 (* x (+ 1/3 (* 1/60 x))))> |
#<alt (+ 2 (* x (+ 1/3 (* x (+ 1/60 (* 1/2520 x))))))> |
#<alt (* 1/2520 (pow x 12))> |
#<alt (* 1/2520 (pow x 12))> |
#<alt (* (pow x 12) (+ 1/2520 (* 1/60 (/ 1 (pow x 9)))))> |
#<alt (* (pow x 12) (+ 1/2520 (+ (/ 1/3 (pow x 11)) (* 1/60 (/ 1 (pow x 9))))))> |
#<alt (* 1/2520 (pow x 12))> |
#<alt (* 1/2520 (pow x 12))> |
#<alt (* (pow x 12) (- 1/2520 (* 1/60 (/ 1 (pow x 9)))))> |
#<alt (* (pow x 12) (+ 1/2520 (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 9)))))> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* 1/120 x)> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 3))))> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 3))))> |
#<alt (* x (+ 1/120 (* 1/5040 (pow x 3))))> |
#<alt (* 1/5040 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 5))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 5))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 5))) 1/5040))> |
#<alt (* 1/5040 x)> |
#<alt (* 1/5040 x)> |
#<alt (* 1/5040 x)> |
#<alt (* 1/5040 x)> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<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 (* 1/60 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/60 (* 1/2520 (/ 1 (pow x 5)))))> |
#<alt (* (pow x 8) (+ 1/60 (+ (/ 1/3 (pow x 8)) (* 1/2520 (/ 1 (pow x 5))))))> |
#<alt (* (pow x 8) (+ 1/60 (+ (/ 1/3 (pow x 8)) (* 1/2520 (/ 1 (pow x 5))))))> |
#<alt (* 1/60 (pow x 8))> |
#<alt (* (pow x 8) (- 1/60 (* 1/2520 (/ 1 (pow x 5)))))> |
#<alt (* (pow x 8) (+ 1/60 (* -1 (/ (- 1/2520 (* 1/3 (/ 1 (pow x 3)))) (pow x 5)))))> |
#<alt (* (pow x 8) (+ 1/60 (* -1 (/ (- 1/2520 (* 1/3 (/ 1 (pow x 3)))) (pow x 5)))))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | 0 | (* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1)) |
| 1.0ms | x | @ | -inf | (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) |
| 1.0ms | x | @ | -inf | (sinh x) |
| 1.0ms | x | @ | inf | (* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1)) |
| 1.0ms | x | @ | -inf | (* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1)) |
Compiled 710 to 548 computations (22.8% saved)
| 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 | 167 |
| 0 | 56 | 167 |
| 1 | 272 | 164 |
| 2 | 2055 | 164 |
| 0 | 8143 | 161 |
| 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))) |
(*.f64 x #s(literal 1/5040 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)))))) |
(/.f64 (-.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 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x))) |
(/.f64 (neg.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 (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 (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 (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
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(*.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 |
| 10 200× | lower-fma.f64 |
| 10 200× | lower-fma.f32 |
| 4 488× | lower-*.f64 |
| 4 488× | lower-*.f32 |
| 2 612× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 252 | 1671 |
| 1 | 775 | 1646 |
| 2 | 1776 | 1613 |
| 3 | 3767 | 1612 |
| 4 | 6961 | 1566 |
| 0 | 8101 | 1485 |
| 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 x))) |
(* x (+ 1 (* 1/6 x))) |
(* x (+ 1 (* 1/6 x))) |
(* 1/6 (pow x 4)) |
(* (pow x 4) (+ 1/6 (/ 1 (pow x 3)))) |
(* (pow x 4) (+ 1/6 (/ 1 (pow x 3)))) |
(* (pow x 4) (+ 1/6 (/ 1 (pow x 3)))) |
(* -1/6 (pow x 4)) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/6)) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/6)) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/6)) |
x |
x |
x |
x |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
x |
x |
x |
x |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 7/6 x) |
(* x (+ 7/6 (* 1/120 (pow x 5)))) |
(* x (+ 7/6 (* 1/120 (pow x 5)))) |
(* x (+ 7/6 (* 1/120 (pow x 5)))) |
(* 1/6 (pow x 8)) |
(* (pow x 8) (+ 1/6 (/ 1 (pow x 6)))) |
(* (pow x 8) (+ 1/6 (+ (/ 1 (pow x 6)) (/ 1 (pow x 7))))) |
(* (pow x 8) (+ 1/6 (+ (/ 1 (pow x 6)) (/ 1 (pow x 7))))) |
(* 1/120 (pow x 15)) |
(* -1 (* (pow x 15) (- (* 1/6 (/ 1 (pow x 5))) 1/120))) |
(* -1 (* (pow x 15) (- (* 1/6 (/ 1 (pow x 5))) 1/120))) |
(* -1 (* (pow x 15) (- (* -1 (/ (- (/ 1 (pow x 9)) 1/6) (pow x 5))) 1/120))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/120 (pow x 3)))) |
(* x (+ 1/6 (* 1/120 (pow x 3)))) |
(* x (+ 1/6 (* 1/120 (pow x 3)))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* -1/120 (pow x 6)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120)) |
1/6 |
(+ 1/6 (* 1/120 (pow x 3))) |
(+ 1/6 (* 1/120 (pow x 3))) |
(+ 1/6 (* 1/120 (pow x 3))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
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 13)) |
(* (pow x 13) (+ 1/5040 (* 1/6 (/ 1 (pow x 5))))) |
(* (pow x 13) (+ 1/5040 (+ (/ 1/120 (pow x 9)) (* 1/6 (/ 1 (pow x 5)))))) |
(* (pow x 13) (+ 1/5040 (+ (/ 1/120 (pow x 9)) (+ (* 1/6 (/ 1 (pow x 5))) (/ 1 (pow x 12)))))) |
(* -1/5040 (pow x 14)) |
(* (pow x 14) (- (* 1/6 (/ 1 (pow x 5))) 1/5040)) |
(* (pow x 14) (- (+ (/ 1/120 (pow x 9)) (* 1/6 (/ 1 (pow x 5)))) 1/5040)) |
(* (pow x 14) (- (* -1 (/ (- (* -1 (/ (+ 1/120 (/ 1 (pow x 4))) (pow x 4))) 1/6) (pow x 5))) 1/5040)) |
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 12)) |
(* (pow x 12) (+ 1/5040 (* 1/6 (/ 1 (pow x 5))))) |
(* (pow x 12) (+ 1/5040 (+ (/ 1/120 (pow x 9)) (* 1/6 (/ 1 (pow x 5)))))) |
(* (pow x 12) (+ 1/5040 (+ (/ 1/120 (pow x 9)) (+ (* 1/6 (/ 1 (pow x 5))) (/ 1 (pow x 12)))))) |
(* 1/5040 (pow x 12)) |
(* (pow x 12) (- 1/5040 (* 1/6 (/ 1 (pow x 5))))) |
(* (pow x 12) (+ 1/5040 (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow x 4)))) (pow x 5))))) |
(* (pow x 12) (+ 1/5040 (* -1 (/ (- (+ 1/6 (* 1/120 (/ 1 (pow x 4)))) (/ 1 (pow x 7))) (pow x 5))))) |
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))))) |
(* 1/120 (pow x 8)) |
(* (pow x 8) (+ 1/120 (* 1/5040 (/ 1 (pow x 5))))) |
(* (pow x 8) (+ 1/120 (+ (/ 1/6 (pow x 8)) (* 1/5040 (/ 1 (pow x 5)))))) |
(* (pow x 8) (+ 1/120 (+ (/ 1/6 (pow x 8)) (* 1/5040 (/ 1 (pow x 5)))))) |
(* 1/120 (pow x 8)) |
(* (pow x 8) (- 1/120 (* 1/5040 (/ 1 (pow x 5))))) |
(* (pow x 8) (+ 1/120 (* -1 (/ (- 1/5040 (* 1/6 (/ 1 (pow x 3)))) (pow x 5))))) |
(* (pow x 8) (+ 1/120 (* -1 (/ (- 1/5040 (* 1/6 (/ 1 (pow x 3)))) (pow x 5))))) |
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 14)) |
(* 1/5040 (pow x 14)) |
(* (pow x 14) (+ 1/5040 (* 1/120 (/ 1 (pow x 9))))) |
(* (pow x 14) (+ 1/5040 (+ (/ 1/6 (pow x 11)) (* 1/120 (/ 1 (pow x 9)))))) |
(* -1/5040 (pow x 14)) |
(* -1/5040 (pow x 14)) |
(* (pow x 14) (- (* 1/120 (/ 1 (pow x 9))) 1/5040)) |
(* (pow x 14) (- (+ (/ 1/6 (pow x 11)) (* 1/120 (/ 1 (pow x 9)))) 1/5040)) |
(* 2 x) |
(* x (+ 2 (* 1/3 x))) |
(* x (+ 2 (* x (+ 1/3 (* 1/60 x))))) |
(* x (+ 2 (* x (+ 1/3 (* x (+ 1/60 (* 1/2520 x))))))) |
(* 1/2520 (pow x 13)) |
(* 1/2520 (pow x 13)) |
(* (pow x 13) (+ 1/2520 (* 1/60 (/ 1 (pow x 9))))) |
(* (pow x 13) (+ 1/2520 (+ (/ 1/3 (pow x 11)) (* 1/60 (/ 1 (pow x 9)))))) |
(* -1/2520 (pow x 14)) |
(* -1/2520 (pow x 14)) |
(* (pow x 14) (- (* 1/60 (/ 1 (pow x 9))) 1/2520)) |
(* (pow x 14) (- (+ (/ 1/3 (pow x 11)) (* 1/60 (/ 1 (pow x 9)))) 1/2520)) |
2 |
(+ 2 (* 1/3 x)) |
(+ 2 (* x (+ 1/3 (* 1/60 x)))) |
(+ 2 (* x (+ 1/3 (* x (+ 1/60 (* 1/2520 x)))))) |
(* 1/2520 (pow x 12)) |
(* 1/2520 (pow x 12)) |
(* (pow x 12) (+ 1/2520 (* 1/60 (/ 1 (pow x 9))))) |
(* (pow x 12) (+ 1/2520 (+ (/ 1/3 (pow x 11)) (* 1/60 (/ 1 (pow x 9)))))) |
(* 1/2520 (pow x 12)) |
(* 1/2520 (pow x 12)) |
(* (pow x 12) (- 1/2520 (* 1/60 (/ 1 (pow x 9))))) |
(* (pow x 12) (+ 1/2520 (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 9))))) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
x |
x |
x |
x |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/120 x) |
(* x (+ 1/120 (* 1/5040 (pow x 3)))) |
(* x (+ 1/120 (* 1/5040 (pow x 3)))) |
(* x (+ 1/120 (* 1/5040 (pow x 3)))) |
(* 1/5040 (pow x 5)) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 4))))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 5))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 5))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 5))) 1/5040)) |
(* 1/5040 x) |
(* 1/5040 x) |
(* 1/5040 x) |
(* 1/5040 x) |
x |
x |
x |
x |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
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))))) |
(* 1/60 (pow x 8)) |
(* (pow x 8) (+ 1/60 (* 1/2520 (/ 1 (pow x 5))))) |
(* (pow x 8) (+ 1/60 (+ (/ 1/3 (pow x 8)) (* 1/2520 (/ 1 (pow x 5)))))) |
(* (pow x 8) (+ 1/60 (+ (/ 1/3 (pow x 8)) (* 1/2520 (/ 1 (pow x 5)))))) |
(* 1/60 (pow x 8)) |
(* (pow x 8) (- 1/60 (* 1/2520 (/ 1 (pow x 5))))) |
(* (pow x 8) (+ 1/60 (* -1 (/ (- 1/2520 (* 1/3 (/ 1 (pow x 3)))) (pow x 5))))) |
(* (pow x 8) (+ 1/60 (* -1 (/ (- 1/2520 (* 1/3 (/ 1 (pow x 3)))) (pow x 5))))) |
| 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 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 (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 (*.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)))) |
x |
(* x (+ 1 (* 1/6 x))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* 1/6 x))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* 1/6 x))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(* 1/6 (pow x 4)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/6 (/ 1 (pow x 3)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(* (pow x 4) (+ 1/6 (/ 1 (pow x 3)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(* (pow x 4) (+ 1/6 (/ 1 (pow x 3)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(* -1/6 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64)) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/6)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64) x) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/6)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64) x) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/6)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64) x) |
x |
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) |
(* 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 |
x |
x |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 7/6 x) |
(*.f64 x #s(literal 7/6 binary64)) |
(* x (+ 7/6 (* 1/120 (pow x 5)))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 7/6 binary64))) |
(* x (+ 7/6 (* 1/120 (pow x 5)))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 7/6 binary64))) |
(* x (+ 7/6 (* 1/120 (pow x 5)))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 7/6 binary64))) |
(* 1/6 (pow x 8)) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/6 (/ 1 (pow x 6)))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) |
(* (pow x 8) (+ 1/6 (+ (/ 1 (pow x 6)) (/ 1 (pow x 7))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) x))))) |
(* (pow x 8) (+ 1/6 (+ (/ 1 (pow x 6)) (/ 1 (pow x 7))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) x))))) |
(* 1/120 (pow x 15)) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 15 binary64))) |
(* -1 (* (pow x 15) (- (* 1/6 (/ 1 (pow x 5))) 1/120))) |
(*.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) |
(* -1 (* (pow x 15) (- (* 1/6 (/ 1 (pow x 5))) 1/120))) |
(*.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) |
(* -1 (* (pow x 15) (- (* -1 (/ (- (/ 1 (pow x 9)) 1/6) (pow x 5))) 1/120))) |
(*.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* 1/120 (pow x 3)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* 1/120 (pow x 3)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* 1/120 (pow x 3)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* 1/120 (pow x 5)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1/120 (pow x 6)) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal -1/120 binary64)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120)) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal -1/120 binary64))) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120)) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal -1/120 binary64))) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120)) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal -1/120 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 3))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow x 3))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow x 3))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 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 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)))))))) |
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(* 1/5040 (pow x 13)) |
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(* (pow x 13) (+ 1/5040 (* 1/6 (/ 1 (pow x 5))))) |
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(* -1/5040 (pow x 14)) |
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(* (pow x 14) (- (* 1/6 (/ 1 (pow x 5))) 1/5040)) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(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 12)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (+ 1/5040 (* 1/6 (/ 1 (pow x 5))))) |
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(* 1/5040 (pow x 12)) |
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1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* 1/120 (pow x 8)) |
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(* (pow x 8) (+ 1/120 (+ (/ 1/6 (pow x 8)) (* 1/5040 (/ 1 (pow x 5)))))) |
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(* 1/120 (pow x 8)) |
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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 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)))))))) |
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(* 1/5040 (pow x 14)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 14 binary64))) |
(* 1/5040 (pow x 14)) |
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(* (pow x 14) (+ 1/5040 (* 1/120 (/ 1 (pow x 9))))) |
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(* -1/5040 (pow x 14)) |
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(* (pow x 14) (- (* 1/120 (/ 1 (pow x 9))) 1/5040)) |
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(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/3 x))) |
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(* x (+ 2 (* x (+ 1/3 (* 1/60 x))))) |
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(* x (+ 2 (* x (+ 1/3 (* x (+ 1/60 (* 1/2520 x))))))) |
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(* 1/2520 (pow x 13)) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/2520 binary64)) |
(* 1/2520 (pow x 13)) |
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(* (pow x 13) (+ 1/2520 (* 1/60 (/ 1 (pow x 9))))) |
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(* -1/2520 (pow x 14)) |
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(* (pow x 14) (- (* 1/60 (/ 1 (pow x 9))) 1/2520)) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 2 binary64)) |
(+ 2 (* x (+ 1/3 (* 1/60 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(+ 2 (* x (+ 1/3 (* x (+ 1/60 (* 1/2520 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(* 1/2520 (pow x 12)) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/2520 binary64)) |
(* 1/2520 (pow x 12)) |
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 12) (+ 1/2520 (* 1/60 (/ 1 (pow x 9))))) |
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(* 1/2520 (pow x 12)) |
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(* 1/2520 (pow x 12)) |
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(* (pow x 12) (- 1/2520 (* 1/60 (/ 1 (pow x 9))))) |
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(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
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(*.f64 x #s(literal 1/120 binary64)) |
x |
x |
x |
x |
(* -1 x) |
(neg.f64 x) |
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(neg.f64 x) |
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(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* x (+ 1/120 (* 1/5040 (pow x 3)))) |
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(* 1/5040 (pow x 5)) |
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(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 4))))) |
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(* (pow x 6) (- (* 1/120 (/ 1 (pow x 5))) 1/5040)) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 5))) 1/5040)) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 5))) 1/5040)) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal -1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) |
(* 1/5040 x) |
(*.f64 x #s(literal 1/5040 binary64)) |
(* 1/5040 x) |
(*.f64 x #s(literal 1/5040 binary64)) |
(* 1/5040 x) |
(*.f64 x #s(literal 1/5040 binary64)) |
(* 1/5040 x) |
(*.f64 x #s(literal 1/5040 binary64)) |
x |
x |
x |
x |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
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)) |
(* 1/60 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 8) (+ 1/60 (* 1/2520 (/ 1 (pow x 5))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/2520 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) |
(* (pow x 8) (+ 1/60 (+ (/ 1/3 (pow x 8)) (* 1/2520 (/ 1 (pow x 5)))))) |
(fma.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/2520 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) #s(literal 1/3 binary64)) |
(* (pow x 8) (+ 1/60 (+ (/ 1/3 (pow x 8)) (* 1/2520 (/ 1 (pow x 5)))))) |
(fma.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/2520 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) #s(literal 1/3 binary64)) |
(* 1/60 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 8) (- 1/60 (* 1/2520 (/ 1 (pow x 5))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal -1/2520 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) |
(* (pow x 8) (+ 1/60 (* -1 (/ (- 1/2520 (* 1/3 (/ 1 (pow x 3)))) (pow x 5))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) |
(* (pow x 8) (+ 1/60 (* -1 (/ (- 1/2520 (* 1/3 (/ 1 (pow x 3)))) (pow x 5))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 (+.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) |
Compiled 27 392 to 2 245 computations (91.8% saved)
24 alts after pruning (21 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 750 | 21 | 771 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 752 | 24 | 776 |
| Status | Accuracy | Program |
|---|---|---|
| 89.5% | (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) | |
| ▶ | 89.5% | (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
| ▶ | 85.3% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
| 85.0% | (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x) | |
| 92.0% | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x) | |
| 89.5% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) | |
| 91.3% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) | |
| 92.4% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))) x) | |
| ▶ | 92.0% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x) |
| ✓ | 85.0% | (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
| 89.5% | (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x) | |
| 78.0% | (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) | |
| 85.0% | (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) | |
| 87.6% | (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) x) | |
| 89.5% | (+.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) x) | |
| 54.1% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 92.6% | (*.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))) |
| 92.9% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ▶ | 94.2% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 51.9% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 7/6 binary64))) | |
| 14.1% | (*.f64 x #s(literal 7/6 binary64)) | |
| ▶ | 53.0% | (*.f64 x #s(literal 1 binary64)) |
| 40.4% | (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| ✓ | 100.0% | (sinh.f64 x) |
Compiled 615 to 331 computations (46.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x) |
| ✓ | 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 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
| ✓ | cost-diff | 320 | (*.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 792× | lower-fma.f32 |
| 780× | lower-fma.f64 |
| 652× | lower-*.f32 |
| 626× | lower-*.f64 |
| 418× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 212 |
| 0 | 49 | 181 |
| 1 | 115 | 161 |
| 2 | 357 | 148 |
| 3 | 670 | 144 |
| 4 | 728 | 142 |
| 5 | 753 | 142 |
| 6 | 756 | 142 |
| 7 | 756 | 142 |
| 8 | 780 | 141 |
| 9 | 789 | 141 |
| 0 | 789 | 136 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
#s(literal 1/5040 binary64) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#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) |
(*.f64 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 #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/120 binary64) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/6 binary64)) x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(literal 1/5040 binary64) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 1 binary64)) |
x |
x |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#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 (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x 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 #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))) x) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))) |
#s(literal 1/120 binary64) |
(*.f64 x (*.f64 x x)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 43.1% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x) |
| ✓ | accuracy | 38.3% | (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 7.1% | (*.f64 x x) |
| ✓ | accuracy | 6.1% | (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 31.0% | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 11.8% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 10.5% | (*.f64 x #s(literal 1/120 binary64)) |
| ✓ | accuracy | 4.5% | (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
| ✓ | accuracy | 59.2% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 53.5% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
| ✓ | accuracy | 7.1% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 10.1% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 7.1% | (*.f64 x x) |
| ✓ | accuracy | 4.3% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 3.6% | (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
| 68.0ms | 256× | 0 | valid |
Compiled 439 to 56 computations (87.2% saved)
ival-mult: 26.0ms (62.6% of total)const: 9.0ms (21.7% of total)ival-add: 6.0ms (14.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))> |
#<alt (*.f64 x #s(literal 1 binary64))> |
#<alt (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)> |
#<alt (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))> |
#<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 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x)> |
#<alt (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))> |
#<alt (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))> |
#<alt (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))> |
#<alt (*.f64 x #s(literal 1/120 binary64))> |
#<alt (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6))))))> |
#<alt (* 1/6 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 8) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))> |
#<alt (* (pow x 8) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))> |
#<alt (* 1/6 (pow x 9))> |
#<alt (* (pow x 9) (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))))> |
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 1/5040 (/ 1 (pow x 4))) (pow x 4))) 1/6)))> |
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 1/5040 (/ 1 (pow x 4))) (pow x 4))) 1/6)))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6)))))> |
#<alt (* 1/6 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 7) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))> |
#<alt (* (pow x 7) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))> |
#<alt (* -1/6 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 1/6 (* 1/5040 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/5040 (pow x 3)))> |
#<alt (+ 1/6 (* 1/5040 (pow x 3)))> |
#<alt (+ 1/6 (* 1/5040 (pow x 3)))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 x)))> |
#<alt (* x (+ 1 (* 1/6 x)))> |
#<alt (* x (+ 1 (* 1/6 x)))> |
#<alt (* 1/6 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/6 (/ 1 (pow x 3))))> |
#<alt (* (pow x 4) (+ 1/6 (/ 1 (pow x 3))))> |
#<alt (* (pow x 4) (+ 1/6 (/ 1 (pow x 3))))> |
#<alt (* -1/6 (pow x 4))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 3)) 1/6))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 3)) 1/6))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 3)) 1/6))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 7/6 x)> |
#<alt (* x (+ 7/6 (* 1/120 (pow x 5))))> |
#<alt (* x (+ 7/6 (* 1/120 (pow x 5))))> |
#<alt (* x (+ 7/6 (* 1/120 (pow x 5))))> |
#<alt (* 1/6 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/6 (/ 1 (pow x 6))))> |
#<alt (* (pow x 8) (+ 1/6 (+ (/ 1 (pow x 6)) (/ 1 (pow x 7)))))> |
#<alt (* (pow x 8) (+ 1/6 (+ (/ 1 (pow x 6)) (/ 1 (pow x 7)))))> |
#<alt (* 1/120 (pow x 15))> |
#<alt (* -1 (* (pow x 15) (- (* 1/6 (/ 1 (pow x 5))) 1/120)))> |
#<alt (* -1 (* (pow x 15) (- (* 1/6 (/ 1 (pow x 5))) 1/120)))> |
#<alt (* -1 (* (pow x 15) (- (* -1 (/ (- (/ 1 (pow x 9)) 1/6) (pow x 5))) 1/120)))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/120 x)))> |
#<alt (* x (+ 1/6 (* 1/120 x)))> |
#<alt (* x (+ 1/6 (* 1/120 x)))> |
#<alt (* 1/120 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/120 (pow x 3))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow x 3))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow x 3))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* -1/120 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120))> |
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120))> |
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow x 3)))> |
#<alt (+ 1/6 (* 1/120 (pow x 3)))> |
#<alt (+ 1/6 (* 1/120 (pow x 3)))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/120 x)))> |
#<alt (* x (+ 1 (* 1/120 x)))> |
#<alt (* x (+ 1 (* 1/120 x)))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (/ 1 (pow x 3))))> |
#<alt (* (pow x 4) (+ 1/120 (/ 1 (pow x 3))))> |
#<alt (* (pow x 4) (+ 1/120 (/ 1 (pow x 3))))> |
#<alt (* -1/120 (pow x 4))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 3)) 1/120))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 3)) 1/120))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 3)) 1/120))> |
#<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 (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 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (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 (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (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 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<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 (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)> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | x | @ | -inf | (* x (* 1/120 (* x (* x x)))) |
| 1.0ms | x | @ | -inf | (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) |
| 1.0ms | x | @ | -inf | (* x (+ (* (* x x) (+ (* x (* 1/5040 (* (* x (* x (* x x))) x))) 1/6)) 1)) |
| 1.0ms | x | @ | inf | (* x (+ (* (* x x) (+ (* x (* 1/5040 (* (* x (* x (* x x))) x))) 1/6)) 1)) |
| 1.0ms | x | @ | -inf | (* x (+ (* x (* x 1/120)) 1/6)) |
Compiled 476 to 382 computations (19.7% saved)
| 1× | batch-egg-rewrite |
| 9 688× | lower-fma.f32 |
| 9 676× | lower-fma.f64 |
| 5 406× | lower-*.f32 |
| 5 380× | lower-*.f64 |
| 3 680× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 167 |
| 0 | 49 | 144 |
| 1 | 183 | 128 |
| 2 | 1296 | 117 |
| 0 | 8332 | 115 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) |
(*.f64 x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(*.f64 x (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
(*.f64 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))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(*.f64 x #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) x) |
(+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) x))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) x) |
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) x x) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) x))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))) |
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(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal -1 binary64))))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) x) (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(*.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/5040 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/5040 binary64)) |
(*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x))) |
(*.f64 (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x) x) |
(*.f64 x #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/120 binary64))) |
(*.f64 #s(literal 1/120 binary64) x) |
(*.f64 (*.f64 x #s(literal 1/120 binary64)) #s(literal 1 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 6 678× | lower-fma.f64 |
| 6 678× | lower-fma.f32 |
| 4 768× | lower-*.f64 |
| 4 768× | lower-*.f32 |
| 1 978× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 123 | 1279 |
| 1 | 348 | 1273 |
| 2 | 758 | 1204 |
| 3 | 1594 | 1198 |
| 4 | 3253 | 1144 |
| 5 | 6414 | 1144 |
| 0 | 8604 | 1082 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6)))))) |
(* 1/6 (pow x 8)) |
(* (pow x 8) (+ 1/6 (* 1/5040 (/ 1 (pow x 4))))) |
(* (pow x 8) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(* (pow x 8) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(* 1/6 (pow x 9)) |
(* (pow x 9) (+ 1/6 (* 1/5040 (/ 1 (pow x 4))))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/5040 (/ 1 (pow x 4))) (pow x 4))) 1/6))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/5040 (/ 1 (pow x 4))) (pow x 4))) 1/6))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6))))) |
(* 1/6 (pow x 7)) |
(* (pow x 7) (+ 1/6 (* 1/5040 (/ 1 (pow x 4))))) |
(* (pow x 7) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(* (pow x 7) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(* -1/6 (pow x 7)) |
(* -1 (* (pow x 7) (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 7) (- (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))) (/ 1 (pow x 7))))) |
(* -1 (* (pow x 7) (- (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))) (/ 1 (pow x 7))))) |
x |
x |
x |
x |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/6 |
(+ 1/6 (* 1/5040 (pow x 3))) |
(+ 1/6 (* 1/5040 (pow x 3))) |
(+ 1/6 (* 1/5040 (pow x 3))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
x |
x |
x |
x |
x |
x |
x |
x |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
(* x (+ 1 (* 1/6 x))) |
(* x (+ 1 (* 1/6 x))) |
(* x (+ 1 (* 1/6 x))) |
(* 1/6 (pow x 4)) |
(* (pow x 4) (+ 1/6 (/ 1 (pow x 3)))) |
(* (pow x 4) (+ 1/6 (/ 1 (pow x 3)))) |
(* (pow x 4) (+ 1/6 (/ 1 (pow x 3)))) |
(* -1/6 (pow x 4)) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/6)) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/6)) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/6)) |
x |
x |
x |
x |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 7/6 x) |
(* x (+ 7/6 (* 1/120 (pow x 5)))) |
(* x (+ 7/6 (* 1/120 (pow x 5)))) |
(* x (+ 7/6 (* 1/120 (pow x 5)))) |
(* 1/6 (pow x 8)) |
(* (pow x 8) (+ 1/6 (/ 1 (pow x 6)))) |
(* (pow x 8) (+ 1/6 (+ (/ 1 (pow x 6)) (/ 1 (pow x 7))))) |
(* (pow x 8) (+ 1/6 (+ (/ 1 (pow x 6)) (/ 1 (pow x 7))))) |
(* 1/120 (pow x 15)) |
(* -1 (* (pow x 15) (- (* 1/6 (/ 1 (pow x 5))) 1/120))) |
(* -1 (* (pow x 15) (- (* 1/6 (/ 1 (pow x 5))) 1/120))) |
(* -1 (* (pow x 15) (- (* -1 (/ (- (/ 1 (pow x 9)) 1/6) (pow x 5))) 1/120))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/120 x))) |
(* x (+ 1/6 (* 1/120 x))) |
(* x (+ 1/6 (* 1/120 x))) |
(* 1/120 (pow x 8)) |
(* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* 1/120 (pow x 8)) |
(* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/120 (pow x 3)))) |
(* x (+ 1/6 (* 1/120 (pow x 3)))) |
(* x (+ 1/6 (* 1/120 (pow x 3)))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* -1/120 (pow x 6)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120)) |
1/6 |
(+ 1/6 (* 1/120 (pow x 3))) |
(+ 1/6 (* 1/120 (pow x 3))) |
(+ 1/6 (* 1/120 (pow x 3))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
x |
(* x (+ 1 (* 1/120 x))) |
(* x (+ 1 (* 1/120 x))) |
(* x (+ 1 (* 1/120 x))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (/ 1 (pow x 3)))) |
(* (pow x 4) (+ 1/120 (/ 1 (pow x 3)))) |
(* (pow x 4) (+ 1/120 (/ 1 (pow x 3)))) |
(* -1/120 (pow x 4)) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/120)) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/120)) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/120)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (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 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (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) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (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 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
x |
x |
x |
x |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6)))))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 9 binary64)) x)) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6)))))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 9 binary64)) x)) |
(* 1/6 (pow x 8)) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/6 (* 1/5040 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 8) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) |
(* (pow x 8) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) |
(* 1/6 (pow x 9)) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (+ 1/6 (* 1/5040 (/ 1 (pow x 4))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/5040 (/ 1 (pow x 4))) (pow x 4))) 1/6))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/5040 (/ 1 (pow x 4))) (pow x 4))) 1/6))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.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 (* 1/5040 (pow x 6))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) |
(* 1/6 (pow x 7)) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/6 (* 1/5040 (/ 1 (pow x 4))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)) #s(literal 1 binary64)) |
(* (pow x 7) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)) #s(literal 1 binary64)) |
(* -1/6 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/6 binary64)) |
(* -1 (* (pow x 7) (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 7) (- (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))) (/ 1 (pow x 7))))) |
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) |
(* -1 (* (pow x 7) (- (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))) (/ 1 (pow x 7))))) |
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) |
x |
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) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/5040 (pow x 3))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/5040 (pow x 3))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/5040 (pow x 3))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 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 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) #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 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) |
x |
x |
x |
x |
x |
x |
x |
x |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
x |
(* x (+ 1 (* 1/6 x))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* 1/6 x))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* 1/6 x))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(* 1/6 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/6 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) x) |
(* (pow x 4) (+ 1/6 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) x) |
(* (pow x 4) (+ 1/6 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) x) |
(* -1/6 (pow x 4)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) x) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/6)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)) x) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/6)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)) x) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/6)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)) x) |
x |
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) |
(* 7/6 x) |
(*.f64 x #s(literal 7/6 binary64)) |
(* x (+ 7/6 (* 1/120 (pow x 5)))) |
(fma.f64 x #s(literal 7/6 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/120 binary64))) |
(* x (+ 7/6 (* 1/120 (pow x 5)))) |
(fma.f64 x #s(literal 7/6 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/120 binary64))) |
(* x (+ 7/6 (* 1/120 (pow x 5)))) |
(fma.f64 x #s(literal 7/6 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/120 binary64))) |
(* 1/6 (pow x 8)) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/6 (/ 1 (pow x 6)))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* (pow x 8) (+ 1/6 (+ (/ 1 (pow x 6)) (/ 1 (pow x 7))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) |
(* (pow x 8) (+ 1/6 (+ (/ 1 (pow x 6)) (/ 1 (pow x 7))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) |
(* 1/120 (pow x 15)) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 15 binary64))) |
(* -1 (* (pow x 15) (- (* 1/6 (/ 1 (pow x 5))) 1/120))) |
(*.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* -1 (* (pow x 15) (- (* 1/6 (/ 1 (pow x 5))) 1/120))) |
(*.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(* -1 (* (pow x 15) (- (* -1 (/ (- (/ 1 (pow x 9)) 1/6) (pow x 5))) 1/120))) |
(*.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (pow.f64 x #s(literal 5 binary64))))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* 1/120 x))) |
(*.f64 x (fma.f64 x #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* 1/120 x))) |
(*.f64 x (fma.f64 x #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* 1/120 x))) |
(*.f64 x (fma.f64 x #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(* 1/120 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))) |
(* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))) |
(* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))) |
(* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))) |
(* (pow x 8) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* 1/120 (pow x 3)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* 1/120 (pow x 3)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* 1/120 (pow x 3)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* 1/120 (pow x 5)) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))) |
(* -1/120 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/120 binary64)) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120)) |
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/120 binary64))) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120)) |
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/120 binary64))) |
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 5))) 1/120)) |
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/120 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 3))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow x 3))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow x 3))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
x |
(* x (+ 1 (* 1/120 x))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(* x (+ 1 (* 1/120 x))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(* x (+ 1 (* 1/120 x))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(* (pow x 4) (+ 1/120 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(* (pow x 4) (+ 1/120 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(* -1/120 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/120 binary64))) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/120)) |
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/120 binary64)) x) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/120)) |
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/120 binary64)) x) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/120)) |
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/120 binary64)) x) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 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) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 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) |
(* 1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5040 binary64))) |
(* 1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5040 binary64))) |
(* 1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5040 binary64))) |
(* 1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/5040 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) |
(* 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 |
x |
x |
x |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 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) |
Compiled 30 616 to 2 245 computations (92.7% saved)
26 alts after pruning (22 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 839 | 19 | 858 |
| Fresh | 13 | 3 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 856 | 26 | 882 |
| Status | Accuracy | Program |
|---|---|---|
| 92.4% | (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x x) | |
| ✓ | 89.5% | (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
| 92.0% | (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) x x) | |
| ✓ | 85.3% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
| 92.0% | (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) x) | |
| 92.0% | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) x) | |
| ▶ | 92.0% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) x) |
| 92.0% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) x) | |
| 91.3% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) x) | |
| 89.1% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) x) | |
| ▶ | 87.6% | (fma.f64 (*.f64 x x) (*.f64 x x) x) |
| 78.0% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) | |
| 78.0% | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x x) | |
| 78.2% | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) | |
| 94.2% | (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 94.2% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x #s(literal 1/5040 binary64)) x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 94.2% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 54.1% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 92.6% | (*.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))) |
| 92.9% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 91.6% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ▶ | 92.8% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ▶ | 94.2% | (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) |
| 14.1% | (*.f64 x #s(literal 7/6 binary64)) | |
| ✓ | 100.0% | (sinh.f64 x) |
| ▶ | 53.0% | x |
Compiled 737 to 373 computations (49.4% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x x) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) |
| 910× | lower-fma.f32 |
| 898× | lower-fma.f64 |
| 668× | lower-*.f32 |
| 644× | lower-*.f64 |
| 486× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 270 |
| 0 | 51 | 226 |
| 1 | 125 | 186 |
| 2 | 313 | 168 |
| 3 | 700 | 162 |
| 4 | 886 | 162 |
| 5 | 958 | 162 |
| 6 | 972 | 162 |
| 7 | 972 | 162 |
| 8 | 972 | 160 |
| 9 | 1017 | 160 |
| 10 | 1039 | 160 |
| 0 | 1039 | 149 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) |
(*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) |
(*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/5040 binary64) |
(*.f64 x (*.f64 x x)) |
#s(literal 1/6 binary64) |
x |
(fma.f64 (*.f64 x x) (*.f64 x x) x) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) x) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) |
(*.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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
#s(literal 1/5040 binary64) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 x x)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) x) |
x |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) |
(*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/5040 binary64) |
(*.f64 x (*.f64 x x)) |
#s(literal 1/6 binary64) |
x |
(fma.f64 (*.f64 x x) (*.f64 x x) x) |
(fma.f64 x (*.f64 x (*.f64 x x)) x) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) x) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) |
(*.f64 x (*.f64 (*.f64 x (*.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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
#s(literal 1/5040 binary64) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 30.8% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 7.1% | (*.f64 x x) |
| ✓ | accuracy | 6.3% | (*.f64 (*.f64 x (*.f64 x x)) x) |
| ✓ | accuracy | 4.4% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 42.2% | (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) |
| ✓ | accuracy | 32.2% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) x) |
| ✓ | accuracy | 7.1% | (*.f64 x x) |
| ✓ | accuracy | 6.3% | (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) |
| ✓ | accuracy | 53.5% | (fma.f64 (*.f64 x x) (*.f64 x x) x) |
| ✓ | accuracy | 7.1% | (*.f64 x x) |
| ✓ | accuracy | 4.4% | (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) |
| ✓ | accuracy | 3.9% | (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 3.0% | (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 2.9% | (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x) |
| 97.0ms | 256× | 0 | valid |
Compiled 557 to 58 computations (89.6% saved)
ival-add: 44.0ms (53.3% of total)ival-mult: 26.0ms (31.5% of total)const: 9.0ms (10.9% of total)ival-div: 3.0ms (3.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 (*.f64 x x) (*.f64 x x) x)> |
#<alt (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) x)> |
#<alt (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)))> |
#<alt (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64))> |
#<alt (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))> |
#<alt (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))> |
#<alt (*.f64 (*.f64 x (*.f64 x x)) x)> |
| Outputs |
|---|
#<alt 1/6> |
#<alt (+ 1/6 (* 1/5040 (pow x 3)))> |
#<alt (+ 1/6 (* 1/5040 (pow x 3)))> |
#<alt (+ 1/6 (* 1/5040 (pow x 3)))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6))))))> |
#<alt (* 1/6 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 8) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))> |
#<alt (* (pow x 8) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))> |
#<alt (* 1/6 (pow x 9))> |
#<alt (* (pow x 9) (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))))> |
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 1/5040 (/ 1 (pow x 4))) (pow x 4))) 1/6)))> |
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 1/5040 (/ 1 (pow x 4))) (pow x 4))) 1/6)))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6)))))> |
#<alt (* 1/6 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 7) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))> |
#<alt (* (pow x 7) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))> |
#<alt (* -1/6 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (+ 1/6 (* 1/5040 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))) (/ 1 (pow x 7)))))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (pow x 3)> |
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/120 x)))> |
#<alt (* x (+ 1 (* 1/120 x)))> |
#<alt (* x (+ 1 (* 1/120 x)))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (/ 1 (pow x 3))))> |
#<alt (* (pow x 4) (+ 1/120 (/ 1 (pow x 3))))> |
#<alt (* (pow x 4) (+ 1/120 (/ 1 (pow x 3))))> |
#<alt (* -1/120 (pow x 4))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 3)) 1/120))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 3)) 1/120))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 3)) 1/120))> |
#<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 (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 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (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 x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6))))))> |
#<alt (* 1/6 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 8) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))> |
#<alt (* (pow x 8) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))> |
#<alt (* -1/5040 (pow x 11))> |
#<alt (* -1 (* (pow x 11) (- 1/5040 (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* -1 (* (pow x 11) (+ 1/5040 (* -1 (/ (+ 1/6 (/ 1 (pow x 4))) (pow x 6))))))> |
#<alt (* -1 (* (pow x 11) (+ 1/5040 (* -1 (/ (+ 1/6 (/ 1 (pow x 4))) (pow x 6))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6)))))> |
#<alt (* 1/6 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 7) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))> |
#<alt (* (pow x 7) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7)))))> |
#<alt (* 1/5040 (pow x 9))> |
#<alt (* -1 (* (pow x 9) (- (* 1/6 (/ 1 (pow x 6))) 1/5040)))> |
#<alt (* -1 (* (pow x 9) (- (* 1/6 (/ 1 (pow x 6))) (+ 1/5040 (/ 1 (pow x 9))))))> |
#<alt (* -1 (* (pow x 9) (- (* 1/6 (/ 1 (pow x 6))) (+ 1/5040 (/ 1 (pow x 9))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/5040 (pow x 3)))> |
#<alt (+ 1/6 (* 1/5040 (pow x 3)))> |
#<alt (+ 1/6 (* 1/5040 (pow x 3)))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/5040))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (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 6> |
#<alt (+ 6 (* -1/140 (pow x 4)))> |
#<alt (+ 6 (* (pow x 4) (- (* 1/117600 (pow x 4)) 1/140)))> |
#<alt (+ 6 (* (pow x 4) (- (* (pow x 4) (+ 1/117600 (* -1/98784000 (pow x 4)))) 1/140)))> |
#<alt (/ 5040 (pow x 4))> |
#<alt (/ (- 5040 (* 4233600 (/ 1 (pow x 4)))) (pow x 4))> |
#<alt (/ (- (+ 5040 (/ 3556224000 (pow x 8))) (* 4233600 (/ 1 (pow x 4)))) (pow x 4))> |
#<alt (/ (- (+ 5040 (/ 3556224000 (pow x 8))) (+ (* 4233600 (/ 1 (pow x 4))) (* 2987228160000 (/ 1 (pow x 12))))) (pow x 4))> |
#<alt (/ 5040 (pow x 4))> |
#<alt (/ (- 5040 (* 4233600 (/ 1 (pow x 4)))) (pow x 4))> |
#<alt (/ (- (+ 5040 (/ 3556224000 (pow x 8))) (* 4233600 (/ 1 (pow x 4)))) (pow x 4))> |
#<alt (/ (- (+ 5040 (/ 3556224000 (pow x 8))) (+ (* 4233600 (/ 1 (pow x 4))) (* 2987228160000 (/ 1 (pow x 12))))) (pow x 4))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (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 x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (+ (* x (* 1/5040 (* (* x (* x x)) x))) 1/6) |
| 3.0ms | x | @ | -inf | (* x (+ (* (* x x) (+ (* x (* 1/5040 (* (* x (* x x)) x))) 1/6)) 1)) |
| 1.0ms | x | @ | -inf | (+ (* (* x x) (+ (* x (* 1/5040 (* (* x (* x x)) x))) 1/6)) 1) |
| 1.0ms | x | @ | -inf | (* x (+ (* (* x x) (/ 1 (/ 1 (+ (* x (* x (* (* 1/5040 (* x (* x x))) x))) 1/6)))) 1)) |
| 1.0ms | x | @ | inf | (* x (+ (* (* x x) (+ (* x (* 1/5040 (* (* x (* x x)) x))) 1/6)) 1)) |
Compiled 453 to 370 computations (18.3% saved)
| 1× | batch-egg-rewrite |
| 9 452× | lower-fma.f32 |
| 9 440× | lower-fma.f64 |
| 4 592× | lower-*.f32 |
| 4 568× | lower-*.f64 |
| 3 366× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 200 |
| 0 | 51 | 166 |
| 1 | 210 | 132 |
| 2 | 1364 | 117 |
| 0 | 8276 | 107 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (*.f64 x x) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) x) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
| Outputs |
|---|
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(+.f64 #s(literal 1/6 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))))) |
(+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64))) #s(literal 1/6 binary64)) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64))) #s(literal 1/6 binary64)) |
(exp.f64 (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/5040 binary64)) #s(literal -1/6 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) x #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))))) |
(fma.f64 (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/5040 binary64) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) |
(neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/5040 binary64)) #s(literal -1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal 1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64))))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/5040 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/5040 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal 1/216 binary64)) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64))) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal 1/216 binary64)) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64))) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64))))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) |
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(pow.f64 (pow.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/5040 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/5040 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/5040 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64))) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal 1/216 binary64)))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64))) #s(literal -1/36 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal 1/216 binary64))) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64))) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal 1/216 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64))) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64))) #s(literal -1/36 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal 1/216 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64))) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/25401600 binary64))) #s(literal -1/36 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/5040 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64)) |
(*.f64 (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/5040 binary64)) x) x) |
(*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) x) |
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 8 440× | lower-fma.f64 |
| 8 440× | lower-fma.f32 |
| 3 122× | lower-*.f64 |
| 3 122× | lower-*.f32 |
| 2 288× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1319 |
| 1 | 379 | 1305 |
| 2 | 916 | 1200 |
| 3 | 2149 | 1182 |
| 4 | 4420 | 1158 |
| 5 | 7738 | 1158 |
| 0 | 8039 | 1079 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/6 |
(+ 1/6 (* 1/5040 (pow x 3))) |
(+ 1/6 (* 1/5040 (pow x 3))) |
(+ 1/6 (* 1/5040 (pow x 3))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6)))))) |
(* 1/6 (pow x 8)) |
(* (pow x 8) (+ 1/6 (* 1/5040 (/ 1 (pow x 4))))) |
(* (pow x 8) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(* (pow x 8) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(* 1/6 (pow x 9)) |
(* (pow x 9) (+ 1/6 (* 1/5040 (/ 1 (pow x 4))))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/5040 (/ 1 (pow x 4))) (pow x 4))) 1/6))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/5040 (/ 1 (pow x 4))) (pow x 4))) 1/6))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6))))) |
(* 1/6 (pow x 7)) |
(* (pow x 7) (+ 1/6 (* 1/5040 (/ 1 (pow x 4))))) |
(* (pow x 7) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(* (pow x 7) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(* -1/6 (pow x 7)) |
(* -1 (* (pow x 7) (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 7) (- (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))) (/ 1 (pow x 7))))) |
(* -1 (* (pow x 7) (- (+ 1/6 (* 1/5040 (/ 1 (pow x 4)))) (/ 1 (pow x 7))))) |
x |
x |
x |
x |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (* 1/120 x))) |
(* x (+ 1 (* 1/120 x))) |
(* x (+ 1 (* 1/120 x))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (/ 1 (pow x 3)))) |
(* (pow x 4) (+ 1/120 (/ 1 (pow x 3)))) |
(* (pow x 4) (+ 1/120 (/ 1 (pow x 3)))) |
(* -1/120 (pow x 4)) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/120)) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/120)) |
(* (pow x 4) (- (/ 1 (pow x 3)) 1/120)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (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 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (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) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6)))))) |
(* 1/6 (pow x 8)) |
(* (pow x 8) (+ 1/6 (* 1/5040 (/ 1 (pow x 4))))) |
(* (pow x 8) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(* (pow x 8) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(* -1/5040 (pow x 11)) |
(* -1 (* (pow x 11) (- 1/5040 (* 1/6 (/ 1 (pow x 6)))))) |
(* -1 (* (pow x 11) (+ 1/5040 (* -1 (/ (+ 1/6 (/ 1 (pow x 4))) (pow x 6)))))) |
(* -1 (* (pow x 11) (+ 1/5040 (* -1 (/ (+ 1/6 (/ 1 (pow x 4))) (pow x 6)))))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6))))) |
(* 1/6 (pow x 7)) |
(* (pow x 7) (+ 1/6 (* 1/5040 (/ 1 (pow x 4))))) |
(* (pow x 7) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(* (pow x 7) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(* 1/5040 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/6 (/ 1 (pow x 6))) 1/5040))) |
(* -1 (* (pow x 9) (- (* 1/6 (/ 1 (pow x 6))) (+ 1/5040 (/ 1 (pow x 9)))))) |
(* -1 (* (pow x 9) (- (* 1/6 (/ 1 (pow x 6))) (+ 1/5040 (/ 1 (pow x 9)))))) |
1/6 |
(+ 1/6 (* 1/5040 (pow x 3))) |
(+ 1/6 (* 1/5040 (pow x 3))) |
(+ 1/6 (* 1/5040 (pow x 3))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/5040)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/5040)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/5040)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (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) |
6 |
(+ 6 (* -1/140 (pow x 4))) |
(+ 6 (* (pow x 4) (- (* 1/117600 (pow x 4)) 1/140))) |
(+ 6 (* (pow x 4) (- (* (pow x 4) (+ 1/117600 (* -1/98784000 (pow x 4)))) 1/140))) |
(/ 5040 (pow x 4)) |
(/ (- 5040 (* 4233600 (/ 1 (pow x 4)))) (pow x 4)) |
(/ (- (+ 5040 (/ 3556224000 (pow x 8))) (* 4233600 (/ 1 (pow x 4)))) (pow x 4)) |
(/ (- (+ 5040 (/ 3556224000 (pow x 8))) (+ (* 4233600 (/ 1 (pow x 4))) (* 2987228160000 (/ 1 (pow x 12))))) (pow x 4)) |
(/ 5040 (pow x 4)) |
(/ (- 5040 (* 4233600 (/ 1 (pow x 4)))) (pow x 4)) |
(/ (- (+ 5040 (/ 3556224000 (pow x 8))) (* 4233600 (/ 1 (pow x 4)))) (pow x 4)) |
(/ (- (+ 5040 (/ 3556224000 (pow x 8))) (+ (* 4233600 (/ 1 (pow x 4))) (* 2987228160000 (/ 1 (pow x 12))))) (pow x 4)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (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) |
x |
x |
x |
x |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/5040 (pow x 3))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/5040 (pow x 3))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/5040 (pow x 3))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/5040 (* 1/6 (/ 1 (pow x 4))))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) 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 (* 1/5040 (pow x 6)))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 6)))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) x) |
(* 1/6 (pow x 8)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* (pow x 8) (+ 1/6 (* 1/5040 (/ 1 (pow x 4))))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x)))) |
(* (pow x 8) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* (pow x 8) (+ 1/6 (+ (* 1/5040 (/ 1 (pow x 4))) (/ 1 (pow x 7))))) |
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(/.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -4233600 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/ (- (+ 5040 (/ 3556224000 (pow x 8))) (* 4233600 (/ 1 (pow x 4)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 5040 binary64) (+.f64 (/.f64 #s(literal 3556224000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal -4233600 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/ (- (+ 5040 (/ 3556224000 (pow x 8))) (+ (* 4233600 (/ 1 (pow x 4))) (* 2987228160000 (/ 1 (pow x 12))))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 5040 binary64) (-.f64 (/.f64 #s(literal 3556224000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x))) (-.f64 (/.f64 #s(literal 2987228160000 binary64) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal -4233600 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* 1/5040 (pow x 2)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) |
(* 1/5040 (pow x 2)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) |
(* 1/5040 (pow x 2)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) |
(* 1/5040 (pow x 2)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
x |
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) |
Compiled 34 449 to 2 233 computations (93.5% saved)
27 alts after pruning (20 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 848 | 14 | 862 |
| Fresh | 11 | 6 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 861 | 27 | 888 |
| Status | Accuracy | Program |
|---|---|---|
| 92.0% | (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) x x) | |
| 92.0% | (fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) | |
| 92.4% | (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x x) | |
| ✓ | 89.5% | (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
| 92.0% | (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) | |
| 87.6% | (fma.f64 (*.f64 x (*.f64 x x)) x x) | |
| ✓ | 85.3% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
| 92.0% | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) x) | |
| ✓ | 92.0% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) x) |
| 92.0% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) x) | |
| 91.3% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) x) | |
| 89.1% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) x) | |
| ✓ | 87.6% | (fma.f64 (*.f64 x x) (*.f64 x x) x) |
| 78.2% | (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) x) | |
| 84.9% | (fma.f64 x (*.f64 x x) x) | |
| 77.9% | (fma.f64 x x x) | |
| 87.6% | (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) | |
| ✓ | 92.6% | (*.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))) |
| 91.6% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 37.9% | (*.f64 x (*.f64 x x)) | |
| 45.5% | (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) | |
| 46.5% | (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x))))) | |
| 31.9% | (*.f64 x x) | |
| 45.5% | (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x))) | |
| 46.5% | (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x)))) | |
| ✓ | 100.0% | (sinh.f64 x) |
| ✓ | 53.0% | x |
Compiled 1 114 to 319 computations (71.4% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal 7/6 binary64)) |
(*.f64 x x) |
(fma.f64 x x x) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 x (*.f64 x x) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) |
(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 x) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 x (*.f64 x x)) x x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) 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 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x 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 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 7/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) x x) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) x x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) 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 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x #s(literal 1/5040 binary64)) x) (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(sinh.f64 x) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Outputs |
|---|
(sinh.f64 x) |
3 calls:
| 20.0ms | x |
| 13.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 13.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 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 #s(literal 7/6 binary64)) |
(*.f64 x x) |
(fma.f64 x x x) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 x (*.f64 x x) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) |
(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 x) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 x (*.f64 x x)) x x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) 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 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x 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 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 7/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) x x) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) x x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) 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 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x #s(literal 1/5040 binary64)) x) (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
3 calls:
| 16.0ms | x |
| 13.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 12.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 1 | x |
| 94.2% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 94.2% | 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 #s(literal 7/6 binary64)) |
(*.f64 x x) |
(fma.f64 x x x) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 x (*.f64 x x) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) |
(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 x) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 x (*.f64 x x)) x x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) 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 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x 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 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 7/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) x x) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) x x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) 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 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x)))) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
3 calls:
| 14.0ms | x |
| 12.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 10.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 1 | x |
| 92.9% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 92.9% | 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 #s(literal 7/6 binary64)) |
(*.f64 x x) |
(fma.f64 x x x) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 x (*.f64 x x) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) |
(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 x) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 x (*.f64 x x)) x x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) 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 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x 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 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 7/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) x x) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) x x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) 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 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
3 calls:
| 15.0ms | x |
| 11.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 11.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 1 | x |
| 92.8% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 92.8% | 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 #s(literal 7/6 binary64)) |
(*.f64 x x) |
(fma.f64 x x x) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 x (*.f64 x x) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) |
(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 x) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 x (*.f64 x x)) x x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) 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 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x 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 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 7/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) x x) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) x x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) 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 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
| 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:
| 14.0ms | x |
| 11.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 10.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 1 | x |
| 92.6% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 92.6% | 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 #s(literal 7/6 binary64)) |
(*.f64 x x) |
(fma.f64 x x x) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 x (*.f64 x x) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) |
(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 x) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 x (*.f64 x x)) x x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) 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 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x 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 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 7/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) x x) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) x x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x x) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))) x) |
3 calls:
| 14.0ms | 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 |
|---|---|---|
| 92.4% | 1 | x |
| 92.4% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 92.4% | 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 #s(literal 7/6 binary64)) |
(*.f64 x x) |
(fma.f64 x x x) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 x (*.f64 x x) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) |
(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 x) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 x (*.f64 x x)) x x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) 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 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x 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 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 7/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64)) x) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) x x) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))) x x) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x) |
3 calls:
| 61.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 12.0ms | x |
| 9.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 92.0% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 92.0% | 1 | x |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal 7/6 binary64)) |
(*.f64 x x) |
(fma.f64 x x x) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 x (*.f64 x x) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) |
(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 x) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 x (*.f64 x x)) x x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) 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 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x 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 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 7/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
3 calls:
| 31.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 9.0ms | x |
| 7.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 1 | x |
| 91.6% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 91.6% | 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 #s(literal 7/6 binary64)) |
(*.f64 x x) |
(fma.f64 x x x) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 x (*.f64 x x) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) |
(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 x) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 x (*.f64 x x)) x x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) x) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) x) |
3 calls:
| 7.0ms | x |
| 5.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 1 | x |
| 91.3% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 91.3% | 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 #s(literal 7/6 binary64)) |
(*.f64 x x) |
(fma.f64 x x x) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 x (*.f64 x x) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) |
(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 x) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 x (*.f64 x x)) x x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) x) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) x) |
3 calls:
| 8.0ms | x |
| 6.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 5.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 89.1% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 89.1% | 1 | x |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal 7/6 binary64)) |
(*.f64 x x) |
(fma.f64 x x x) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 x (*.f64 x x) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) |
(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 x) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 x (*.f64 x x)) x x) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) x) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 x x) x) |
3 calls:
| 7.0ms | x |
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 5.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 1 | x |
| 87.6% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 87.6% | 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 #s(literal 7/6 binary64)) |
(*.f64 x x) |
(fma.f64 x x x) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 x (*.f64 x x) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) |
(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) |
| Outputs |
|---|
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
3 calls:
| 6.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 5.0ms | x |
| 4.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 85.0% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 85.0% | 1 | x |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal 7/6 binary64)) |
(*.f64 x x) |
(fma.f64 x x x) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 x (*.f64 x x) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x x) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) x) |
| Outputs |
|---|
(fma.f64 x (*.f64 x x) x) |
3 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 3.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 84.9% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 84.9% | 1 | x |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal 7/6 binary64)) |
(*.f64 x x) |
(fma.f64 x x x) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) x) |
| Outputs |
|---|
x |
(*.f64 x (*.f64 x x)) |
3 calls:
| 5.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 3.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 2 | x |
| 84.9% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 84.9% | 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 #s(literal 7/6 binary64)) |
(*.f64 x x) |
(fma.f64 x x x) |
| Outputs |
|---|
(fma.f64 x x x) |
3 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 1 | x |
| 77.9% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 77.9% | 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 #s(literal 7/6 binary64)) |
(*.f64 x x) |
| Outputs |
|---|
x |
(*.f64 x x) |
3 calls:
| 18.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 2.0ms | x |
| 2.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 2 | x |
| 78.7% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 78.7% | 2 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
Total -24.9b remaining (-83%)
Threshold costs -24.9b (-83%)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal 7/6 binary64)) |
| Outputs |
|---|
x |
3 calls:
| 2.0ms | 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 |
|---|---|---|
| 53.0% | 1 | x |
| 53.0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 53.0% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.06921539760667994 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.06921539760667994 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 40× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 203 |
| 1 | 81 | 203 |
| 2 | 86 | 203 |
| 3 | 89 | 203 |
| 4 | 90 | 203 |
| 1× | saturated |
| Inputs |
|---|
(sinh.f64 x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)) #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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 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) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(fma.f64 x (*.f64 x x) x) |
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/36028797018963968 binary64)) x (*.f64 x (*.f64 x x))) |
(fma.f64 x x x) |
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/36028797018963968 binary64)) x (*.f64 x x)) |
x |
| Outputs |
|---|
(sinh.f64 x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)) #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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 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) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64)))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 x (*.f64 x x) x) |
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/36028797018963968 binary64)) x (*.f64 x (*.f64 x x))) |
(fma.f64 x x x) |
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/36028797018963968 binary64)) x (*.f64 x x)) |
x |
| 18 510× | lower-fma.f64 |
| 18 510× | lower-fma.f32 |
| 10 200× | lower-fma.f64 |
| 10 200× | lower-fma.f32 |
| 9 688× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1319 |
| 1 | 379 | 1305 |
| 2 | 916 | 1200 |
| 3 | 2149 | 1182 |
| 4 | 4420 | 1158 |
| 5 | 7738 | 1158 |
| 0 | 8039 | 1079 |
| 0 | 7 | 21 |
| 0 | 12 | 17 |
| 1 | 47 | 13 |
| 2 | 294 | 13 |
| 0 | 3072 | 13 |
| 0 | 123 | 1279 |
| 1 | 348 | 1273 |
| 2 | 758 | 1204 |
| 3 | 1594 | 1198 |
| 4 | 3253 | 1144 |
| 5 | 6414 | 1144 |
| 0 | 8604 | 1082 |
| 0 | 24 | 167 |
| 0 | 49 | 144 |
| 1 | 183 | 128 |
| 2 | 1296 | 117 |
| 0 | 8332 | 115 |
| 0 | 252 | 1671 |
| 1 | 775 | 1646 |
| 2 | 1776 | 1613 |
| 3 | 3767 | 1612 |
| 4 | 6961 | 1566 |
| 0 | 8101 | 1485 |
| 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× | fuel |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 881 to 416 computations (52.8% saved)
(negabs x)
Compiled 462 to 146 computations (68.4% saved)
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