
Time bar (total: 13.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 5 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 6 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 7 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 8 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 9 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 10 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 11 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 12 to 10 computations (16.7% saved)
| 1.3s | 1 545× | 5 | exit |
| 1.1s | 2 574× | 2 | valid |
| 735.0ms | 3 601× | 1 | valid |
| 398.0ms | 3 333× | 0 | invalid |
| 247.0ms | 2 081× | 0 | valid |
ival-cos: 1.2s (35.7% of total)ival-fmod: 740.0ms (22.1% of total)ival-exp: 666.0ms (19.9% of total)adjust: 261.0ms (7.8% of total)ival-sqrt: 225.0ms (6.7% of total)ival-mult: 155.0ms (4.6% of total)ival-neg: 92.0ms (2.7% of total)ival-true: 11.0ms (0.3% of total)ival-assert: 6.0ms (0.2% of total)| 1× | egg-herbie |
| 32× | sub-neg |
| 28× | div-sub |
| 24× | lower-*.f32 |
| 22× | lower-*.f64 |
| 22× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 29 | 21 |
| 2 | 68 | 21 |
| 3 | 122 | 21 |
| 4 | 168 | 21 |
| 5 | 188 | 21 |
| 6 | 205 | 21 |
| 7 | 224 | 21 |
| 8 | 231 | 21 |
| 0 | 8 | 10 |
| 0 | 15 | 10 |
| 1 | 22 | 10 |
| 2 | 32 | 9 |
| 3 | 38 | 9 |
| 4 | 43 | 9 |
| 5 | 49 | 9 |
| 6 | 56 | 9 |
| 7 | 62 | 9 |
| 8 | 63 | 9 |
| 0 | 63 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 199 | 0 | - | 199 | (5.921521287380113e-304) | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 3 | 0 | - | 0 | - | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (cos.f64 x)) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) | u*o | 3 | 0 |
| ↳ | (exp.f64 x) | underflow | 3 | |
| ↳ | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | underflow | 3 | |
| ↳ | (exp.f64 (neg.f64 x)) | overflow | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3 | 244 |
| - | 0 | 9 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3 | 0 | 244 |
| - | 0 | 0 | 9 |
| number | freq |
|---|---|
| 0 | 253 |
| 1 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 74.0ms | 156× | 2 | valid |
| 52.0ms | 228× | 1 | valid |
| 12.0ms | 90× | 1 | exit |
| 7.0ms | 38× | 0 | valid |
Compiled 84 to 36 computations (57.1% saved)
ival-fmod: 37.0ms (30.2% of total)ival-exp: 34.0ms (27.8% of total)ival-cos: 24.0ms (19.6% of total)adjust: 10.0ms (8.2% of total)ival-sqrt: 8.0ms (6.5% of total)ival-mult: 7.0ms (5.7% of total)ival-neg: 2.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.9% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (cos.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 24× | lower-*.f32 |
| 22× | lower-*.f64 |
| 12× | lower-/.f32 |
| 12× | lower-/.f64 |
| 8× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 0 | 15 | 29 |
| 1 | 22 | 29 |
| 2 | 32 | 28 |
| 3 | 38 | 28 |
| 4 | 43 | 28 |
| 5 | 49 | 28 |
| 6 | 56 | 28 |
| 7 | 62 | 28 |
| 8 | 63 | 28 |
| 0 | 63 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (cos.f64 x)) |
| ✓ | accuracy | 98.8% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 26.7% | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 37.0ms | 114× | 1 | valid |
| 34.0ms | 78× | 2 | valid |
| 6.0ms | 45× | 1 | exit |
| 2.0ms | 19× | 0 | valid |
Compiled 31 to 10 computations (67.7% saved)
ival-fmod: 17.0ms (29.4% of total)ival-exp: 16.0ms (27.7% of total)ival-cos: 11.0ms (19% of total)adjust: 5.0ms (8.7% of total)ival-sqrt: 4.0ms (6.9% of total)ival-mult: 3.0ms (5.2% of total)ival-neg: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))> |
#<alt (exp.f64 x)> |
#<alt (sqrt.f64 (cos.f64 x))> |
#<alt (cos.f64 x)> |
| Outputs |
|---|
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos 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 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
| 0.0ms | x | @ | 0 | (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
| 0.0ms | x | @ | inf | (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
| 0.0ms | x | @ | 0 | (sqrt (cos x)) |
| 0.0ms | x | @ | inf | (sqrt (cos x)) |
| 1× | batch-egg-rewrite |
| 612× | lower-*.f32 |
| 610× | lower-*.f64 |
| 600× | lower-/.f64 |
| 600× | lower-/.f32 |
| 252× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 0 | 15 | 23 |
| 1 | 24 | 22 |
| 2 | 63 | 22 |
| 3 | 257 | 22 |
| 0 | 1992 | 22 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
(neg.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))) |
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) |
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x)) |
(/.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)) (exp.f64 x)) |
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (exp.f64 (neg.f64 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))) |
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(exp.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) |
(neg.f64 (neg.f64 (exp.f64 x))) |
(/.f64 (exp.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 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64) (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)))) |
(sqrt.f64 (cos.f64 x)) |
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 x))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(cos.f64 x) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64))) (*.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64)))) |
(-.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x))) |
| 1× | egg-herbie |
| 13 324× | lower-fma.f64 |
| 13 324× | lower-fma.f32 |
| 3 658× | lower-*.f64 |
| 3 658× | lower-*.f32 |
| 2 382× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 401 |
| 1 | 181 | 380 |
| 2 | 412 | 368 |
| 3 | 1045 | 358 |
| 4 | 1890 | 358 |
| 5 | 3512 | 358 |
| 6 | 4863 | 358 |
| 7 | 6196 | 358 |
| 8 | 7695 | 358 |
| 0 | 8062 | 336 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos 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 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
| Outputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 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 (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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 (* -1/4 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
Compiled 1 539 to 260 computations (83.1% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 115 | 9 | 124 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 116 | 9 | 125 |
| Status | Accuracy | Program |
|---|---|---|
| 6.4% | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| ▶ | 8.0% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| 7.9% | (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| 7.9% | (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| 8.0% | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) | |
| ▶ | 7.5% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
| ▶ | 7.2% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) |
| ▶ | 7.7% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| ▶ | 21.2% | (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 234 to 160 computations (31.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (cos.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| ✓ | cost-diff | 256 | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (cos.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (cos.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (exp.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (cos.f64 x)) |
| ✓ | cost-diff | 0 | (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 1 784× | lower-fma.f32 |
| 1 780× | lower-fma.f64 |
| 856× | lower-*.f32 |
| 848× | lower-*.f64 |
| 392× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 140 |
| 0 | 38 | 140 |
| 1 | 63 | 140 |
| 2 | 123 | 138 |
| 3 | 256 | 138 |
| 4 | 427 | 138 |
| 5 | 557 | 138 |
| 6 | 968 | 138 |
| 7 | 1445 | 138 |
| 8 | 1713 | 138 |
| 9 | 1829 | 138 |
| 10 | 1973 | 138 |
| 11 | 2170 | 138 |
| 12 | 2359 | 138 |
| 13 | 2409 | 138 |
| 14 | 2600 | 138 |
| 15 | 2819 | 138 |
| 16 | 2825 | 138 |
| 17 | 2829 | 138 |
| 18 | 2835 | 138 |
| 19 | 2837 | 138 |
| 0 | 2837 | 138 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
#s(literal 1 binary64) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
x |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
#s(literal 1 binary64) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
x |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (cos.f64 x)) |
| ✓ | accuracy | 98.8% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| ✓ | accuracy | 26.7% | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (cos.f64 x)) |
| ✓ | accuracy | 99.9% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 26.7% | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (cos.f64 x)) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 26.7% | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 98.8% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 26.7% | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (cos.f64 x)) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 60.0% | (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
| 146.0ms | 133× | 2 | valid |
| 33.0ms | 71× | 1 | valid |
| 20.0ms | 45× | 1 | exit |
| 2.0ms | 7× | 0 | valid |
Compiled 147 to 24 computations (83.7% saved)
ival-fmod: 59.0ms (40.8% of total)ival-cos: 24.0ms (16.6% of total)ival-exp: 18.0ms (12.5% of total)adjust: 16.0ms (11.1% of total)ival-mult: 13.0ms (9% of total)ival-sqrt: 5.0ms (3.5% of total)ival-div: 3.0ms (2.1% of total)ival-add: 2.0ms (1.4% of total)ival-sub: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))> |
#<alt (sqrt.f64 (cos.f64 x))> |
#<alt (cos.f64 x)> |
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 (exp.f64 x) #s(literal 1 binary64))> |
#<alt (exp.f64 x)> |
#<alt (exp.f64 (neg.f64 x))> |
#<alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))> |
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))> |
#<alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))> |
#<alt (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))> |
| Outputs |
|---|
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (* x (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod 1 (sqrt (cos x))))) (* 1/2 (fmod 1 (sqrt (cos x)))))))) (fmod 1 (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod 1 (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod 1 (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod 1 (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod 1 (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (fmod (exp x) 1)> |
#<alt (+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) 1)) (* x (+ (* -1/6 (* x (fmod (exp x) 1))) (* 1/2 (fmod (exp x) 1)))))) (fmod (exp x) 1))> |
#<alt (* (exp (neg x)) (fmod (exp x) 1))> |
#<alt (* (exp (neg x)) (fmod (exp x) 1))> |
#<alt (* (exp (neg x)) (fmod (exp x) 1))> |
#<alt (* (exp (neg x)) (fmod (exp x) 1))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) 1))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) 1))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) 1))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) 1))> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 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 (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* -1 (* x (fmod (exp x) (sqrt (cos x)))))> |
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))> |
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))> |
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))> |
#<alt (* -1 (* x (fmod (exp x) (sqrt (cos x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))> |
#<alt (* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | 0 | (/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
| 1.0ms | x | @ | inf | (* (fmod (exp x) 1) (exp (neg x))) |
| 0.0ms | x | @ | inf | (/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
| 0.0ms | x | @ | -inf | (/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
| 0.0ms | x | @ | inf | (* (fmod (exp x) (sqrt (cos x))) (+ (* x (+ (* x 1/2) -1)) 1)) |
| 1× | batch-egg-rewrite |
| 5 002× | lower-fma.f32 |
| 4 998× | lower-fma.f64 |
| 3 432× | lower-*.f32 |
| 3 424× | lower-*.f64 |
| 2 178× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 75 |
| 0 | 38 | 74 |
| 1 | 105 | 72 |
| 2 | 635 | 72 |
| 3 | 6067 | 72 |
| 0 | 9082 | 72 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
(exp.f64 (neg.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/.f64 (neg.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x))) |
(/.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x))) |
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(*.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (cos.f64 x)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 (cos.f64 x)) |
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) |
(cos.f64 x) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64))) (*.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64)))) |
(-.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (exp.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (exp.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (exp.f64 x))) |
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp.f64 x) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) |
(neg.f64 (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) x) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(*.f64 (exp.f64 (*.f64 x #s(literal 1/2 binary64))) (exp.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))) |
(exp.f64 x) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) |
(neg.f64 (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) x) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(*.f64 (exp.f64 (*.f64 x #s(literal 1/2 binary64))) (exp.f64 (*.f64 x #s(literal 1/2 binary64)))) |
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(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)))))))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))) (+.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))) |
(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x))) |
(/.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)) (exp.f64 x)) |
(pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (exp.f64 x) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))) |
(*.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x))) |
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1/2 binary64))) |
| 1× | egg-herbie |
| 27 714× | lower-fma.f64 |
| 27 714× | lower-fma.f32 |
| 3 310× | lower--.f64 |
| 3 310× | lower--.f32 |
| 3 206× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 1262 |
| 1 | 431 | 1116 |
| 2 | 1139 | 1035 |
| 3 | 3566 | 1020 |
| 0 | 8192 | 989 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod 1 (sqrt (cos x))) |
(+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (* x (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod 1 (sqrt (cos x))))) (* 1/2 (fmod 1 (sqrt (cos x)))))))) (fmod 1 (sqrt (cos x)))) |
(* (exp (neg x)) (fmod 1 (sqrt (cos x)))) |
(* (exp (neg x)) (fmod 1 (sqrt (cos x)))) |
(* (exp (neg x)) (fmod 1 (sqrt (cos x)))) |
(* (exp (neg x)) (fmod 1 (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x)))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(fmod (exp x) 1) |
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1)) |
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1)) |
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* x (+ (* -1/6 (* x (fmod (exp x) 1))) (* 1/2 (fmod (exp x) 1)))))) (fmod (exp x) 1)) |
(* (exp (neg x)) (fmod (exp x) 1)) |
(* (exp (neg x)) (fmod (exp x) 1)) |
(* (exp (neg x)) (fmod (exp x) 1)) |
(* (exp (neg x)) (fmod (exp x) 1)) |
(* (exp (* -1 x)) (fmod (exp x) 1)) |
(* (exp (* -1 x)) (fmod (exp x) 1)) |
(* (exp (* -1 x)) (fmod (exp x) 1)) |
(* (exp (* -1 x)) (fmod (exp x) 1)) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
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)) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(* -1 (* x (fmod (exp x) (sqrt (cos x))))) |
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x))) |
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x))) |
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x))) |
(* -1 (* x (fmod (exp x) (sqrt (cos x))))) |
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))))) |
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))))) |
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))) |
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
| Outputs |
|---|
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x)))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) |
(+ (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (* x (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x)))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(+ (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod 1 (sqrt (cos x))))) (* 1/2 (fmod 1 (sqrt (cos x)))))))) (fmod 1 (sqrt (cos x)))) |
(fma.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) |
(* (exp (neg x)) (fmod 1 (sqrt (cos x)))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod 1 (sqrt (cos x)))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod 1 (sqrt (cos x)))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod 1 (sqrt (cos x)))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x)))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x)))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x)))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x)))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* x (+ (* -1/6 (* x (fmod (exp x) 1))) (* 1/2 (fmod (exp x) 1)))))) (fmod (exp x) 1)) |
(fma.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(* (exp (neg x)) (fmod (exp x) 1)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(* (exp (neg x)) (fmod (exp x) 1)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(* (exp (neg x)) (fmod (exp x) 1)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(* (exp (neg x)) (fmod (exp x) 1)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(* (exp (* -1 x)) (fmod (exp x) 1)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(* (exp (* -1 x)) (fmod (exp x) 1)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(* (exp (* -1 x)) (fmod (exp x) 1)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(* (exp (* -1 x)) (fmod (exp x) 1)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 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)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* -1 (* x (fmod (exp x) (sqrt (cos x))))) |
(*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* -1 (* x (fmod (exp x) (sqrt (cos x))))) |
(*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 x (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 10 762 to 888 computations (91.7% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 711 | 19 | 730 |
| Fresh | 1 | 3 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 716 | 23 | 739 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.4% | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 4.3% | (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) | |
| 7.9% | (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 x)) | |
| 7.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) x)) | |
| 7.7% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) | |
| 7.2% | (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) | |
| 6.3% | (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))) | |
| ▶ | 7.6% | (*.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
| ▶ | 17.9% | (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| ▶ | 7.9% | (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| 7.9% | (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| 7.5% | (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 7.2% | (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) | |
| 8.0% | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) | |
| 7.4% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 7.2% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) | |
| 7.4% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) | |
| 7.3% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 7.1% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) | |
| ✓ | 7.7% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| 6.3% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) | |
| ▶ | 20.9% | (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| 6.3% | (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) #s(literal -1 binary64))) |
Compiled 625 to 415 computations (33.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (exp.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| 4 976× | lower-fma.f32 |
| 4 958× | lower-fma.f64 |
| 1 740× | lower-*.f32 |
| 1 730× | lower-*.f64 |
| 1 010× | unsub-neg |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 207 |
| 0 | 63 | 207 |
| 1 | 123 | 207 |
| 2 | 262 | 204 |
| 3 | 549 | 204 |
| 4 | 805 | 204 |
| 5 | 996 | 204 |
| 6 | 1463 | 204 |
| 7 | 2127 | 204 |
| 8 | 2754 | 204 |
| 9 | 3647 | 204 |
| 10 | 4021 | 204 |
| 11 | 4123 | 204 |
| 12 | 4169 | 204 |
| 13 | 4457 | 204 |
| 14 | 4577 | 204 |
| 15 | 4577 | 204 |
| 16 | 4577 | 204 |
| 17 | 4589 | 204 |
| 0 | 4589 | 204 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
x |
#s(literal 1 binary64) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fmod.f64 (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)) (sqrt.f64 (cos.f64 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)) |
x |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) |
#s(literal -1/96 binary64) |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
x |
#s(literal 1 binary64) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fmod.f64 (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)) (sqrt.f64 (cos.f64 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)) |
x |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) |
#s(literal -1/96 binary64) |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 98.3% | (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (cos.f64 x)) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 98.3% | (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 98.4% | (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 98.3% | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 x)) |
| 136.0ms | 240× | 1 | exit |
| 6.0ms | 16× | 0 | valid |
Compiled 240 to 41 computations (82.9% saved)
ival-mult: 42.0ms (35.2% of total)ival-fmod: 30.0ms (25.2% of total)adjust: 20.0ms (16.8% of total)ival-add: 10.0ms (8.4% of total)const: 7.0ms (5.9% of total)ival-exp: 4.0ms (3.4% of total)ival-cos: 3.0ms (2.5% of total)ival-sqrt: 2.0ms (1.7% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))> |
#<alt (exp.f64 (neg.f64 x))> |
#<alt (neg.f64 x)> |
#<alt (fmod.f64 (exp.f64 x) #s(literal 1 binary64))> |
#<alt (exp.f64 x)> |
#<alt (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))> |
#<alt (*.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))> |
#<alt (fmod.f64 (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)) (sqrt.f64 (cos.f64 x)))> |
#<alt (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))> |
#<alt (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))> |
#<alt (sqrt.f64 (cos.f64 x))> |
#<alt (cos.f64 x)> |
| Outputs |
|---|
#<alt (fmod 1 1)> |
#<alt (+ (* -1 (* x (fmod 1 1))) (fmod 1 1))> |
#<alt (+ (* x (+ (* -1 (fmod 1 1)) (* 1/2 (* x (fmod 1 1))))) (fmod 1 1))> |
#<alt (+ (* x (+ (* -1 (fmod 1 1)) (* x (+ (* -1/6 (* x (fmod 1 1))) (* 1/2 (fmod 1 1)))))) (fmod 1 1))> |
#<alt (* (exp (neg x)) (fmod 1 1))> |
#<alt (* (exp (neg x)) (fmod 1 1))> |
#<alt (* (exp (neg x)) (fmod 1 1))> |
#<alt (* (exp (neg x)) (fmod 1 1))> |
#<alt (* (exp (* -1 x)) (fmod 1 1))> |
#<alt (* (exp (* -1 x)) (fmod 1 1))> |
#<alt (* (exp (* -1 x)) (fmod 1 1))> |
#<alt (* (exp (* -1 x)) (fmod 1 1))> |
#<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)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)> |
#<alt (+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))> |
#<alt (+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))> |
#<alt (+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) (* x (+ (* -1/6 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))> |
#<alt (* (exp (neg x)) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1))> |
#<alt (* (exp (neg x)) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1))> |
#<alt (* (exp (neg x)) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1))> |
#<alt (* (exp (neg x)) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1))> |
#<alt (* (exp (* -1 x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))> |
#<alt (* (exp (* -1 x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))> |
#<alt (* (exp (* -1 x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))> |
#<alt (* (exp (* -1 x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))> |
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)> |
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)> |
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)> |
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)> |
#<alt (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)> |
#<alt (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)> |
#<alt (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)> |
#<alt (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)> |
#<alt (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)> |
#<alt (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)> |
#<alt (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)> |
#<alt (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))> |
#<alt (* 1/2 (* (pow x 2) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))) x)) (* 1/2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))) (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))) (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))) (pow x 2)))))> |
#<alt (* 1/2 (* (pow x 2) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))) x)) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))) x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))) x)) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))) x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))) x)) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))))))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))> |
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))> |
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))> |
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))> |
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))> |
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* x (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))> |
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))> |
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))> |
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))> |
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))> |
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))> |
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))> |
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))> |
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))> |
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))> |
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))> |
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))> |
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (* -1/96 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* -1/96 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* (fmod 1 1) (exp (neg x))) |
| 1.0ms | x | @ | -inf | (* (fmod (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (sqrt (cos x))) (+ (* x (+ (* x 1/2) -1)) 1)) |
| 1.0ms | x | @ | inf | (* (fmod (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (sqrt (cos x))) (+ (* x (+ (* x 1/2) -1)) 1)) |
| 1.0ms | x | @ | inf | (* (fmod (exp x) (+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1)) (exp (neg x))) |
| 0.0ms | x | @ | inf | (+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1) |
| 1× | batch-egg-rewrite |
| 7 614× | lower-fma.f32 |
| 7 596× | lower-fma.f64 |
| 3 906× | lower-/.f64 |
| 3 906× | lower-/.f32 |
| 3 610× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 155 |
| 0 | 63 | 155 |
| 1 | 226 | 152 |
| 2 | 1700 | 152 |
| 0 | 8377 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fmod.f64 (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)) (sqrt.f64 (cos.f64 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)) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (neg.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (neg.f64 (exp.f64 x))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) 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 (neg.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.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)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (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))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (*.f64 x x)) x) |
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) x) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (neg.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (exp.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) |
(+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/884736 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/9216 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/96 binary64))))) #s(literal 3 binary64)) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/96 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/96 binary64))))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/96 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/9216 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/96 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/96 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64))) |
(sqrt.f64 (cos.f64 x)) |
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) |
(cos.f64 x) |
| 1× | egg-herbie |
| 15 628× | lower-fma.f64 |
| 15 628× | lower-fma.f32 |
| 4 400× | lower-+.f64 |
| 4 400× | lower-+.f32 |
| 4 026× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 225 | 2627 |
| 1 | 651 | 2400 |
| 2 | 1731 | 2185 |
| 3 | 4563 | 2177 |
| 0 | 8262 | 1883 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod 1 1) |
(+ (* -1 (* x (fmod 1 1))) (fmod 1 1)) |
(+ (* x (+ (* -1 (fmod 1 1)) (* 1/2 (* x (fmod 1 1))))) (fmod 1 1)) |
(+ (* x (+ (* -1 (fmod 1 1)) (* x (+ (* -1/6 (* x (fmod 1 1))) (* 1/2 (fmod 1 1)))))) (fmod 1 1)) |
(* (exp (neg x)) (fmod 1 1)) |
(* (exp (neg x)) (fmod 1 1)) |
(* (exp (neg x)) (fmod 1 1)) |
(* (exp (neg x)) (fmod 1 1)) |
(* (exp (* -1 x)) (fmod 1 1)) |
(* (exp (* -1 x)) (fmod 1 1)) |
(* (exp (* -1 x)) (fmod 1 1)) |
(* (exp (* -1 x)) (fmod 1 1)) |
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) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) |
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) |
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) (* x (+ (* -1/6 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) |
(* (exp (neg x)) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) |
(* (exp (neg x)) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) |
(* (exp (neg x)) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) |
(* (exp (neg x)) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) |
(* (exp (* -1 x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)) |
(* (exp (* -1 x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)) |
(* (exp (* -1 x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)) |
(* (exp (* -1 x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)) |
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) |
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) |
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) |
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) |
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) |
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) |
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) |
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))) |
(* 1/2 (* (pow x 2) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))))) |
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))) x)) (* 1/2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))))) |
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))) (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))) (pow x 2))))) |
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))) (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))) (pow x 2))))) |
(* 1/2 (* (pow x 2) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))))) |
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))) x)) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))) x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))) x)) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))) x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))) x)) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))))) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))) |
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))) |
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))) |
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))) |
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))) |
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))) |
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))) |
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))) |
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))) |
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) |
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) |
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* x (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) |
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) |
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) |
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) |
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) |
(* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) |
(* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) |
(* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) |
(* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))) |
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) |
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) |
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) |
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) |
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) |
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) |
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) |
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(* -1/96 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2)))))) |
(* -1/96 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2)))))) |
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2)))))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
| Outputs |
|---|
(fmod 1 1) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(+ (* -1 (* x (fmod 1 1))) (fmod 1 1)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+ (* x (+ (* -1 (fmod 1 1)) (* 1/2 (* x (fmod 1 1))))) (fmod 1 1)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod 1 1)) (* x (+ (* -1/6 (* x (fmod 1 1))) (* 1/2 (fmod 1 1)))))) (fmod 1 1)) |
(fma.f64 x (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) |
(* (exp (neg x)) (fmod 1 1)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod 1 1)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod 1 1)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod 1 1)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod 1 1)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod 1 1)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod 1 1)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod 1 1)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.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) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 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) |
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) (* x (+ (* -1/6 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) |
(fma.f64 x (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (exp (neg x)) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (exp (neg x)) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (exp (neg x)) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (exp (neg x)) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (exp (* -1 x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (exp (* -1 x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (exp (* -1 x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (exp (* -1 x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
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(fma.f64 x (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))) |
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))) |
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))) |
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))) |
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) |
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) |
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) |
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) |
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) |
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) |
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) |
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) |
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(* -1/96 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/96 binary64)))) |
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(* -1/96 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/96 binary64)))) |
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
Compiled 20 749 to 1 966 computations (90.5% saved)
23 alts after pruning (21 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 729 | 16 | 745 |
| Fresh | 12 | 5 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 745 | 23 | 768 |
| Status | Accuracy | Program |
|---|---|---|
| 16.7% | (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| 22.8% | (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) | |
| ▶ | 21.0% | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 7.6% | (/.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) | |
| 17.9% | (/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x)) | |
| 7.9% | (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 x)) | |
| 7.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) x)) | |
| ▶ | 7.7% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| 7.2% | (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) | |
| 7.6% | (*.f64 (fmod.f64 (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)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 7.4% | (*.f64 (fmod.f64 (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)) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 13.9% | (*.f64 (fmod.f64 (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)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| ▶ | 13.7% | (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (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))) |
| 17.6% | (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 17.4% | (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) | |
| ▶ | 51.8% | (*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| 22.0% | (*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 15.2% | (*.f64 (fmod.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) | |
| 7.6% | (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (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))) | |
| ✓ | 7.9% | (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| 8.0% | (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) | |
| ▶ | 7.4% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
| ✓ | 7.7% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 852 to 475 computations (44.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 256 | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (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))) |
| ✓ | cost-diff | 0 | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
| ✓ | cost-diff | 0 | (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| 13 194× | lower-fma.f32 |
| 13 182× | lower-fma.f64 |
| 3 380× | lower-*.f32 |
| 3 372× | lower-*.f64 |
| 1 550× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 169 |
| 0 | 46 | 169 |
| 1 | 95 | 169 |
| 2 | 198 | 168 |
| 3 | 580 | 168 |
| 4 | 1514 | 168 |
| 5 | 2206 | 168 |
| 6 | 3404 | 168 |
| 7 | 4602 | 168 |
| 8 | 5804 | 168 |
| 9 | 6570 | 168 |
| 10 | 6997 | 168 |
| 11 | 7404 | 168 |
| 12 | 7842 | 168 |
| 0 | 8108 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
x |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (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))) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(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)) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal -1 binary64) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
x |
#s(literal 1 binary64) |
(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)) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
x |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (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))) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(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)) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal -1 binary64) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
(*.f64 (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)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
x |
#s(literal 1 binary64) |
(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)) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
x |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 99.6% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| ✓ | accuracy | 98.0% | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
| ✓ | accuracy | 98.0% | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (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))) |
| ✓ | accuracy | 97.8% | (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 99.9% | (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
| 87.0ms | 239× | 1 | exit |
| 5.0ms | 17× | 0 | valid |
Compiled 199 to 30 computations (84.9% saved)
ival-fmod: 26.0ms (34.9% of total)adjust: 15.0ms (20.1% of total)ival-mult: 13.0ms (17.4% of total)ival-add: 9.0ms (12.1% of total)ival-exp: 4.0ms (5.4% of total)const: 4.0ms (5.4% of total)ival-div: 2.0ms (2.7% of total)ival-neg: 1.0ms (1.3% 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 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))> |
#<alt (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)> |
#<alt (*.f64 x #s(literal 1/2 binary64))> |
#<alt (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))> |
#<alt (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (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)))> |
#<alt (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))> |
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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)))> |
#<alt (fmod.f64 (exp.f64 x) #s(literal 1 binary64))> |
#<alt (exp.f64 x)> |
#<alt (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))> |
#<alt (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))> |
#<alt (exp.f64 (neg.f64 x))> |
#<alt (neg.f64 x)> |
#<alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))> |
| Outputs |
|---|
#<alt (fmod (+ x (* 1/2 (pow x 2))) 1)> |
#<alt (+ (* -1 (* x (fmod (+ x (* 1/2 (pow x 2))) 1))) (fmod (+ x (* 1/2 (pow x 2))) 1))> |
#<alt (+ (* x (+ (* -1 (fmod (+ x (* 1/2 (pow x 2))) 1)) (* 1/2 (* x (fmod (+ x (* 1/2 (pow x 2))) 1))))) (fmod (+ x (* 1/2 (pow x 2))) 1))> |
#<alt (+ (* x (+ (* -1 (fmod (+ x (* 1/2 (pow x 2))) 1)) (* x (+ (* -1/6 (* x (fmod (+ x (* 1/2 (pow x 2))) 1))) (* 1/2 (fmod (+ x (* 1/2 (pow x 2))) 1)))))) (fmod (+ x (* 1/2 (pow x 2))) 1))> |
#<alt (* (exp (neg x)) (fmod (+ x (* 1/2 (pow x 2))) 1))> |
#<alt (* (exp (neg x)) (fmod (+ x (* 1/2 (pow x 2))) 1))> |
#<alt (* (exp (neg x)) (fmod (+ x (* 1/2 (pow x 2))) 1))> |
#<alt (* (exp (neg x)) (fmod (+ x (* 1/2 (pow x 2))) 1))> |
#<alt (* (exp (* -1 x)) (fmod (- (* 1/2 (pow x 2)) (* -1 x)) 1))> |
#<alt (* (exp (* -1 x)) (fmod (- (* 1/2 (pow x 2)) (* -1 x)) 1))> |
#<alt (* (exp (* -1 x)) (fmod (- (* 1/2 (pow x 2)) (* -1 x)) 1))> |
#<alt (* (exp (* -1 x)) (fmod (- (* 1/2 (pow x 2)) (* -1 x)) 1))> |
#<alt (fmod (+ x (* 1/2 (pow x 2))) 1)> |
#<alt (fmod (+ x (* 1/2 (pow x 2))) 1)> |
#<alt (fmod (+ x (* 1/2 (pow x 2))) 1)> |
#<alt (fmod (+ x (* 1/2 (pow x 2))) 1)> |
#<alt (fmod (+ x (* 1/2 (pow x 2))) 1)> |
#<alt (fmod (+ x (* 1/2 (pow x 2))) 1)> |
#<alt (fmod (+ x (* 1/2 (pow x 2))) 1)> |
#<alt (fmod (+ x (* 1/2 (pow x 2))) 1)> |
#<alt (fmod (- (* 1/2 (pow x 2)) (* -1 x)) 1)> |
#<alt (fmod (- (* 1/2 (pow x 2)) (* -1 x)) 1)> |
#<alt (fmod (- (* 1/2 (pow x 2)) (* -1 x)) 1)> |
#<alt (fmod (- (* 1/2 (pow x 2)) (* -1 x)) 1)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)> |
#<alt (+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))> |
#<alt (+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))> |
#<alt (+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) (* x (+ (* -1/6 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))> |
#<alt (* -1/6 (* (pow x 3) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)))> |
#<alt (* (pow x 3) (+ (* -1/6 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) (* 1/2 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x))))> |
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) (pow x 2))) (+ (* -1/6 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) (* 1/2 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)))))> |
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) (pow x 2))) (+ (* -1/6 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) (+ (* 1/2 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) (pow x 3))))))> |
#<alt (* -1/6 (* (pow x 3) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (* 1/6 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))) x)) (* 1/6 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))) x)) (* 1/6 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)))))> |
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)> |
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)> |
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)> |
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)> |
#<alt (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)> |
#<alt (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)> |
#<alt (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)> |
#<alt (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)> |
#<alt (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)> |
#<alt (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)> |
#<alt (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)> |
#<alt (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (fmod (exp x) 1)> |
#<alt (+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) 1)) (* x (+ (* -1/6 (* x (fmod (exp x) 1))) (* 1/2 (fmod (exp x) 1)))))) (fmod (exp x) 1))> |
#<alt (* -1/6 (* (pow x 3) (fmod (exp x) 1)))> |
#<alt (* (pow x 3) (+ (* -1/6 (fmod (exp x) 1)) (* 1/2 (/ (fmod (exp x) 1) x))))> |
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) 1) (pow x 2))) (+ (* -1/6 (fmod (exp x) 1)) (* 1/2 (/ (fmod (exp x) 1) x)))))> |
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) 1) (pow x 2))) (+ (* -1/6 (fmod (exp x) 1)) (+ (* 1/2 (/ (fmod (exp x) 1) x)) (/ (fmod (exp x) 1) (pow x 3))))))> |
#<alt (* -1/6 (* (pow x 3) (fmod (exp x) 1)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) 1) x)) (* 1/6 (fmod (exp x) 1)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))) x)) (* 1/6 (fmod (exp x) 1)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))) x)) (* 1/6 (fmod (exp x) 1)))))> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))> |
#<alt (fmod (exp x) 1)> |
#<alt (+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1)))) (+ (* -1/2 (fmod (exp x) 1)) (* 1/6 (fmod (exp x) 1)))))) (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))> |
#<alt (/ (fmod (exp x) 1) (exp x))> |
#<alt (/ (fmod (exp x) 1) (exp x))> |
#<alt (/ (fmod (exp x) 1) (exp x))> |
#<alt (/ (fmod (exp x) 1) (exp x))> |
#<alt (/ (fmod (exp x) 1) (exp x))> |
#<alt (/ (fmod (exp x) 1) (exp x))> |
#<alt (/ (fmod (exp x) 1) (exp x))> |
#<alt (/ (fmod (exp x) 1) (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)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/6 x))> |
#<alt (+ 1/2 (* -1/6 x))> |
#<alt (+ 1/2 (* -1/6 x))> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* -1/6 x)> |
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* (fmod (+ (* x (* x 1/2)) x) 1) (exp (neg x))) |
| 1.0ms | x | @ | -inf | (* (fmod (+ (* x (+ (* x 1/2) 1)) 1) 1) (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1)) |
| 1.0ms | x | @ | inf | (* (fmod (+ (* x (+ (* x 1/2) 1)) 1) 1) (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1)) |
| 0.0ms | x | @ | inf | (/ (fmod (exp x) 1) (exp x)) |
| 0.0ms | x | @ | -inf | (* (fmod (+ (* x (* x 1/2)) x) 1) (exp (neg x))) |
| 1× | batch-egg-rewrite |
| 5 314× | lower-fma.f32 |
| 5 302× | lower-fma.f64 |
| 4 942× | lower-*.f32 |
| 4 934× | lower-*.f64 |
| 4 490× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 119 |
| 0 | 46 | 119 |
| 1 | 171 | 118 |
| 2 | 1200 | 118 |
| 0 | 8225 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (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))) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 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)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (neg.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (neg.f64 (exp.f64 x))) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 x x)))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))) |
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(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/10077696 binary64) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/46656 binary64) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728 binary64)))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1296 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/12 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) |
| 1× | egg-herbie |
| 17 734× | lower-fma.f64 |
| 17 734× | lower-fma.f32 |
| 5 080× | lower-*.f64 |
| 5 080× | lower-*.f32 |
| 3 206× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 234 | 1909 |
| 1 | 752 | 1779 |
| 2 | 2506 | 1685 |
| 0 | 8789 | 1521 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod (+ x (* 1/2 (pow x 2))) 1) |
(+ (* -1 (* x (fmod (+ x (* 1/2 (pow x 2))) 1))) (fmod (+ x (* 1/2 (pow x 2))) 1)) |
(+ (* x (+ (* -1 (fmod (+ x (* 1/2 (pow x 2))) 1)) (* 1/2 (* x (fmod (+ x (* 1/2 (pow x 2))) 1))))) (fmod (+ x (* 1/2 (pow x 2))) 1)) |
(+ (* x (+ (* -1 (fmod (+ x (* 1/2 (pow x 2))) 1)) (* x (+ (* -1/6 (* x (fmod (+ x (* 1/2 (pow x 2))) 1))) (* 1/2 (fmod (+ x (* 1/2 (pow x 2))) 1)))))) (fmod (+ x (* 1/2 (pow x 2))) 1)) |
(* (exp (neg x)) (fmod (+ x (* 1/2 (pow x 2))) 1)) |
(* (exp (neg x)) (fmod (+ x (* 1/2 (pow x 2))) 1)) |
(* (exp (neg x)) (fmod (+ x (* 1/2 (pow x 2))) 1)) |
(* (exp (neg x)) (fmod (+ x (* 1/2 (pow x 2))) 1)) |
(* (exp (* -1 x)) (fmod (- (* 1/2 (pow x 2)) (* -1 x)) 1)) |
(* (exp (* -1 x)) (fmod (- (* 1/2 (pow x 2)) (* -1 x)) 1)) |
(* (exp (* -1 x)) (fmod (- (* 1/2 (pow x 2)) (* -1 x)) 1)) |
(* (exp (* -1 x)) (fmod (- (* 1/2 (pow x 2)) (* -1 x)) 1)) |
(fmod (+ x (* 1/2 (pow x 2))) 1) |
(fmod (+ x (* 1/2 (pow x 2))) 1) |
(fmod (+ x (* 1/2 (pow x 2))) 1) |
(fmod (+ x (* 1/2 (pow x 2))) 1) |
(fmod (+ x (* 1/2 (pow x 2))) 1) |
(fmod (+ x (* 1/2 (pow x 2))) 1) |
(fmod (+ x (* 1/2 (pow x 2))) 1) |
(fmod (+ x (* 1/2 (pow x 2))) 1) |
(fmod (- (* 1/2 (pow x 2)) (* -1 x)) 1) |
(fmod (- (* 1/2 (pow x 2)) (* -1 x)) 1) |
(fmod (- (* 1/2 (pow x 2)) (* -1 x)) 1) |
(fmod (- (* 1/2 (pow x 2)) (* -1 x)) 1) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* 1/2 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) |
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) |
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) (* x (+ (* -1/6 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) |
(* -1/6 (* (pow x 3) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1))) |
(* (pow x 3) (+ (* -1/6 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) (* 1/2 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)))) |
(* (pow x 3) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) (pow x 2))) (+ (* -1/6 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) (* 1/2 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x))))) |
(* (pow x 3) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) (pow x 2))) (+ (* -1/6 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) (+ (* 1/2 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) (pow x 3)))))) |
(* -1/6 (* (pow x 3) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (* 1/6 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))) x)) (* 1/6 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))) x)) (* 1/6 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))))) |
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) |
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) |
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) |
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) |
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) |
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) |
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) |
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(fmod (exp x) 1) |
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1)) |
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1)) |
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* x (+ (* -1/6 (* x (fmod (exp x) 1))) (* 1/2 (fmod (exp x) 1)))))) (fmod (exp x) 1)) |
(* -1/6 (* (pow x 3) (fmod (exp x) 1))) |
(* (pow x 3) (+ (* -1/6 (fmod (exp x) 1)) (* 1/2 (/ (fmod (exp x) 1) x)))) |
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) 1) (pow x 2))) (+ (* -1/6 (fmod (exp x) 1)) (* 1/2 (/ (fmod (exp x) 1) x))))) |
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) 1) (pow x 2))) (+ (* -1/6 (fmod (exp x) 1)) (+ (* 1/2 (/ (fmod (exp x) 1) x)) (/ (fmod (exp x) 1) (pow x 3)))))) |
(* -1/6 (* (pow x 3) (fmod (exp x) 1))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) 1) x)) (* 1/6 (fmod (exp x) 1))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))) x)) (* 1/6 (fmod (exp x) 1))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))) x)) (* 1/6 (fmod (exp x) 1))))) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(fmod (exp x) 1) |
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1)) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1)) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1)))) (+ (* -1/2 (fmod (exp x) 1)) (* 1/6 (fmod (exp x) 1)))))) (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1)) |
(/ (fmod (exp x) 1) (exp x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/ (fmod (exp x) 1) (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) |
1/2 |
(+ 1/2 (* -1/6 x)) |
(+ 1/2 (* -1/6 x)) |
(+ 1/2 (* -1/6 x)) |
(* -1/6 x) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(* -1/6 x) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
| Outputs |
|---|
(fmod (+ x (* 1/2 (pow x 2))) 1) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+ (* -1 (* x (fmod (+ x (* 1/2 (pow x 2))) 1))) (fmod (+ x (* 1/2 (pow x 2))) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod (+ x (* 1/2 (pow x 2))) 1)) (* 1/2 (* x (fmod (+ x (* 1/2 (pow x 2))) 1))))) (fmod (+ x (* 1/2 (pow x 2))) 1)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+ (* x (+ (* -1 (fmod (+ x (* 1/2 (pow x 2))) 1)) (* x (+ (* -1/6 (* x (fmod (+ x (* 1/2 (pow x 2))) 1))) (* 1/2 (fmod (+ x (* 1/2 (pow x 2))) 1)))))) (fmod (+ x (* 1/2 (pow x 2))) 1)) |
(fma.f64 (*.f64 x x) (*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) |
(* (exp (neg x)) (fmod (+ x (* 1/2 (pow x 2))) 1)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (+ x (* 1/2 (pow x 2))) 1)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
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(*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))) x)) (* 1/6 (fmod (exp x) 1))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) x)) x)) x)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
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)) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1)))) (+ (* -1/2 (fmod (exp x) 1)) (* 1/6 (fmod (exp x) 1)))))) (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1)) |
(fma.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/6 x)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/6 x)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/6 x)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
Compiled 23 686 to 1 880 computations (92.1% saved)
29 alts after pruning (24 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 782 | 11 | 793 |
| Fresh | 3 | 13 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 787 | 29 | 816 |
| Status | Accuracy | Program |
|---|---|---|
| 16.7% | (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| 51.5% | (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) | |
| 22.8% | (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) | |
| ✓ | 21.0% | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 7.6% | (/.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) | |
| 51.8% | (/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) | |
| 7.9% | (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 x)) | |
| 7.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) x)) | |
| 7.4% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) | |
| ✓ | 7.7% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| 9.8% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (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))) | |
| 7.2% | (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) | |
| 51.7% | (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) | |
| 7.6% | (*.f64 (fmod.f64 (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)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 7.4% | (*.f64 (fmod.f64 (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)) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 14.0% | (*.f64 (fmod.f64 (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)) #s(literal 1 binary64)) (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))) | |
| 13.9% | (*.f64 (fmod.f64 (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)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 17.6% | (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 17.4% | (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) | |
| 17.6% | (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 51.5% | (*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 51.5% | (*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) | |
| 11.7% | (*.f64 (fmod.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (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))) | |
| 11.0% | (*.f64 (fmod.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (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))) | |
| 7.6% | (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (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))) | |
| ✓ | 7.9% | (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| 8.0% | (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) | |
| ✓ | 7.4% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
| ✓ | 7.7% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 1 466 to 465 computations (68.3% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (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)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (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)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (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)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (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)) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (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))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (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))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (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))) |
(*.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) #s(literal -1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
2 calls:
| 17.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 3 | x |
| 62.6% | 3 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (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)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (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)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (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)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (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)) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (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))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (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))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (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))) |
(*.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 x)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
1 calls:
| 11.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 3 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (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)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (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)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (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)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (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)) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (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))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (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))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (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))) |
(*.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
2 calls:
| 16.0ms | x |
| 11.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 3 | x |
| 62.5% | 3 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (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)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (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)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (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)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (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)) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (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))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (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))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (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))) |
(*.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| Outputs |
|---|
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
2 calls:
| 16.0ms | x |
| 9.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 3 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 62.5% | 3 | x |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (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)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (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)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (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)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (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)) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (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))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (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))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (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))) |
(*.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fmod.f64 (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)) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| Outputs |
|---|
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
1 calls:
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (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)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (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)) #s(literal 1 binary64)) (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))) |
(*.f64 (fmod.f64 (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)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (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)) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (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))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (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))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (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))) |
| Outputs |
|---|
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 3 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 62.1% | 3 | x |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.1% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 2 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 61.4% | 3 | x |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.4% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
| Outputs |
|---|
(fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 2 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 61.2% | 3 | x |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| Outputs |
|---|
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.8% | 1 | x |
| 22.8% | 1 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 13 to 9 computations (30.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 21.0% | 1 | x |
| 21.0% | 1 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 13 to 9 computations (30.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | NaN |
| 0.0ms | 1.1633445304648405e-9 | 7.038310807536228e-7 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | NaN |
| 0.0ms | 1.1633445304648405e-9 | 7.038310807536228e-7 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | binary-search |
| 1× | predicate-failed |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 60.0ms | 0.0027052812543243063 | 15384466.161796002 |
| 72.0ms | -1.9000765563703913e-307 | 5.921521287380113e-304 |
| 67.0ms | 144× | 2 | valid |
| 53.0ms | 101× | 0 | invalid |
| 4.0ms | 16× | 1 | valid |
Compiled 230 to 160 computations (30.4% saved)
ival-neg: 43.0ms (37.4% of total)ival-exp: 27.0ms (23.5% of total)ival-fmod: 26.0ms (22.6% of total)ival-cos: 7.0ms (6.1% of total)adjust: 5.0ms (4.3% of total)ival-sqrt: 4.0ms (3.5% of total)ival-mult: 3.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-failed |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 0.0027052812543243063 | 15384466.161796002 |
| 1.0ms | -1.9000765563703913e-307 | 5.921521287380113e-304 |
| 22.0ms | 101× | 0 | invalid |
Compiled 239 to 178 computations (25.5% saved)
ival-fmod: 12.0ms (61.9% of total)ival-cos: 3.0ms (15.5% of total)ival-exp: 2.0ms (10.3% of total)ival-sqrt: 1.0ms (5.2% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-failed |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.0027052812543243063 | 15384466.161796002 |
| 1.0ms | -1.9000765563703913e-307 | 5.921521287380113e-304 |
| 10.0ms | 101× | 0 | invalid |
Compiled 338 to 214 computations (36.7% saved)
ival-cos: 3.0ms (37.3% of total)ival-exp: 2.0ms (24.9% of total)ival-sqrt: 1.0ms (12.4% of total)ival-fmod: 1.0ms (12.4% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-failed |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.0027052812543243063 | 15384466.161796002 |
| 1.0ms | -1.9000765563703913e-307 | 5.921521287380113e-304 |
| 16.0ms | 101× | 0 | invalid |
Compiled 388 to 234 computations (39.7% saved)
ival-cos: 8.0ms (60% of total)ival-exp: 2.0ms (15% of total)ival-fmod: 2.0ms (15% of total)ival-sqrt: 1.0ms (7.5% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-failed |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.0027052812543243063 | 15384466.161796002 |
| 1.0ms | -1.9000765563703913e-307 | 5.921521287380113e-304 |
| 12.0ms | 101× | 0 | invalid |
Compiled 370 to 225 computations (39.2% saved)
ival-cos: 3.0ms (31.3% of total)ival-exp: 2.0ms (20.8% of total)ival-sqrt: 2.0ms (20.8% of total)ival-fmod: 1.0ms (10.4% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-failed |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.0027052812543243063 | 15384466.161796002 |
| 1.0ms | -1.9000765563703913e-307 | 5.921521287380113e-304 |
| 12.0ms | 101× | 0 | invalid |
Compiled 334 to 207 computations (38% saved)
ival-cos: 3.0ms (36.2% of total)ival-exp: 2.0ms (24.1% of total)ival-mult: 1.0ms (12.1% of total)ival-sqrt: 1.0ms (12.1% of total)ival-fmod: 1.0ms (12.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-failed |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.0027052812543243063 | 15384466.161796002 |
| 1.0ms | -1.9000765563703913e-307 | 5.921521287380113e-304 |
| 13.0ms | 101× | 0 | invalid |
| 3.0ms | 32× | 0 | valid |
Compiled 332 to 213 computations (35.8% saved)
ival-cos: 4.0ms (36.5% of total)ival-exp: 3.0ms (27.4% of total)ival-fmod: 2.0ms (18.2% of total)ival-mult: 1.0ms (9.1% of total)ival-sqrt: 1.0ms (9.1% of total)ival-neg: 1.0ms (9.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-failed |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.0027052812543243063 | 15384466.161796002 |
| 1.0ms | -1.9000765563703913e-307 | 5.921521287380113e-304 |
| 12.0ms | 101× | 0 | invalid |
Compiled 296 to 195 computations (34.1% saved)
ival-cos: 4.0ms (43.8% of total)ival-exp: 2.0ms (21.9% of total)ival-mult: 1.0ms (10.9% of total)ival-sqrt: 1.0ms (10.9% of total)ival-fmod: 1.0ms (10.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-failed |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.0027052812543243063 | 15384466.161796002 |
| 1.0ms | -1.9000765563703913e-307 | 5.921521287380113e-304 |
| 12.0ms | 101× | 0 | invalid |
Compiled 218 to 149 computations (31.7% saved)
ival-exp: 3.0ms (32% of total)ival-cos: 3.0ms (32% of total)ival-sqrt: 1.0ms (10.7% of total)ival-fmod: 1.0ms (10.7% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1633445304648405e-9 | 7.038310807536228e-7 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
| 22× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 466 |
| 1 | 88 | 466 |
| 2 | 91 | 466 |
| 3 | 92 | 466 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal 400 binary64)) (/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 400 binary64)) (/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 x #s(literal 400 binary64)) (/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 x #s(literal 400 binary64)) (*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 400 binary64)) (*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 400 binary64)) (*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 400 binary64)) (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal 400 binary64)) (/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 400 binary64)) (/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 400 binary64)) (/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 x #s(literal 400 binary64)) (/.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 x #s(literal 400 binary64)) (*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 400 binary64)) (*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 400 binary64)) (*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 400 binary64)) (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 27 714× | lower-fma.f64 |
| 27 714× | lower-fma.f32 |
| 17 734× | lower-fma.f64 |
| 17 734× | lower-fma.f32 |
| 15 628× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 0 | 15 | 23 |
| 1 | 24 | 22 |
| 2 | 63 | 22 |
| 3 | 257 | 22 |
| 0 | 1992 | 22 |
| 0 | 20 | 75 |
| 0 | 38 | 74 |
| 1 | 105 | 72 |
| 2 | 635 | 72 |
| 3 | 6067 | 72 |
| 0 | 9082 | 72 |
| 0 | 234 | 1909 |
| 1 | 752 | 1779 |
| 2 | 2506 | 1685 |
| 0 | 8789 | 1521 |
| 0 | 23 | 119 |
| 0 | 46 | 119 |
| 1 | 171 | 118 |
| 2 | 1200 | 118 |
| 0 | 8225 | 118 |
| 0 | 76 | 401 |
| 1 | 181 | 380 |
| 2 | 412 | 368 |
| 3 | 1045 | 358 |
| 4 | 1890 | 358 |
| 5 | 3512 | 358 |
| 6 | 4863 | 358 |
| 7 | 6196 | 358 |
| 8 | 7695 | 358 |
| 0 | 8062 | 336 |
| 0 | 225 | 2627 |
| 1 | 651 | 2400 |
| 2 | 1731 | 2185 |
| 3 | 4563 | 2177 |
| 0 | 8262 | 1883 |
| 0 | 152 | 1262 |
| 1 | 431 | 1116 |
| 2 | 1139 | 1035 |
| 3 | 3566 | 1020 |
| 0 | 8192 | 989 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 657 to 900 computations (45.7% saved)
Compiled 956 to 156 computations (83.7% saved)
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