
Time bar (total: 12.3s)
| 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)
| 1.4s | 1 635× | 5 | exit |
| 1.0s | 2 584× | 2 | valid |
| 727.0ms | 3 621× | 1 | valid |
| 349.0ms | 3 201× | 0 | invalid |
| 219.0ms | 2 051× | 0 | valid |
ival-cos: 1.2s (35.9% of total)ival-fmod: 737.0ms (22.5% of total)ival-exp: 707.0ms (21.6% of total)ival-sqrt: 238.0ms (7.3% of total)adjust: 196.0ms (6% of total)ival-mult: 144.0ms (4.4% of total)ival-neg: 61.0ms (1.9% of total)ival-true: 10.0ms (0.3% of total)ival-assert: 5.0ms (0.2% of total)| 2× | egg-herbie |
| 32× | sub-neg |
| 30× | times-frac |
| 28× | div-sub |
| 24× | *-lowering-*.f32 |
| 24× | *-lowering-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 31 |
| 1 | 35 | 31 |
| 2 | 78 | 30 |
| 3 | 138 | 30 |
| 4 | 187 | 30 |
| 5 | 207 | 30 |
| 6 | 224 | 30 |
| 7 | 243 | 30 |
| 8 | 254 | 30 |
| 9 | 256 | 30 |
| 0 | 8 | 10 |
| 1 | 15 | 10 |
| 2 | 25 | 9 |
| 3 | 31 | 9 |
| 4 | 36 | 9 |
| 5 | 42 | 9 |
| 6 | 49 | 9 |
| 7 | 55 | 9 |
| 8 | 56 | 9 |
| 0 | 56 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
| Outputs |
|---|
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| Inputs |
|---|
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
(* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x)))) |
(neg (* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x))))) |
| Outputs |
|---|
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x)))) |
(* (fmod (exp (neg x)) (sqrt (cos x))) (exp x)) |
(neg (* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x))))) |
(* (fmod (exp (neg x)) (sqrt (cos x))) (neg (exp x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 199 | 0 | - | 199 | (-8.900134799138704e-180) | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (cos.f64 x)) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 1 | (-175.13041616694636) | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 253 |
| - | 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 253 |
| - | 1 | 0 | 2 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 110.0ms | 162× | 2 | valid |
| 95.0ms | 220× | 1 | valid |
| 22.0ms | 108× | 1 | exit |
| 2.0ms | 22× | 0 | valid |
Compiled 84 to 36 computations (57.1% saved)
ival-fmod: 72.0ms (34.8% of total)ival-mult: 50.0ms (24.2% of total)ival-exp: 36.0ms (17.4% of total)ival-cos: 21.0ms (10.2% of total)adjust: 15.0ms (7.3% of total)ival-sqrt: 9.0ms (4.4% of total)ival-neg: 2.0ms (1% 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 |
|---|---|---|
| ▶ | 5.8% | (*.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 | 128 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 24× | *-lowering-*.f32 |
| 24× | *-lowering-*.f64 |
| 12× | /-lowering-/.f32 |
| 12× | /-lowering-/.f64 |
| 8× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 1 | 15 | 29 |
| 2 | 25 | 28 |
| 3 | 31 | 28 |
| 4 | 36 | 28 |
| 5 | 42 | 28 |
| 6 | 49 | 28 |
| 7 | 55 | 28 |
| 8 | 56 | 28 |
| 0 | 56 | 28 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
x |
(sqrt (cos x)) |
(cos x) |
(exp (neg x)) |
(neg x) |
| Outputs |
|---|
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp x) |
(exp.f64 x) |
x |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) 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 | 100.0% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 26.9% | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 33.0ms | 81× | 2 | valid |
| 25.0ms | 110× | 1 | valid |
| 7.0ms | 54× | 1 | exit |
| 1.0ms | 11× | 0 | valid |
Compiled 31 to 10 computations (67.7% saved)
ival-exp: 16.0ms (29.4% of total)ival-fmod: 14.0ms (25.8% of total)ival-cos: 10.0ms (18.4% of total)ival-mult: 5.0ms (9.2% of total)adjust: 4.0ms (7.4% of total)ival-sqrt: 4.0ms (7.4% of total)ival-neg: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (exp x)> |
#<alt (sqrt (cos x))> |
#<alt (cos 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 | @ | inf | (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
| 0.0ms | x | @ | 0 | (sqrt (cos x)) |
| 0.0ms | x | @ | 0 | (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
| 0.0ms | x | @ | inf | (sqrt (cos x)) |
| 1× | batch-egg-rewrite |
| 612× | *-lowering-*.f32 |
| 612× | *-lowering-*.f64 |
| 600× | /-lowering-/.f32 |
| 600× | /-lowering-/.f64 |
| 252× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 17 | 22 |
| 2 | 56 | 22 |
| 3 | 249 | 22 |
| 0 | 1987 | 22 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(sqrt (cos x)) |
(cos x) |
| Outputs |
|---|
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (exp.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) |
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (exp.f64 x)) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 x)) |
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (exp.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) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (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) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (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))))) |
(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(exp.f64 x) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (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 2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (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 (+.f64 (*.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× | accelerator-lowering-fma.f32 |
| 13 324× | accelerator-lowering-fma.f64 |
| 3 658× | *-lowering-*.f32 |
| 3 658× | *-lowering-*.f64 |
| 2 382× | +-lowering-+.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))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 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))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.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)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 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))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 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 1 602 to 284 computations (82.3% 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 |
|---|---|---|
| ▶ | 4.8% | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 5.8% | (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) | |
| ▶ | 5.8% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| ▶ | 5.8% | (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
| ▶ | 26.5% | (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 5.6% | (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))) | |
| ▶ | 5.4% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| 24.9% | (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) | |
| 5.8% | (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) |
Compiled 210 to 146 computations (30.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 64 | (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 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))) (exp.f64 x)) |
| ✓ | cost-diff | 0 | (cos.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 | (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 | 128 | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (cos.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
| ✓ | cost-diff | 128 | (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 60× | *-lowering-*.f32 |
| 60× | *-lowering-*.f64 |
| 38× | /-lowering-/.f32 |
| 38× | /-lowering-/.f64 |
| 22× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 125 |
| 1 | 30 | 125 |
| 2 | 45 | 123 |
| 3 | 56 | 123 |
| 4 | 66 | 123 |
| 5 | 72 | 123 |
| 6 | 83 | 123 |
| 7 | 106 | 123 |
| 8 | 117 | 123 |
| 9 | 120 | 123 |
| 10 | 121 | 123 |
| 0 | 121 | 123 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (fmod (+ x 1) (sqrt (cos x))) (exp (neg x))) |
(fmod (+ x 1) (sqrt (cos x))) |
(+ x 1) |
x |
1 |
(sqrt (cos x)) |
(cos x) |
(exp (neg x)) |
(neg x) |
(* (fmod (exp x) 1) (exp (neg x))) |
(fmod (exp x) 1) |
(exp x) |
x |
1 |
(exp (neg x)) |
(neg x) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
x |
(sqrt (cos x)) |
(cos x) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
x |
(sqrt (cos x)) |
(cos x) |
(/ 1 (/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))) |
1 |
(/ (exp x) (fmod (exp x) (pow (cos x) 1/2))) |
(exp x) |
x |
(fmod (exp x) (pow (cos x) 1/2)) |
(pow (cos x) 1/2) |
(cos x) |
1/2 |
| Outputs |
|---|
(* (fmod (+ x 1) (sqrt (cos x))) (exp (neg x))) |
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (+ x 1) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
(* (fmod (exp x) 1) (exp (neg x))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
x |
1 |
#s(literal 1 binary64) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp x) |
(exp.f64 x) |
x |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp x) |
(exp.f64 x) |
x |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(/ 1 (/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
1 |
#s(literal 1 binary64) |
(/ (exp x) (fmod (exp x) (pow (cos x) 1/2))) |
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(exp x) |
(exp.f64 x) |
x |
(fmod (exp x) (pow (cos x) 1/2)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(pow (cos x) 1/2) |
(sqrt.f64 (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
1/2 |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 26.9% | (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (cos.f64 x)) |
| ✓ | accuracy | 26.9% | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (cos.f64 x)) |
| ✓ | accuracy | 26.9% | (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 | 100.0% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 26.9% | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (cos.f64 x)) |
| ✓ | accuracy | 27.3% | (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
| 85.0ms | 110× | 1 | valid |
| 62.0ms | 81× | 2 | valid |
| 12.0ms | 54× | 1 | exit |
| 2.0ms | 11× | 0 | valid |
Compiled 133 to 19 computations (85.7% saved)
ival-cos: 48.0ms (35.3% of total)ival-fmod: 41.0ms (30.2% of total)ival-exp: 16.0ms (11.8% of total)ival-div: 9.0ms (6.6% of total)adjust: 7.0ms (5.1% of total)ival-mult: 5.0ms (3.7% of total)ival-sqrt: 4.0ms (2.9% of total)ival-add: 3.0ms (2.2% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (fmod (+ x 1) (sqrt (cos x))) (exp (neg x)))> |
#<alt (fmod (+ x 1) (sqrt (cos x)))> |
#<alt (+ x 1)> |
#<alt (sqrt (cos x))> |
#<alt (* (fmod (exp x) 1) (exp (neg x)))> |
#<alt (fmod (exp x) 1)> |
#<alt (exp x)> |
#<alt (exp (neg x))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (cos x)> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ 1 (/ (exp x) (fmod (exp x) (pow (cos x) 1/2))))> |
#<alt (pow (cos x) 1/2)> |
#<alt (/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))> |
#<alt (fmod (exp x) (pow (cos x) 1/2))> |
| Outputs |
|---|
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ 1 x) (sqrt (cos x))))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))))) (fmod (+ 1 x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))> |
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))> |
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))> |
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 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 (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 (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 (* -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) (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))> |
#<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))> |
#<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 (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))> |
#<alt (+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))> |
#<alt (+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))> |
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))> |
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))> |
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))> |
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))> |
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))> |
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))> |
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))> |
#<alt (/ (exp 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)))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | x | @ | 0 | (/ (exp x) (fmod (exp x) (pow (cos x) 1/2))) |
| 1.0ms | x | @ | inf | (+ x 1) |
| 1.0ms | x | @ | -inf | (/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
| 1.0ms | x | @ | inf | (/ (exp x) (fmod (exp x) (pow (cos x) 1/2))) |
| 0.0ms | x | @ | -inf | (/ (exp x) (fmod (exp x) (pow (cos x) 1/2))) |
| 1× | batch-egg-rewrite |
| 5 090× | *-lowering-*.f32 |
| 5 090× | *-lowering-*.f64 |
| 3 284× | /-lowering-/.f32 |
| 3 284× | /-lowering-/.f64 |
| 2 364× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 85 |
| 1 | 72 | 83 |
| 2 | 298 | 83 |
| 3 | 1791 | 83 |
| 0 | 8427 | 83 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (fmod (+ x 1) (sqrt (cos x))) (exp (neg x))) |
(fmod (+ x 1) (sqrt (cos x))) |
(+ x 1) |
(sqrt (cos x)) |
(* (fmod (exp x) 1) (exp (neg x))) |
(fmod (exp x) 1) |
(exp x) |
(exp (neg x)) |
(fmod (exp x) (sqrt (cos x))) |
(cos x) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ 1 (/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))) |
(pow (cos x) 1/2) |
(/ (exp x) (fmod (exp x) (pow (cos x) 1/2))) |
(fmod (exp x) (pow (cos x) 1/2)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) |
(/.f64 (neg.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))) |
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 x (log.f64 (E.f64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
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(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (+.f64 x (log.f64 (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))) |
(*.f64 (exp.f64 (+.f64 x (log.f64 #s(literal -1 binary64)))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))) |
(*.f64 (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) (exp.f64 (+.f64 x (log.f64 #s(literal -1 binary64))))) |
(exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 19 906× | accelerator-lowering-fma.f32 |
| 19 906× | accelerator-lowering-fma.f64 |
| 5 222× | *-lowering-*.f32 |
| 5 222× | *-lowering-*.f64 |
| 3 328× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1405 |
| 1 | 416 | 1346 |
| 2 | 1067 | 1261 |
| 3 | 4067 | 1243 |
| 0 | 8521 | 1197 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod (+ 1 x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ 1 x) (sqrt (cos x))))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))))) (fmod (+ 1 x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x)))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 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)) |
(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))) |
(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 (* -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) (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)) |
(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)) |
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 (fmod (exp x) (sqrt (cos x)))) |
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x))))) |
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x))))) |
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (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) (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))) |
| Outputs |
|---|
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) |
(+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ 1 x) (sqrt (cos x))))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))))) (fmod (+ 1 x) (sqrt (cos x)))) |
(+.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (*.f64 x (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
(* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 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)) |
(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 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* x (+ (* -1/6 (* x (fmod (exp x) 1))) (* 1/2 (fmod (exp x) 1)))))) (fmod (exp x) 1)) |
(+.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
(* (exp (neg x)) (fmod (exp x) 1)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) 1)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) 1)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) 1)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) 1)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) 1)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) 1)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) 1)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.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)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (* -1 x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (* -1 x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (* -1 x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (* -1 x)) |
(/.f64 #s(literal 1 binary64) (exp.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 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 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) (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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.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)))) |
(+.f64 (*.f64 (*.f64 x 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 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.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 (* 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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.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)))) |
(+.f64 (*.f64 (*.f64 x 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 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 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 (fmod (exp x) (sqrt (cos x)))) |
(/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) |
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x))))) |
(+.f64 (*.f64 x (*.f64 (/.f64 x (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) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) |
(/ (exp x) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(/ (exp x) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(/ (exp x) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(/ (exp x) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(/ (exp x) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(/ (exp x) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(/ (exp x) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(/ (exp x) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (exp.f64 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))) |
Compiled 15 389 to 1 631 computations (89.4% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 963 | 17 | 980 |
| Fresh | 4 | 0 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 971 | 18 | 989 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 4.8% | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 4.1% | (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) | |
| 5.6% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) | |
| 5.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) | |
| 5.7% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (E.f64) x)) | |
| ✓ | 5.8% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| ▶ | 5.4% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| 5.8% | (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))) | |
| 5.2% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) | |
| 5.4% | (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) | |
| ▶ | 26.3% | (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) |
| 26.5% | (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) | |
| 12.1% | (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) | |
| ▶ | 5.0% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
| 5.0% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) | |
| 5.0% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) | |
| ▶ | 63.2% | (*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 24.8% | (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 454 to 322 computations (29.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (cos.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) 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 x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (cos.f64 x)) |
| ✓ | cost-diff | 0 | (fmod.f64 x (sqrt.f64 (cos.f64 x))) |
| ✓ | cost-diff | 128 | (*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 1 784× | accelerator-lowering-fma.f32 |
| 1 784× | accelerator-lowering-fma.f64 |
| 852× | *-lowering-*.f32 |
| 852× | *-lowering-*.f64 |
| 530× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 154 |
| 1 | 55 | 154 |
| 2 | 107 | 153 |
| 3 | 236 | 153 |
| 4 | 552 | 153 |
| 5 | 1187 | 153 |
| 6 | 1654 | 153 |
| 7 | 2376 | 153 |
| 8 | 2501 | 153 |
| 9 | 2645 | 153 |
| 10 | 2842 | 153 |
| 11 | 3031 | 153 |
| 12 | 3054 | 153 |
| 13 | 3126 | 153 |
| 14 | 3200 | 153 |
| 15 | 3202 | 153 |
| 16 | 3204 | 153 |
| 17 | 3207 | 153 |
| 18 | 3208 | 153 |
| 19 | 3208 | 153 |
| 0 | 3208 | 148 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (fmod x (sqrt (cos x))) (exp (neg x))) |
(fmod x (sqrt (cos x))) |
x |
(sqrt (cos x)) |
(cos x) |
(exp (neg x)) |
(neg x) |
(fmod (exp x) 1) |
(exp x) |
x |
1 |
(* (fmod (exp x) 1) (- 1 (- x (* 1/2 (* x x))))) |
(fmod (exp x) 1) |
(exp x) |
x |
1 |
(- 1 (- x (* 1/2 (* x x)))) |
(- x (* 1/2 (* x x))) |
(* 1/2 (* x x)) |
1/2 |
(* x x) |
(/ (fmod (exp x) 1) (exp x)) |
(fmod (exp x) 1) |
(exp x) |
x |
1 |
(* (fmod (+ x 1) (sqrt (cos x))) (pow (exp (- 0 (* x x))) (/ 1 x))) |
(fmod (+ x 1) (sqrt (cos x))) |
(+ x 1) |
x |
1 |
(sqrt (cos x)) |
(cos x) |
(pow (exp (- 0 (* x x))) (/ 1 x)) |
(exp (- 0 (* x x))) |
(- 0 (* x x)) |
0 |
(* x x) |
(/ 1 x) |
| Outputs |
|---|
(* (fmod x (sqrt (cos x))) (exp (neg x))) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod x (sqrt (cos x))) |
(fmod.f64 x (sqrt.f64 (cos.f64 x))) |
x |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
x |
1 |
#s(literal 1 binary64) |
(* (fmod (exp x) 1) (- 1 (- x (* 1/2 (* x x))))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
x |
1 |
#s(literal 1 binary64) |
(- 1 (- x (* 1/2 (* x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(- x (* 1/2 (* x x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* 1/2 (* x x)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* x x) |
(*.f64 x x) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
x |
1 |
#s(literal 1 binary64) |
(* (fmod (+ x 1) (sqrt (cos x))) (pow (exp (- 0 (* x x))) (/ 1 x))) |
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) x))) |
(fmod (+ x 1) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(pow (exp (- 0 (* x x))) (/ 1 x)) |
(pow.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) x)) |
(exp (- 0 (* x x))) |
(exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
(- 0 (* x x)) |
(*.f64 x (-.f64 #s(literal 0 binary64) x)) |
0 |
#s(literal 0 binary64) |
(* x x) |
(*.f64 x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 (cos.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.0% | (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 27.3% | (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| ✓ | accuracy | 27.3% | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
| ✓ | accuracy | 27.3% | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 27.3% | (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 x (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 99.9% | (fmod.f64 x (sqrt.f64 (cos.f64 x))) |
| 149.0ms | 117× | 1 | valid |
| 97.0ms | 81× | 2 | valid |
| 17.0ms | 55× | 1 | exit |
| 1.0ms | 3× | 0 | valid |
Compiled 160 to 27 computations (83.1% saved)
ival-fmod: 115.0ms (49.3% of total)ival-pow: 35.0ms (15% of total)ival-exp: 19.0ms (8.1% of total)ival-mult: 16.0ms (6.9% of total)adjust: 13.0ms (5.6% of total)ival-cos: 12.0ms (5.1% of total)ival-div: 7.0ms (3% of total)ival-sub: 7.0ms (3% of total)ival-sqrt: 5.0ms (2.1% of total)ival-add: 3.0ms (1.3% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (fmod x (sqrt (cos x))) (exp (neg x)))> |
#<alt (fmod x (sqrt (cos x)))> |
#<alt (sqrt (cos x))> |
#<alt (cos x)> |
#<alt (fmod (exp x) 1)> |
#<alt (exp x)> |
#<alt (* (fmod (exp x) 1) (- 1 (- x (* 1/2 (* x x)))))> |
#<alt (- 1 (- x (* 1/2 (* x x))))> |
#<alt (/ (fmod (exp x) 1) (exp x))> |
#<alt (* (fmod (+ x 1) (sqrt (cos x))) (pow (exp (- 0 (* x x))) (/ 1 x)))> |
#<alt (fmod (+ x 1) (sqrt (cos x)))> |
#<alt (+ x 1)> |
#<alt (* 1/2 (* x x))> |
#<alt (pow (exp (- 0 (* x x))) (/ 1 x))> |
#<alt (exp (- 0 (* x x)))> |
| Outputs |
|---|
#<alt (fmod x (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (* x (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod x (sqrt (cos x))))) (* 1/2 (fmod x (sqrt (cos x)))))))) (fmod x (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod x (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod x (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod x (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod x (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod x (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod x (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod x (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod x (sqrt (cos x))))> |
#<alt (fmod x (sqrt (cos x)))> |
#<alt (fmod x (sqrt (cos x)))> |
#<alt (fmod x (sqrt (cos x)))> |
#<alt (fmod x (sqrt (cos x)))> |
#<alt (fmod x (sqrt (cos x)))> |
#<alt (fmod x (sqrt (cos x)))> |
#<alt (fmod x (sqrt (cos x)))> |
#<alt (fmod x (sqrt (cos x)))> |
#<alt (fmod x (sqrt (cos x)))> |
#<alt (fmod x (sqrt (cos x)))> |
#<alt (fmod x (sqrt (cos x)))> |
#<alt (fmod x (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 (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 (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)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))> |
#<alt (* 1/2 (* (pow x 2) (fmod (exp x) 1)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2)))))> |
#<alt (* 1/2 (* (pow x 2) (fmod (exp x) 1)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))> |
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 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 (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ 1 x) (sqrt (cos x))))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))))) (fmod (+ 1 x) (sqrt (cos x))))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))> |
#<alt (+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x)))))> |
#<alt (+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (+ (* -1/6 (* (pow x 3) (fmod (+ 1 x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))))> |
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (fmod (- 1 (* -1 x)) (sqrt (cos x))))> |
#<alt (+ (* -1 (/ (+ (* -1/2 (* (pow x 3) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (* (pow x 2) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (pow x 5) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (- 1 (* -1 x)) (sqrt (cos x)))))) x)) (* (pow x 2) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (fmod (+ 1 x) (sqrt (cos x)))> |
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))> |
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))> |
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))> |
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<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> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))> |
#<alt (+ 1 (+ (* -1 x) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (pow x 3)) (pow x 2)) x)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow x 5)) (* 1/2 (pow x 4))) x)) (pow x 2)) x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/6 (pow x 2)))) 1)))> |
#<alt (exp (neg (pow x 2)))> |
#<alt (exp (neg (pow x 2)))> |
#<alt (exp (neg (pow x 2)))> |
#<alt (exp (neg (pow x 2)))> |
#<alt (exp (neg (pow x 2)))> |
#<alt (exp (neg (pow x 2)))> |
#<alt (exp (neg (pow x 2)))> |
#<alt (exp (neg (pow x 2)))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (* 1/2 (* x x)) |
| 2.0ms | x | @ | 0 | (* (fmod x (sqrt (cos x))) (exp (neg x))) |
| 1.0ms | x | @ | inf | (* (fmod (+ x 1) (sqrt (cos x))) (pow (exp (- 0 (* x x))) (/ 1 x))) |
| 1.0ms | x | @ | -inf | (* (fmod (+ x 1) (sqrt (cos x))) (pow (exp (- 0 (* x x))) (/ 1 x))) |
| 0.0ms | x | @ | inf | (/ (fmod (exp x) 1) (exp x)) |
| 1× | batch-egg-rewrite |
| 5 108× | accelerator-lowering-fma.f32 |
| 5 108× | accelerator-lowering-fma.f64 |
| 3 994× | *-lowering-*.f32 |
| 3 994× | *-lowering-*.f64 |
| 3 774× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 101 |
| 1 | 122 | 96 |
| 2 | 865 | 88 |
| 0 | 8915 | 86 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (fmod x (sqrt (cos x))) (exp (neg x))) |
(fmod x (sqrt (cos x))) |
(sqrt (cos x)) |
(cos x) |
(fmod (exp x) 1) |
(exp x) |
(* (fmod (exp x) 1) (- 1 (- x (* 1/2 (* x x))))) |
(- 1 (- x (* 1/2 (* x x)))) |
(/ (fmod (exp x) 1) (exp x)) |
(* (fmod (+ x 1) (sqrt (cos x))) (pow (exp (- 0 (* x x))) (/ 1 x))) |
(fmod (+ x 1) (sqrt (cos x))) |
(+ x 1) |
(* 1/2 (* x x)) |
(pow (exp (- 0 (* x x))) (/ 1 x)) |
(exp (- 0 (* x x))) |
| Outputs |
|---|
(/.f64 (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(*.f64 (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 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) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(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)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(exp.f64 x) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (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) (exp.f64 x)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(+.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
(+.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x x) #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 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #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 binary64) x)) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(fma.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(fma.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(fma.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))) (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (*.f64 (neg.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
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(pow.f64 (pow.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(*.f64 (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))) (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) |
(*.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)))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) x) |
(pow.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x x)) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))))) |
(*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (*.f64 x x)) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 16 466× | accelerator-lowering-fma.f32 |
| 16 466× | accelerator-lowering-fma.f64 |
| 4 588× | *-lowering-*.f32 |
| 4 588× | *-lowering-*.f64 |
| 2 374× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 1551 |
| 1 | 625 | 1408 |
| 2 | 1646 | 1336 |
| 3 | 4605 | 1322 |
| 0 | 8264 | 1247 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod x (sqrt (cos x))) |
(+ (* -1 (* x (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (* x (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod x (sqrt (cos x))))) (* 1/2 (fmod x (sqrt (cos x)))))))) (fmod x (sqrt (cos x)))) |
(* (exp (neg x)) (fmod x (sqrt (cos x)))) |
(* (exp (neg x)) (fmod x (sqrt (cos x)))) |
(* (exp (neg x)) (fmod x (sqrt (cos x)))) |
(* (exp (neg x)) (fmod x (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod x (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod x (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod x (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod x (sqrt (cos x)))) |
(fmod x (sqrt (cos x))) |
(fmod x (sqrt (cos x))) |
(fmod x (sqrt (cos x))) |
(fmod x (sqrt (cos x))) |
(fmod x (sqrt (cos x))) |
(fmod x (sqrt (cos x))) |
(fmod x (sqrt (cos x))) |
(fmod x (sqrt (cos x))) |
(fmod x (sqrt (cos x))) |
(fmod x (sqrt (cos x))) |
(fmod x (sqrt (cos x))) |
(fmod x (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) |
(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 (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)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1)) |
(* 1/2 (* (pow x 2) (fmod (exp x) 1))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1)))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2))))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2))))) |
(* 1/2 (* (pow x 2) (fmod (exp x) 1))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 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)) |
(fmod (+ 1 x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ 1 x) (sqrt (cos x))))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))))) (fmod (+ 1 x) (sqrt (cos x)))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x)))) |
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))) |
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (+ (* -1/6 (* (pow x 3) (fmod (+ 1 x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x)))))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (fmod (- 1 (* -1 x)) (sqrt (cos x)))) |
(+ (* -1 (/ (+ (* -1/2 (* (pow x 3) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (* (pow x 2) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) x)) (fmod (- 1 (* -1 x)) (sqrt (cos x)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (pow x 5) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (- 1 (* -1 x)) (sqrt (cos x)))))) x)) (* (pow x 2) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) x)) (fmod (- 1 (* -1 x)) (sqrt (cos x)))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (* -1 x) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 2))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 (/ (+ (* -1/2 (pow x 3)) (pow x 2)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow x 5)) (* 1/2 (pow x 4))) x)) (pow x 2)) x))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/6 (pow x 2)))) 1))) |
(exp (neg (pow x 2))) |
(exp (neg (pow x 2))) |
(exp (neg (pow x 2))) |
(exp (neg (pow x 2))) |
(exp (neg (pow x 2))) |
(exp (neg (pow x 2))) |
(exp (neg (pow x 2))) |
(exp (neg (pow x 2))) |
| Outputs |
|---|
(fmod x (sqrt (cos x))) |
(fmod.f64 x (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x)))) |
(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) |
(+ (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (* x (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x)))) |
(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(+ (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod x (sqrt (cos x))))) (* 1/2 (fmod x (sqrt (cos x)))))))) (fmod x (sqrt (cos x)))) |
(+.f64 (*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(* (exp (neg x)) (fmod x (sqrt (cos x)))) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod x (sqrt (cos x)))) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod x (sqrt (cos x)))) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod x (sqrt (cos x)))) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod x (sqrt (cos x)))) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod x (sqrt (cos x)))) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod x (sqrt (cos x)))) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod x (sqrt (cos x)))) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod x (sqrt (cos x))) |
(fmod.f64 x (sqrt.f64 (cos.f64 x))) |
(fmod x (sqrt (cos x))) |
(fmod.f64 x (sqrt.f64 (cos.f64 x))) |
(fmod x (sqrt (cos x))) |
(fmod.f64 x (sqrt.f64 (cos.f64 x))) |
(fmod x (sqrt (cos x))) |
(fmod.f64 x (sqrt.f64 (cos.f64 x))) |
(fmod x (sqrt (cos x))) |
(fmod.f64 x (sqrt.f64 (cos.f64 x))) |
(fmod x (sqrt (cos x))) |
(fmod.f64 x (sqrt.f64 (cos.f64 x))) |
(fmod x (sqrt (cos x))) |
(fmod.f64 x (sqrt.f64 (cos.f64 x))) |
(fmod x (sqrt (cos x))) |
(fmod.f64 x (sqrt.f64 (cos.f64 x))) |
(fmod x (sqrt (cos x))) |
(fmod.f64 x (sqrt.f64 (cos.f64 x))) |
(fmod x (sqrt (cos x))) |
(fmod.f64 x (sqrt.f64 (cos.f64 x))) |
(fmod x (sqrt (cos x))) |
(fmod.f64 x (sqrt.f64 (cos.f64 x))) |
(fmod x (sqrt (cos x))) |
(fmod.f64 x (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 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))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 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)) |
(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)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(+ (* 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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(* 1/2 (* (pow x 2) (fmod (exp x) 1))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1)))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2))))) |
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) x))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2))))) |
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) x))) |
(* 1/2 (* (pow x 2) (fmod (exp x) 1))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1)))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1)))) |
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1)))) |
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) 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 (* 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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(+ (* 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)) |
(+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1/6 binary64))))) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) 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)) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ 1 x) (sqrt (cos x))))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))))) (fmod (+ 1 x) (sqrt (cos x)))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (*.f64 x (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) |
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))) |
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (+ (* -1/6 (* (pow x 3) (fmod (+ 1 x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x)))))) |
(+.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (fmod (- 1 (* -1 x)) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) |
(+ (* -1 (/ (+ (* -1/2 (* (pow x 3) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (* (pow x 2) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) x)) (fmod (- 1 (* -1 x)) (sqrt (cos x)))) |
(+.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (pow x 5) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (- 1 (* -1 x)) (sqrt (cos x)))))) x)) (* (pow x 2) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) x)) (fmod (- 1 (* -1 x)) (sqrt (cos x)))) |
(+.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) x) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(fmod (+ 1 x) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(fmod (- 1 (* -1 x)) (sqrt (cos x))) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(+ 1 (+ (* -1 x) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 (/ (+ (* -1/2 (pow x 3)) (pow x 2)) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow x 5)) (* 1/2 (pow x 4))) x)) (pow x 2)) x))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) x) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/6 (pow x 2)))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))))) |
(exp (neg (pow x 2))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(exp (neg (pow x 2))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(exp (neg (pow x 2))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(exp (neg (pow x 2))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(exp (neg (pow x 2))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(exp (neg (pow x 2))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(exp (neg (pow x 2))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(exp (neg (pow x 2))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
Compiled 13 078 to 1 266 computations (90.3% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 615 | 10 | 625 |
| Fresh | 6 | 6 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 625 | 18 | 643 |
| Status | Accuracy | Program |
|---|---|---|
| 25.2% | (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| 13.9% | (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) | |
| 42.4% | (fmod.f64 x (sqrt.f64 (cos.f64 x))) | |
| ▶ | 24.8% | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 12.1% | (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x)) | |
| 5.6% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) | |
| 5.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) | |
| 5.7% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (E.f64) x)) | |
| ✓ | 5.8% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| 5.0% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) | |
| ✓ | 5.4% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| ▶ | 5.8% | (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))) |
| 5.2% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) | |
| 13.6% | (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) | |
| 11.7% | (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) | |
| ▶ | 12.1% | (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| ▶ | 14.1% | (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
| ▶ | 63.2% | (*.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 480 to 327 computations (31.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (E.f64) |
| ✓ | cost-diff | 0 | (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))) |
| ✓ | cost-diff | 64 | (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
| ✓ | cost-diff | 0 | (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | -64 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (exp.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (fmod.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| 3 944× | accelerator-lowering-fma.f32 |
| 3 944× | accelerator-lowering-fma.f64 |
| 1 272× | *-lowering-*.f32 |
| 1 272× | *-lowering-*.f64 |
| 702× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 252 |
| 1 | 87 | 252 |
| 2 | 178 | 250 |
| 3 | 404 | 250 |
| 4 | 792 | 250 |
| 5 | 1826 | 250 |
| 6 | 3174 | 250 |
| 7 | 3517 | 250 |
| 8 | 3559 | 250 |
| 9 | 3561 | 250 |
| 10 | 3565 | 250 |
| 11 | 3715 | 250 |
| 12 | 3775 | 250 |
| 13 | 3775 | 250 |
| 14 | 3775 | 250 |
| 15 | 3779 | 250 |
| 0 | 3779 | 222 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (fmod x 1) (exp (neg x))) |
(fmod x 1) |
x |
1 |
(exp (neg x)) |
(neg x) |
(fmod 1 1) |
1 |
(* (fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1) (- 1 (- x (* 1/2 (* x x))))) |
(fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1) |
(+ 1 (* x (+ 1 (* x 1/2)))) |
1 |
(* x (+ 1 (* x 1/2))) |
x |
(+ 1 (* x 1/2)) |
(* x 1/2) |
1/2 |
(- 1 (- x (* 1/2 (* x x)))) |
(- x (* 1/2 (* x x))) |
(* 1/2 (* x x)) |
(* x x) |
(* (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) 1) (exp (neg x))) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) 1) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) |
1 |
(* x (+ 1 (* x (+ 1/2 (* x 1/6))))) |
x |
(+ 1 (* x (+ 1/2 (* x 1/6)))) |
(* x (+ 1/2 (* x 1/6))) |
(+ 1/2 (* x 1/6)) |
1/2 |
(* x 1/6) |
1/6 |
(exp (neg x)) |
(neg x) |
(/ 1 (pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2)))))) |
1 |
(pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2))))) |
(E) |
(- x (log (fmod (exp x) (pow (cos x) 1/2)))) |
x |
(log (fmod (exp x) (pow (cos x) 1/2))) |
(fmod (exp x) (pow (cos x) 1/2)) |
(exp x) |
(pow (cos x) 1/2) |
(cos x) |
1/2 |
| Outputs |
|---|
(* (fmod x 1) (exp (neg x))) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(fmod x 1) |
(fmod.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
(fmod 1 1) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* (fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1) (- 1 (- x (* 1/2 (* x x))))) |
(*.f64 (fmod.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1) |
(fmod.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x 1/2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
1 |
#s(literal 1 binary64) |
(* x (+ 1 (* x 1/2))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
x |
(+ 1 (* x 1/2)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(- 1 (- x (* 1/2 (* x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(- x (* 1/2 (* x x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* 1/2 (* x x)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* x x) |
(*.f64 x x) |
(* (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) 1) (exp (neg x))) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x)) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
1 |
#s(literal 1 binary64) |
(* x (+ 1 (* x (+ 1/2 (* x 1/6))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
x |
(+ 1 (* x (+ 1/2 (* x 1/6)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(* x (+ 1/2 (* x 1/6))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(+ 1/2 (* x 1/6)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
(/ 1 (pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2)))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) |
1 |
#s(literal 1 binary64) |
(pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2))))) |
(pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) |
(E) |
(E.f64) |
(- x (log (fmod (exp x) (pow (cos x) 1/2)))) |
(-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
x |
(log (fmod (exp x) (pow (cos x) 1/2))) |
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod (exp x) (pow (cos x) 1/2)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp x) |
(exp.f64 x) |
(pow (cos x) 1/2) |
(sqrt.f64 (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
1/2 |
#s(literal 1/2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) |
| ✓ | accuracy | 99.8% | (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 3.9% | (E.f64) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.9% | (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fmod.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| 158.0ms | 254× | 1 | exit |
| 1.0ms | 2× | 0 | valid |
Compiled 260 to 38 computations (85.4% saved)
ival-fmod: 48.0ms (37.2% of total)adjust: 24.0ms (18.6% of total)ival-mult: 24.0ms (18.6% of total)ival-add: 5.0ms (3.9% of total)ival-exp: 4.0ms (3.1% of total)ival-cos: 4.0ms (3.1% of total)const: 4.0ms (3.1% of total)ival-pow: 4.0ms (3.1% of total)ival-sub: 3.0ms (2.3% of total)ival-div: 2.0ms (1.6% of total)ival-sqrt: 2.0ms (1.6% of total)ival-e: 2.0ms (1.6% of total)ival-log: 2.0ms (1.6% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (fmod x 1) (exp (neg x)))> |
#<alt (fmod x 1)> |
#<alt (exp (neg x))> |
#<alt (neg x)> |
#<alt (fmod 1 1)> |
#<alt (* (fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1) (- 1 (- x (* 1/2 (* x x)))))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1)> |
#<alt (+ 1 (* x (+ 1 (* x 1/2))))> |
#<alt (* x (+ 1 (* x 1/2)))> |
#<alt (* (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) 1) (exp (neg x)))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) 1)> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))> |
#<alt (pow (cos x) 1/2)> |
#<alt (/ 1 (pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2))))))> |
#<alt (pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2)))))> |
#<alt (E)> |
#<alt (* 1/2 (* x x))> |
#<alt (* x 1/6)> |
#<alt (* x (+ 1/2 (* x 1/6)))> |
#<alt (fmod (exp x) (pow (cos x) 1/2))> |
#<alt (log (fmod (exp x) (pow (cos x) 1/2)))> |
| Outputs |
|---|
#<alt (fmod x 1)> |
#<alt (+ (* -1 (* x (fmod x 1))) (fmod x 1))> |
#<alt (+ (* x (+ (* -1 (fmod x 1)) (* 1/2 (* x (fmod x 1))))) (fmod x 1))> |
#<alt (+ (* x (+ (* -1 (fmod x 1)) (* x (+ (* -1/6 (* x (fmod x 1))) (* 1/2 (fmod x 1)))))) (fmod x 1))> |
#<alt (* (exp (neg x)) (fmod x 1))> |
#<alt (* (exp (neg x)) (fmod x 1))> |
#<alt (* (exp (neg x)) (fmod x 1))> |
#<alt (* (exp (neg x)) (fmod x 1))> |
#<alt (* (exp (* -1 x)) (fmod x 1))> |
#<alt (* (exp (* -1 x)) (fmod x 1))> |
#<alt (* (exp (* -1 x)) (fmod x 1))> |
#<alt (* (exp (* -1 x)) (fmod x 1))> |
#<alt (fmod x 1)> |
#<alt (fmod x 1)> |
#<alt (fmod x 1)> |
#<alt (fmod x 1)> |
#<alt (fmod x 1)> |
#<alt (fmod x 1)> |
#<alt (fmod x 1)> |
#<alt (fmod x 1)> |
#<alt (fmod x 1)> |
#<alt (fmod x 1)> |
#<alt (fmod x 1)> |
#<alt (fmod x 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 (+ 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)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))> |
#<alt (* 1/2 (* (pow x 2) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (+ (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (+ (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) (pow x 2)))))> |
#<alt (* 1/2 (* (pow x 2) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))))> |
#<alt (* (pow x 2) (+ (* -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))))> |
#<alt (* (pow x 2) (+ (* -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))))> |
#<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 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 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)> |
#<alt (+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))> |
#<alt (+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))> |
#<alt (+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)) (* x (+ (* -1/6 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))> |
#<alt (* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1))> |
#<alt (* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1))> |
#<alt (* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1))> |
#<alt (* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1))> |
#<alt (* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1))> |
#<alt (* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1))> |
#<alt (* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1))> |
#<alt (* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)> |
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1)> |
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1)> |
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1)> |
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1)> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1)> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1)> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1)> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 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 (* 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 x> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))> |
#<alt (* 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)))))> |
#<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)) x)) 1/6)))> |
#<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 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))> |
#<alt (+ (* -1 (/ (* x (log (E))) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (/ 1 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/2 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))))) (/ (log (E)) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))) (/ 1 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (* (log (E)) (+ (* -1 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/2 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))))) (+ (* -1/2 (/ (pow (log (E)) 3) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/6 (/ (pow (log (E)) 3) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))))))) (+ (* -1 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/2 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))))) (/ (log (E)) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))) (/ 1 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))> |
#<alt (/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))))> |
#<alt (/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))))> |
#<alt (/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))))> |
#<alt (/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))))> |
#<alt (/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))))> |
#<alt (/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))))> |
#<alt (/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))))> |
#<alt (/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))))> |
#<alt (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))> |
#<alt (+ (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (* x (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (log (E)))))> |
#<alt (+ (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (* x (+ (* 1/2 (* x (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (pow (log (E)) 2)))) (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (log (E))))))> |
#<alt (+ (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (* x (+ (* x (+ (* 1/6 (* x (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (pow (log (E)) 3)))) (* 1/2 (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (pow (log (E)) 2))))) (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (log (E))))))> |
#<alt (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))> |
#<alt (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))> |
#<alt (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))> |
#<alt (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))> |
#<alt (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))> |
#<alt (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))> |
#<alt (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))> |
#<alt (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/6 x)))> |
#<alt (* x (+ 1/2 (* 1/6 x)))> |
#<alt (* 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))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 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))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 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 (log (fmod (exp x) (sqrt (cos x))))> |
#<alt (log (fmod (exp x) (sqrt (cos x))))> |
#<alt (log (fmod (exp x) (sqrt (cos x))))> |
#<alt (log (fmod (exp x) (sqrt (cos x))))> |
#<alt (log (fmod (exp x) (sqrt (cos x))))> |
#<alt (log (fmod (exp x) (sqrt (cos x))))> |
#<alt (log (fmod (exp x) (sqrt (cos x))))> |
#<alt (log (fmod (exp x) (sqrt (cos x))))> |
#<alt (log (fmod (exp x) (sqrt (cos x))))> |
#<alt (log (fmod (exp x) (sqrt (cos x))))> |
#<alt (log (fmod (exp x) (sqrt (cos x))))> |
#<alt (log (fmod (exp x) (sqrt (cos x))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 58.0ms | x | @ | -inf | (log (fmod (exp x) (pow (cos x) 1/2))) |
| 47.0ms | x | @ | 0 | (log (fmod (exp x) (pow (cos x) 1/2))) |
| 36.0ms | x | @ | inf | (log (fmod (exp x) (pow (cos x) 1/2))) |
| 17.0ms | x | @ | -inf | (* (fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1) (- 1 (- x (* 1/2 (* x x))))) |
| 1.0ms | x | @ | 0 | (/ 1 (pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2)))))) |
| 1× | batch-egg-rewrite |
| 4 334× | accelerator-lowering-fma.f32 |
| 4 334× | accelerator-lowering-fma.f64 |
| 4 240× | *-lowering-*.f32 |
| 4 240× | *-lowering-*.f64 |
| 3 242× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 179 |
| 1 | 214 | 177 |
| 2 | 1766 | 177 |
| 0 | 8412 | 157 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (fmod x 1) (exp (neg x))) |
(fmod x 1) |
(exp (neg x)) |
(neg x) |
(fmod 1 1) |
(* (fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1) (- 1 (- x (* 1/2 (* x x))))) |
(fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1) |
(+ 1 (* x (+ 1 (* x 1/2)))) |
(* x (+ 1 (* x 1/2))) |
(* (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) 1) (exp (neg x))) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) 1) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) |
(* x (+ 1 (* x (+ 1/2 (* x 1/6))))) |
(pow (cos x) 1/2) |
(/ 1 (pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2)))))) |
(pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2))))) |
(E) |
(* 1/2 (* x x)) |
(* x 1/6) |
(* x (+ 1/2 (* x 1/6))) |
(fmod (exp x) (pow (cos x) 1/2)) |
(log (fmod (exp x) (pow (cos x) 1/2))) |
| Outputs |
|---|
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (*.f64 (fmod.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 x #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 (neg.f64 (fmod.f64 x #s(literal 1 binary64))) (neg.f64 (exp.f64 x))) |
(/.f64 (neg.f64 (*.f64 (fmod.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (exp.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 x #s(literal 1 binary64)))) (neg.f64 (exp.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))) |
(*.f64 (fmod.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2/3 binary64) x))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (/.f64 (fmod.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal 2/3 binary64) x))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(fmod.f64 x #s(literal 1 binary64)) |
(exp.f64 (-.f64 #s(literal 0 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)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (E.f64) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) x)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(neg.f64 x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(+.f64 (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) x) |
(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
| 1× | egg-herbie |
| 13 506× | accelerator-lowering-fma.f32 |
| 13 506× | accelerator-lowering-fma.f64 |
| 3 636× | *-lowering-*.f32 |
| 3 636× | *-lowering-*.f64 |
| 2 746× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 239 | 2646 |
| 1 | 756 | 2378 |
| 2 | 1922 | 2105 |
| 3 | 4411 | 2077 |
| 0 | 8535 | 1848 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod x 1) |
(+ (* -1 (* x (fmod x 1))) (fmod x 1)) |
(+ (* x (+ (* -1 (fmod x 1)) (* 1/2 (* x (fmod x 1))))) (fmod x 1)) |
(+ (* x (+ (* -1 (fmod x 1)) (* x (+ (* -1/6 (* x (fmod x 1))) (* 1/2 (fmod x 1)))))) (fmod x 1)) |
(* (exp (neg x)) (fmod x 1)) |
(* (exp (neg x)) (fmod x 1)) |
(* (exp (neg x)) (fmod x 1)) |
(* (exp (neg x)) (fmod x 1)) |
(* (exp (* -1 x)) (fmod x 1)) |
(* (exp (* -1 x)) (fmod x 1)) |
(* (exp (* -1 x)) (fmod x 1)) |
(* (exp (* -1 x)) (fmod x 1)) |
(fmod x 1) |
(fmod x 1) |
(fmod x 1) |
(fmod x 1) |
(fmod x 1) |
(fmod x 1) |
(fmod x 1) |
(fmod x 1) |
(fmod x 1) |
(fmod x 1) |
(fmod x 1) |
(fmod x 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 (+ 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)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) |
(* 1/2 (* (pow x 2) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1))) |
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)))) |
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (+ (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) (pow x 2))))) |
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (+ (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) (pow x 2))))) |
(* 1/2 (* (pow x 2) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))) |
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)))) |
(* (pow x 2) (+ (* -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)))) |
(* (pow x 2) (+ (* -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)))) |
(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))))) |
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))) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1) |
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)) |
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)) |
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)) (* x (+ (* -1/6 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)) |
(* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1)) |
(* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1)) |
(* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1)) |
(* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1)) |
(* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1)) |
(* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1)) |
(* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1)) |
(* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1)) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1) |
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1) |
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1) |
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1) |
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1) |
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1) |
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1) |
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1) |
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1) |
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))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* 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))))) |
(* 1/6 (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)) x)) 1/6))) |
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 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))) |
(+ (* -1 (/ (* x (log (E))) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (/ 1 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/2 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))))) (/ (log (E)) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))) (/ 1 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (* (log (E)) (+ (* -1 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/2 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))))) (+ (* -1/2 (/ (pow (log (E)) 3) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/6 (/ (pow (log (E)) 3) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))))))) (+ (* -1 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/2 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))))) (/ (log (E)) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))) (/ 1 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) |
(/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))) |
(/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))) |
(/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))) |
(/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))) |
(/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))) |
(/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))) |
(/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))) |
(/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))) |
(exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) |
(+ (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (* x (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (log (E))))) |
(+ (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (* x (+ (* 1/2 (* x (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (pow (log (E)) 2)))) (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (log (E)))))) |
(+ (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (* x (+ (* x (+ (* 1/6 (* x (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (pow (log (E)) 3)))) (* 1/2 (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (pow (log (E)) 2))))) (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (log (E)))))) |
(exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))) |
(exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))) |
(exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))) |
(exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))) |
(exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))) |
(exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))) |
(exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))) |
(exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/6 x))) |
(* x (+ 1/2 (* 1/6 x))) |
(* 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)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 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))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
| Outputs |
|---|
(fmod x 1) |
(fmod.f64 x #s(literal 1 binary64)) |
(+ (* -1 (* x (fmod x 1))) (fmod x 1)) |
(*.f64 (fmod.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+ (* x (+ (* -1 (fmod x 1)) (* 1/2 (* x (fmod x 1))))) (fmod x 1)) |
(*.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(+ (* x (+ (* -1 (fmod x 1)) (* x (+ (* -1/6 (* x (fmod x 1))) (* 1/2 (fmod x 1)))))) (fmod x 1)) |
(+.f64 (fmod.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
(* (exp (neg x)) (fmod x 1)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(* (exp (neg x)) (fmod x 1)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(* (exp (neg x)) (fmod x 1)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(* (exp (neg x)) (fmod x 1)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod x 1)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod x 1)) |
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(fmod x 1) |
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(fmod x 1) |
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(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
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(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
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(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
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(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1) |
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(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) |
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(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) |
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(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) |
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(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) |
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(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) |
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(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) |
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1 |
#s(literal 1 binary64) |
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(* (pow x 2) (+ 1/2 (/ 1 x))) |
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x |
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(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) |
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) |
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) |
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) |
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) |
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(*.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)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(*.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)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(*.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)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 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 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (/ (* x (log (E))) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (/ 1 (exp (* -1 (* (log (E)) (log (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 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/2 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))))) (/ (log (E)) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))) (/ 1 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) |
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (* (log (E)) (+ (* -1 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/2 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))))) (+ (* -1/2 (/ (pow (log (E)) 3) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/6 (/ (pow (log (E)) 3) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))))))) (+ (* -1 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/2 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))))) (/ (log (E)) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))) (/ 1 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) |
(+.f64 (*.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))))) |
(/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) |
(/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (* x (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (log (E))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(+ (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (* x (+ (* 1/2 (* x (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (pow (log (E)) 2)))) (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (log (E)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(+ (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (* x (+ (* x (+ (* 1/6 (* x (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (pow (log (E)) 3)))) (* 1/2 (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (pow (log (E)) 2))))) (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (log (E)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))) |
(exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))) |
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))) |
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))) |
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))) |
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))) |
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))) |
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))) |
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))) |
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/6 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* x (+ 1/2 (* 1/6 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* x (+ 1/2 (* 1/6 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(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))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(log (fmod (exp x) (sqrt (cos x)))) |
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
Compiled 19 631 to 2 156 computations (89% saved)
26 alts after pruning (22 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 774 | 13 | 787 |
| Fresh | 2 | 9 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 779 | 26 | 805 |
| Status | Accuracy | Program |
|---|---|---|
| 5.8% | (pow.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))) | |
| 25.2% | (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| 13.9% | (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) | |
| 62.1% | (fmod.f64 x #s(literal 1 binary64)) | |
| ✓ | 24.8% | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 5.6% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) | |
| 5.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) | |
| 5.7% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (E.f64) x)) | |
| ✓ | 5.8% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| 5.0% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) | |
| ✓ | 5.4% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| 63.2% | (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) | |
| 39.9% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))) | |
| 5.8% | (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))) | |
| 5.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))))))) | |
| 5.8% | (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) | |
| 5.2% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) | |
| 9.0% | (*.f64 (fmod.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) | |
| 7.4% | (*.f64 (fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) | |
| 13.6% | (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) | |
| 11.7% | (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) | |
| 11.0% | (*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) | |
| 48.8% | (*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) | |
| 50.8% | (*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) | |
| 13.5% | (*.f64 (fmod.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) | |
| ✓ | 63.2% | (*.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 1 224 to 453 computations (63% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 x #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)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (+.f64 x #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) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 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) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod.f64 x (sqrt.f64 (cos.f64 x))) |
(/.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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))))))) |
(/.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 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (E.f64) x)) |
(/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(pow.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
2 calls:
| 14.0ms | x |
| 12.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | x |
| 63.2% | 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)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 x #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)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (+.f64 x #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) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 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) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod.f64 x (sqrt.f64 (cos.f64 x))) |
(/.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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))))))) |
(/.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 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (E.f64) x)) |
(/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(pow.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))) |
| Outputs |
|---|
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
1 calls:
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 x #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)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (+.f64 x #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) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 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) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| Outputs |
|---|
(fmod.f64 x #s(literal 1 binary64)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.1% | 1 | x |
Compiled 2 to 1 computations (50% 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)) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | -5.573140139323997e-309 | 3.6350053006267004e-306 |
| 48.0ms | 128× | 2 | valid |
Compiled 342 to 212 computations (38% saved)
ival-exp: 19.0ms (45.2% of total)ival-fmod: 11.0ms (26.2% of total)adjust: 3.0ms (7.1% of total)ival-cos: 3.0ms (7.1% of total)ival-sqrt: 3.0ms (7.1% of total)ival-mult: 2.0ms (4.8% of total)ival-neg: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | -2.8813321676098095e-101 | -3.8911784104636065e-108 |
| 39.0ms | 144× | 1 | valid |
Compiled 347 to 228 computations (34.3% saved)
ival-sqrt: 13.0ms (40.9% of total)ival-exp: 7.0ms (22% of total)ival-fmod: 6.0ms (18.9% of total)adjust: 2.0ms (6.3% of total)ival-cos: 2.0ms (6.3% of total)ival-mult: 1.0ms (3.1% of total)ival-neg: 1.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 14× | +-commutative_binary64 |
| 10× | *-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 90 |
| 1 | 56 | 90 |
| 2 | 61 | 90 |
| 3 | 64 | 90 |
| 4 | 65 | 90 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))) |
(if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))) |
(if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))) |
(if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 19 906× | accelerator-lowering-fma.f32 |
| 19 906× | accelerator-lowering-fma.f64 |
| 16 466× | accelerator-lowering-fma.f32 |
| 16 466× | accelerator-lowering-fma.f64 |
| 13 506× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 179 |
| 1 | 214 | 177 |
| 2 | 1766 | 177 |
| 0 | 8412 | 157 |
| 0 | 19 | 85 |
| 1 | 72 | 83 |
| 2 | 298 | 83 |
| 3 | 1791 | 83 |
| 0 | 8427 | 83 |
| 0 | 149 | 1405 |
| 1 | 416 | 1346 |
| 2 | 1067 | 1261 |
| 3 | 4067 | 1243 |
| 0 | 8521 | 1197 |
| 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 | 239 | 2646 |
| 1 | 756 | 2378 |
| 2 | 1922 | 2105 |
| 3 | 4411 | 2077 |
| 0 | 8535 | 1848 |
| 0 | 231 | 1551 |
| 1 | 625 | 1408 |
| 2 | 1646 | 1336 |
| 3 | 4605 | 1322 |
| 0 | 8264 | 1247 |
| 0 | 8 | 23 |
| 1 | 17 | 22 |
| 2 | 56 | 22 |
| 3 | 249 | 22 |
| 0 | 1987 | 22 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 312 to 203 computations (34.9% saved)
Compiled 206 to 98 computations (52.4% saved)
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