
Time bar (total: 21.6s)
| 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 9 computations (25% saved)
ival-fmod: 43.0ms (34.3% of total)ival-exp: 27.0ms (21.5% of total)ival-cos: 15.0ms (12% of total)ival-mult: 14.0ms (11.2% of total)ival-sqrt: 14.0ms (11.2% of total)ival-neg: 10.0ms (8% of total)const: 1.0ms (0.8% of total)backward-pass: 1.0ms (0.8% of total)| 3.7s | 1561× | 5 | exit |
| 1.5s | 4904× | 1 | valid |
| 667.0ms | 1324× | 2 | valid |
| 386.0ms | 3221× | 0 | invalid |
| 311.0ms | 2028× | 0 | valid |
ival-cos: 3.2s (54.8% of total)ival-exp: 906.0ms (15.6% of total)ival-fmod: 825.0ms (14.2% of total)backward-pass: 327.0ms (5.6% of total)ival-sqrt: 302.0ms (5.2% of total)ival-mult: 156.0ms (2.7% of total)ival-neg: 102.0ms (1.8% of total)const: 13.0ms (0.2% of total)| 2× | egg-herbie |
| 148× | fma-define |
| 114× | sum3-define |
| 92× | fmsub-define |
| 70× | fnmadd-define |
| 44× | fnmsub-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 31 |
| 1 | 35 | 31 |
| 2 | 80 | 30 |
| 3 | 141 | 30 |
| 4 | 225 | 30 |
| 5 | 296 | 30 |
| 6 | 330 | 30 |
| 7 | 368 | 30 |
| 8 | 490 | 30 |
| 9 | 516 | 30 |
| 10 | 517 | 30 |
| 0 | 8 | 10 |
| 1 | 15 | 10 |
| 2 | 26 | 9 |
| 3 | 32 | 9 |
| 4 | 41 | 9 |
| 5 | 47 | 9 |
| 6 | 55 | 9 |
| 7 | 64 | 9 |
| 8 | 65 | 9 |
| 0 | 65 | 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 (recip (exp x)) (sqrt (cos x))) (exp x)) |
(neg (* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x))))) |
(* (fmod (recip (exp x)) (sqrt (cos x))) (neg (exp x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 190 | 0 | - | 190 | (2.5101719147011633e-168) | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 2 | 0 | - | 0 | - | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (cos.f64 x)) |
| 424.0ms | 116× | 5 | exit |
| 102.0ms | 290× | 1 | valid |
| 46.0ms | 80× | 2 | valid |
| 4.0ms | 26× | 0 | valid |
Compiled 73 to 26 computations (64.4% saved)
ival-cos: 303.0ms (67.5% of total)ival-exp: 39.0ms (8.7% of total)ival-fmod: 39.0ms (8.7% of total)backward-pass: 32.0ms (7.1% of total)ival-sqrt: 18.0ms (4% of total)ival-mult: 12.0ms (2.7% of total)ival-neg: 5.0ms (1.1% of total)const: 1.0ms (0.2% of total)Compiled 10 to 6 computations (40% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (cos.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| 2× | fmod-lowering-fmod.f32 |
| 2× | cos-lowering-cos.f32 |
| 2× | sqrt-lowering-sqrt.f64 |
| 2× | exp-lowering-exp.f32 |
| 2× | fmod-lowering-fmod.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 23 |
| 0 | 6 | 23 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
x |
(sqrt (cos x)) |
(cos x) |
| Outputs |
|---|
(/ (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) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (cos.f64 x)) |
| ✓ | accuracy | 99.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| ✓ | accuracy | 29.6% | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 193.0ms | 58× | 5 | exit |
| 43.0ms | 145× | 1 | valid |
| 22.0ms | 40× | 2 | valid |
| 2.0ms | 13× | 0 | valid |
Compiled 25 to 7 computations (72% saved)
ival-cos: 152.0ms (70.6% of total)ival-fmod: 21.0ms (9.8% of total)ival-exp: 16.0ms (7.4% of total)backward-pass: 11.0ms (5.1% of total)ival-sqrt: 9.0ms (4.2% of total)ival-div: 5.0ms (2.3% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp 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 (* 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 (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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
| 1.0ms | x | @ | 0 | (/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
| 1.0ms | x | @ | inf | (/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
| 0.0ms | x | @ | 0 | (sqrt (cos x)) |
| 0.0ms | x | @ | inf | (sqrt (cos x)) |
| 1× | batch-egg-rewrite |
| 562× | *-lowering-*.f32 |
| 562× | *-lowering-*.f64 |
| 476× | /-lowering-/.f32 |
| 476× | /-lowering-/.f64 |
| 142× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 22 |
| 1 | 16 | 22 |
| 2 | 63 | 22 |
| 3 | 255 | 22 |
| 0 | 1335 | 22 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(sqrt (cos x)) |
(cos x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 0 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))) |
(exp.f64 (*.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 #s(literal 0 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)))) |
(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)))) |
(/.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 (-.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 #s(literal 1 binary64) (/.f64 (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 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 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 #s(literal -1 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))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (exp.f64 (+.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (exp.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (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) (exp.f64 x)) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (exp.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 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 0 binary64) (exp.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 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) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (*.f64 (exp.f64 x) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.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) (pow.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 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.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))) (/.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 #s(literal 0 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) (*.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))) (/.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 (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 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.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) (exp.f64 x))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1 binary64)) |
(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)) |
(pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (-.f64 x (log.f64 (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 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #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)))) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(*.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 (/.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 -1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (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))) |
(*.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 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (/.f64 (exp.f64 (*.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)))))) |
(*.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 (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)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.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)))))) |
(*.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 #s(literal 1 binary64) (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (/.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 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))) |
(*.f64 (/.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 (+.f64 x x)))) (exp.f64 x)) |
(+.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.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))) |
(-.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 (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)) |
(/.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 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 2 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)) |
(*.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)) |
(*.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) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1/2 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 -1/2 binary64))) |
(+.f64 (exp.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (exp.f64 x)) |
(exp.f64 x) |
(exp.f64 (neg.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (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 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) |
(/.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 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal 3 binary64))) (exp.f64 (+.f64 x x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (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))) |
(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) |
| 1× | egg-herbie |
| 2250× | --lowering--.f32 |
| 2250× | --lowering--.f64 |
| 2058× | *-lowering-*.f32 |
| 2058× | *-lowering-*.f64 |
| 1860× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 395 |
| 1 | 228 | 360 |
| 2 | 769 | 347 |
| 3 | 3498 | 334 |
| 0 | 8360 | 334 |
| 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 (* 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))) |
(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 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) 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)))) |
(+.f64 (*.f64 (*.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 x x)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) 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))) |
(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 #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 (*.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 x (*.f64 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 (*.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 3350 to 464 computations (86.1% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 209 | 13 | 222 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 210 | 13 | 223 |
| Status | Accuracy | Program |
|---|---|---|
| 4.5% | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| ▶ | 6.2% | (/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| ▶ | 27.5% | (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| 16.9% | (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) | |
| ▶ | 6.2% | (/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (exp.f64 x)) |
| 6.1% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))))) (exp.f64 x)) | |
| 6.0% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) | |
| 6.2% | (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 x)) | |
| 6.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))) | |
| ▶ | 5.0% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 5.7% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| 26.1% | (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) | |
| 6.2% | (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
Compiled 388 to 254 computations (34.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| ✓ | cost-diff | 192 | (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) |
| ✓ | cost-diff | 6656 | (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (cos.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.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)))))))) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (+.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))))))))) |
| ✓ | cost-diff | 0 | (/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (exp.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 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 | 0 | (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| 2378× | fma-define |
| 1940× | fma-lowering-fma.f32 |
| 1940× | fma-lowering-fma.f64 |
| 1498× | fnmadd-define |
| 1362× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 243 |
| 1 | 71 | 217 |
| 2 | 190 | 217 |
| 3 | 494 | 213 |
| 4 | 1222 | 213 |
| 5 | 2717 | 213 |
| 6 | 5564 | 213 |
| 0 | 8165 | 213 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (fmod (+ x 1) (sqrt (cos x))) (exp x)) |
(fmod (+ x 1) (sqrt (cos x))) |
(+ x 1) |
x |
1 |
(sqrt (cos x)) |
(cos x) |
(exp x) |
(/ (fmod (exp x) 1) (exp x)) |
(fmod (exp x) 1) |
(exp x) |
x |
1 |
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x)) |
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) |
(exp x) |
x |
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))) |
1 |
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))) |
(* x x) |
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))) |
-1/4 |
(* x (* x (+ -1/96 (* (* x x) -19/5760)))) |
(* x (+ -1/96 (* (* x x) -19/5760))) |
(+ -1/96 (* (* x x) -19/5760)) |
-1/96 |
(* (* x x) -19/5760) |
-19/5760 |
(/ (fmod (exp x) (sqrt (cos x))) (+ x 1)) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
x |
(sqrt (cos x)) |
(cos x) |
(+ x 1) |
1 |
(/ (fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x))) (exp x)) |
(fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x))) |
(/ (neg (- 0 (exp (+ x x)))) (exp x)) |
(neg (- 0 (exp (+ x x)))) |
(- 0 (exp (+ x x))) |
0 |
(exp (+ x x)) |
(+ x x) |
x |
(exp x) |
(sqrt (cos x)) |
(cos x) |
| Outputs |
|---|
(/ (fmod (+ x 1) (sqrt (cos x))) (exp 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 x) |
(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) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
x |
1 |
#s(literal 1 binary64) |
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (exp.f64 x)) |
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) |
(fmod.f64 (exp.f64 x) (+.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))))))))) |
(exp x) |
(exp.f64 x) |
x |
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))) |
(+.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)))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))) |
(*.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))))))) |
(* x x) |
(*.f64 x x) |
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))) |
(+.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)))))) |
-1/4 |
#s(literal -1/4 binary64) |
(* x (* x (+ -1/96 (* (* x x) -19/5760)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))) |
(* x (+ -1/96 (* (* x x) -19/5760))) |
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
(+ -1/96 (* (* x x) -19/5760)) |
(+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) |
-1/96 |
#s(literal -1/96 binary64) |
(* (* x x) -19/5760) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
-19/5760 |
#s(literal -19/5760 binary64) |
(/ (fmod (exp x) (sqrt (cos x))) (+ x 1)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64))) |
(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) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ (fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(/ (neg (- 0 (exp (+ x x)))) (exp x)) |
(exp.f64 x) |
(neg (- 0 (exp (+ x x)))) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(- 0 (exp (+ x x))) |
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) |
0 |
#s(literal 0 binary64) |
(exp (+ x x)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(+ x x) |
(*.f64 x #s(literal 2 binary64)) |
x |
(exp x) |
(exp.f64 x) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 (cos.f64 x)) |
| ✓ | accuracy | 99.2% | (/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| ✓ | accuracy | 99.2% | (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) |
| ✓ | accuracy | 29.6% | (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (cos.f64 x)) |
| ✓ | accuracy | 100.0% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 29.6% | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
| ✓ | accuracy | 99.2% | (/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (exp.f64 x)) |
| ✓ | accuracy | 29.7% | (fmod.f64 (exp.f64 x) (+.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))))))))) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 99.2% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| ✓ | accuracy | 29.6% | (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 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| ✓ | accuracy | 29.6% | (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
| 235.0ms | 80× | 2 | valid |
| 194.0ms | 105× | 1 | valid |
| 37.0ms | 13× | 0 | valid |
| 31.0ms | 56× | 0 | unsamplable |
| 10.0ms | 2× | 5 | exit |
Compiled 282 to 34 computations (87.9% saved)
ival-fmod: 114.0ms (41.3% of total)ival-exp: 36.0ms (13% of total)backward-pass: 29.0ms (10.5% of total)ival-div: 23.0ms (8.3% of total)...c/correct-round.rkt:119:19: 20.0ms (7.2% of total)ival-mult: 17.0ms (6.2% of total)ival-add: 15.0ms (5.4% of total)ival-cos: 11.0ms (4% of total)ival-sqrt: 4.0ms (1.4% of total)ival-neg: 3.0ms (1.1% of total)ival-sub: 3.0ms (1.1% of total)const: 1.0ms (0.4% of total)| Inputs |
|---|
#<alt (/ (fmod (+ x 1) (sqrt (cos x))) (exp x))> |
#<alt (fmod (+ x 1) (sqrt (cos x)))> |
#<alt (+ x 1)> |
#<alt (sqrt (cos x))> |
#<alt (/ (fmod (exp x) 1) (exp x))> |
#<alt (fmod (exp x) 1)> |
#<alt (exp x)> |
#<alt (/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x))> |
#<alt (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))> |
#<alt (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (+ x 1))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (/ (neg (- 0 (exp (+ x x)))) (exp x))> |
#<alt (neg (- 0 (exp (+ x x))))> |
#<alt (/ (fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x))) (exp x))> |
#<alt (fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x)))> |
#<alt (cos x)> |
#<alt (* x (+ -1/96 (* (* x x) -19/5760)))> |
#<alt (* (* x x) -19/5760)> |
| 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 (* x (+ (* -1 (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))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/6 (fmod (+ 1 x) (sqrt (cos x)))))))) (+ (* -1 (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))))> |
#<alt (/ (fmod (+ 1 x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (+ 1 x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (+ 1 x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (+ 1 x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp 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 (* 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 (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 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))> |
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))> |
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))> |
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))> |
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))> |
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))> |
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))> |
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))> |
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))> |
#<alt (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x))> |
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))> |
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))> |
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))> |
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))> |
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (* -19/5760 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))> |
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (* -19/5760 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))> |
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (- (* x (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* -1 (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))) x)> |
#<alt (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)> |
#<alt (/ (- (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)) (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) x)> |
#<alt (/ (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (/ (fmod (exp x) (sqrt (cos x))) x))) x)> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) x)> |
#<alt (* -1 (/ (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) 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 (* 2 x)) (exp x))> |
#<alt (/ (exp (* 2 x)) (exp x))> |
#<alt (/ (exp (* 2 x)) (exp x))> |
#<alt (/ (exp (* 2 x)) (exp x))> |
#<alt (/ (exp (neg (* -2 x))) (exp x))> |
#<alt (/ (exp (neg (* -2 x))) (exp x))> |
#<alt (/ (exp (neg (* -2 x))) (exp x))> |
#<alt (/ (exp (neg (* -2 x))) (exp x))> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 (* 2 x))))> |
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))> |
#<alt (exp (* 2 x))> |
#<alt (exp (* 2 x))> |
#<alt (exp (* 2 x))> |
#<alt (exp (* 2 x))> |
#<alt (exp (neg (* -2 x)))> |
#<alt (exp (neg (* -2 x)))> |
#<alt (exp (neg (* -2 x)))> |
#<alt (exp (neg (* -2 x)))> |
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))))) (+ (* -1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/6 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))))))) (+ (* -1 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))> |
#<alt (/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x))> |
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))> |
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))> |
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))> |
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))> |
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))> |
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))> |
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))> |
#<alt (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))> |
#<alt (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x)))> |
#<alt (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x)))> |
#<alt (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x)))> |
#<alt (fmod (/ (exp (neg (* -2 x))) (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 (* -1/96 x)> |
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))> |
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))> |
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))> |
#<alt (* -19/5760 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -19/5760 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/ (fmod (exp x) 1) (exp x)) |
| 2.0ms | x | @ | inf | (/ (fmod (exp x) (sqrt (cos x))) (+ x 1)) |
| 1.0ms | x | @ | 0 | (/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x)) |
| 1.0ms | x | @ | inf | (/ (fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x))) (exp x)) |
| 1.0ms | x | @ | inf | (+ x 1) |
| 1× | batch-egg-rewrite |
| 3014× | *-lowering-*.f32 |
| 3014× | *-lowering-*.f64 |
| 2704× | /-lowering-/.f32 |
| 2704× | /-lowering-/.f64 |
| 1644× | frac-times |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 149 |
| 1 | 176 | 136 |
| 2 | 1352 | 117 |
| 0 | 9289 | 117 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (fmod (+ x 1) (sqrt (cos x))) (exp x)) |
(fmod (+ x 1) (sqrt (cos x))) |
(+ x 1) |
(sqrt (cos x)) |
(/ (fmod (exp x) 1) (exp x)) |
(fmod (exp x) 1) |
(exp x) |
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp x)) |
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) |
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))) |
(/ (fmod (exp x) (sqrt (cos x))) (+ x 1)) |
(fmod (exp x) (sqrt (cos x))) |
(/ (neg (- 0 (exp (+ x x)))) (exp x)) |
(neg (- 0 (exp (+ x x)))) |
(/ (fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x))) (exp x)) |
(fmod (/ (neg (- 0 (exp (+ x x)))) (exp x)) (sqrt (cos x))) |
(cos x) |
(* x (+ -1/96 (* (* x x) -19/5760))) |
(* (* x x) -19/5760) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (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) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.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 1 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 #s(literal 1 binary64) (neg.f64 (neg.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 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (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) (neg.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 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (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) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 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))) #s(literal 1 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 (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 1 binary64) (neg.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 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(-.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))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) 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) (-.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) 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 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #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))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)))) |
(*.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(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))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))))))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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))))))))))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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))))))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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))))))))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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))))))))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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))))))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) #s(literal 1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x (-.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 361/33177600 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))) (*.f64 (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 (-.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 361/33177600 binary64))) x))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/884736 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64))))) (+.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))) (-.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64))))) (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 361/33177600 binary64)))) (-.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64)))) x) (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 361/33177600 binary64))) x) (-.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/884736 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64)))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))) (neg.f64 (-.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 361/33177600 binary64))))) (neg.f64 (-.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64)))) x)) (neg.f64 (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 361/33177600 binary64))) x)) (neg.f64 (-.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/884736 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x #s(literal -1/96 binary64)))))) |
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
(*.f64 (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) x) |
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/884736 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x #s(literal -1/96 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 361/33177600 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))) |
(*.f64 (*.f64 (+.f64 #s(literal -1/884736 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 361/33177600 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))) |
(*.f64 x (*.f64 x #s(literal -19/5760 binary64))) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -19/5760 binary64)) x) |
| 1× | egg-herbie |
| 3044× | *-lowering-*.f32 |
| 3044× | *-lowering-*.f64 |
| 1830× | +-lowering-+.f64 |
| 1830× | +-lowering-+.f32 |
| 1562× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 262 | 2504 |
| 1 | 865 | 2169 |
| 2 | 3071 | 2092 |
| 0 | 9697 | 2092 |
| 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 (* x (+ (* -1 (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)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/6 (fmod (+ 1 x) (sqrt (cos x)))))))) (+ (* -1 (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)))) |
(/ (fmod (+ 1 x) (sqrt (cos x))) (exp x)) |
(/ (fmod (+ 1 x) (sqrt (cos x))) (exp x)) |
(/ (fmod (+ 1 x) (sqrt (cos x))) (exp x)) |
(/ (fmod (+ 1 x) (sqrt (cos x))) (exp x)) |
(/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x)) |
(/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x)) |
(/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x)) |
(/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp 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 (* 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 (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 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x)) |
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x)) |
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x)) |
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x)) |
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x)) |
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x)) |
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x)) |
(/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (exp x)) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(* -19/5760 (pow x 6)) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760)) |
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2))))))) |
(* -19/5760 (pow x 6)) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760)) |
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2))))))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (- (* x (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(/ (fmod (exp x) (sqrt (cos x))) x) |
(/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x) |
(/ (- (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)) (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) x) |
(/ (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (/ (fmod (exp x) (sqrt (cos x))) x))) x) |
(/ (fmod (exp x) (sqrt (cos x))) x) |
(* -1 (/ (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) x)) |
(* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(/ (exp (* 2 x)) (exp x)) |
(/ (exp (* 2 x)) (exp x)) |
(/ (exp (* 2 x)) (exp x)) |
(/ (exp (* 2 x)) (exp x)) |
(/ (exp (neg (* -2 x))) (exp x)) |
(/ (exp (neg (* -2 x))) (exp x)) |
(/ (exp (neg (* -2 x))) (exp x)) |
(/ (exp (neg (* -2 x))) (exp x)) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))) |
(exp (* 2 x)) |
(exp (* 2 x)) |
(exp (* 2 x)) |
(exp (* 2 x)) |
(exp (neg (* -2 x))) |
(exp (neg (* -2 x))) |
(exp (neg (* -2 x))) |
(exp (neg (* -2 x))) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))))) (+ (* -1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/6 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))))))) (+ (* -1 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) |
(/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x)) |
(/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x)) |
(/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x)) |
(/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x)) |
(/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x)) |
(/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x)) |
(/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x)) |
(/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x)) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) |
(fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) |
(fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) |
(fmod (/ (exp (neg (* -2 x))) (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) |
(* -1/96 x) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(* -19/5760 (pow x 3)) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -19/5760 (pow x 3)) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
| 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 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (- (* -1 (* x (+ (* -1 (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)))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/6 (fmod (+ 1 x) (sqrt (cos x)))))))) (+ (* -1 (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)))) |
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))) #s(literal 0 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))) |
(/ (fmod (+ 1 x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (+ 1 x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (+ 1 x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (+ 1 x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (- 1 (* -1 x)) (sqrt (cos x))) (exp 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 (*.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 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)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1)) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1)) |
(+.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) #s(literal 1 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 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 0 binary64))))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod (exp x) 1) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(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) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod.f64 (exp.f64 x) (+.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))))))))) |
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.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)))))))))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (+.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)))))))))) (fmod.f64 (exp.f64 x) (+.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))))))))))) (fmod.f64 (exp.f64 x) (+.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)))))))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) |
(+ 1 (* x (+ 2 (* 2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4/3 binary64))))))) |
(exp (* 2 x)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(exp (* 2 x)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(exp (* 2 x)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(exp (* 2 x)) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(exp (neg (* -2 x))) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(exp (neg (* -2 x))) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(exp (neg (* -2 x))) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(exp (neg (* -2 x))) |
(exp.f64 (*.f64 x #s(literal 2 binary64))) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))))) (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))))) (+ (* -1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/6 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))))))) (+ (* -1 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) (* 1/2 (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))))) (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x)))) |
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))) #s(literal 0 binary64))))) (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))))) (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x)))) |
(/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) |
(fmod (/ (exp (* 2 x)) (exp x)) (sqrt (cos x))) |
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) |
(fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) |
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) |
(fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) |
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) |
(fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) |
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) |
(fmod (/ (exp (neg (* -2 x))) (exp x)) (sqrt (cos x))) |
(fmod.f64 (exp.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(+ 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 x (*.f64 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) |
(* -1/96 x) |
(*.f64 x #s(literal -1/96 binary64)) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
(* -19/5760 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))) |
(* -19/5760 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
Compiled 15528 to 1383 computations (91.1% saved)
25 alts after pruning (23 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 669 | 20 | 689 |
| Fresh | 5 | 3 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 677 | 25 | 702 |
| Status | Accuracy | Program |
|---|---|---|
| 4.5% | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) | |
| 5.2% | (/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) | |
| 6.0% | (/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (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 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (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)))))) | |
| 27.4% | (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x)) | |
| 13.2% | (/.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)) | |
| 16.9% | (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) | |
| 16.7% | (/.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)) (exp.f64 x)) | |
| 6.1% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x)) | |
| 5.3% | (/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (+.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)))))))) | |
| ▶ | 5.2% | (/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
| ✓ | 6.2% | (/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (exp.f64 x)) |
| ▶ | 5.0% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
| 6.2% | (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 x)) | |
| 1.6% | (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x)) | |
| ▶ | 1.3% | (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))) (exp.f64 x)) |
| 1.2% | (/.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))) (exp.f64 x)) | |
| 6.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))) | |
| 4.8% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) | |
| 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)))))))) | |
| ✓ | 5.7% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| ▶ | 61.1% | (/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| 5.3% | (/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) #s(literal 1 binary64)) | |
| ▶ | 25.9% | (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 5.0% | (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.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)))))))))) |
Compiled 898 to 591 computations (34.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))) (exp.f64 x)) |
| ✓ | cost-diff | 256 | (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 5824 | (pow.f64 x #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (+.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)))))))) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (+.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))))))))) |
| ✓ | cost-diff | 0 | (/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #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 | 0 | (/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| 3698× | *-lowering-*.f32 |
| 3698× | *-lowering-*.f64 |
| 3398× | fma-define |
| 2302× | fma-lowering-fma.f32 |
| 2302× | fma-lowering-fma.f64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 280 |
| 1 | 90 | 255 |
| 2 | 218 | 254 |
| 3 | 566 | 254 |
| 4 | 1287 | 254 |
| 5 | 1989 | 254 |
| 6 | 2309 | 251 |
| 7 | 2936 | 251 |
| 8 | 3959 | 251 |
| 9 | 4513 | 251 |
| 10 | 5052 | 251 |
| 11 | 5932 | 251 |
| 12 | 7190 | 251 |
| 13 | 7582 | 251 |
| 14 | 7831 | 251 |
| 0 | 8295 | 251 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (fmod x (sqrt (cos x))) (exp x)) |
(fmod x (sqrt (cos x))) |
x |
(sqrt (cos x)) |
(cos x) |
(exp x) |
(/ (fmod 1 1) 1) |
(fmod 1 1) |
1 |
(/ (fmod (exp x) (+ 1 (* -1/4 (* x x)))) (+ x 1)) |
(fmod (exp x) (+ 1 (* -1/4 (* x x)))) |
(exp x) |
x |
(+ 1 (* -1/4 (* x x))) |
1 |
(* -1/4 (* x x)) |
-1/4 |
(* x x) |
(+ x 1) |
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2))))) |
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) |
(exp x) |
x |
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))) |
1 |
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))) |
(* x x) |
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))) |
-1/4 |
(* x (* x (+ -1/96 (* (* x x) -19/5760)))) |
(* x (+ -1/96 (* (* x x) -19/5760))) |
(+ -1/96 (* (* x x) -19/5760)) |
-1/96 |
(* (* x x) -19/5760) |
-19/5760 |
(+ 1 (* x (+ 1 (* x 1/2)))) |
(* x (+ 1 (* x 1/2))) |
(+ 1 (* x 1/2)) |
(* x 1/2) |
1/2 |
(/ (fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))) (exp x)) |
(fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))) |
(exp x) |
x |
(* (pow x 6) (+ -19/5760 (/ -1/96 (* x x)))) |
(pow x 6) |
6 |
(+ -19/5760 (/ -1/96 (* x x))) |
-19/5760 |
(/ -1/96 (* x x)) |
-1/96 |
(* x x) |
| Outputs |
|---|
(/ (fmod x (sqrt (cos x))) (exp 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 x) |
(exp.f64 x) |
(/ (fmod 1 1) 1) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod 1 1) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ (fmod (exp x) (+ 1 (* -1/4 (* x x)))) (+ x 1)) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(fmod (exp x) (+ 1 (* -1/4 (* x x)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(exp x) |
(exp.f64 x) |
x |
(+ 1 (* -1/4 (* x x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(* -1/4 (* x x)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 x x)) |
-1/4 |
#s(literal -1/4 binary64) |
(* x x) |
(*.f64 x x) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2))))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) |
(fmod.f64 (exp.f64 x) (+.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))))))))) |
(exp x) |
(exp.f64 x) |
x |
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))) |
(+.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)))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))) |
(*.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))))))) |
(* x x) |
(*.f64 x x) |
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))) |
(+.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)))))) |
-1/4 |
#s(literal -1/4 binary64) |
(* x (* x (+ -1/96 (* (* x x) -19/5760)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))) |
(* x (+ -1/96 (* (* x x) -19/5760))) |
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
(+ -1/96 (* (* x x) -19/5760)) |
(+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) |
-1/96 |
#s(literal -1/96 binary64) |
(* (* x x) -19/5760) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
-19/5760 |
#s(literal -19/5760 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))))) |
(* x (+ 1 (* x 1/2))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(+ 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) |
(/ (fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))) (exp.f64 x)) |
(fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))) |
(fmod.f64 (exp.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))) |
(exp x) |
(exp.f64 x) |
x |
(* (pow x 6) (+ -19/5760 (/ -1/96 (* x x)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))) |
(pow x 6) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
6 |
#s(literal 6 binary64) |
(+ -19/5760 (/ -1/96 (* x x))) |
(+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))) |
-19/5760 |
#s(literal -19/5760 binary64) |
(/ -1/96 (* x x)) |
(/.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
-1/96 |
#s(literal -1/96 binary64) |
(* x x) |
(*.f64 x x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.2% | (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))) (exp.f64 x)) |
| ✓ | accuracy | 59.0% | (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 30.3% | (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
| ✓ | accuracy | 29.7% | (fmod.f64 (exp.f64 x) (+.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))))))))) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 29.6% | (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #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 x)) |
| ✓ | accuracy | 99.6% | (fmod.f64 x (sqrt.f64 (cos.f64 x))) |
| 381.0ms | 155× | 1 | valid |
| 357.0ms | 58× | 5 | exit |
| 109.0ms | 40× | 2 | valid |
| 2.0ms | 3× | 0 | valid |
Compiled 315 to 40 computations (87.3% saved)
ival-fmod: 136.0ms (28.5% of total)backward-pass: 105.0ms (22% of total)...c/correct-round.rkt:119:19: 68.0ms (14.3% of total)ival-mult: 43.0ms (9% of total)ival-add: 34.0ms (7.1% of total)ival-div: 34.0ms (7.1% of total)ival-exp: 23.0ms (4.8% of total)ival-cos: 14.0ms (2.9% of total)ival-pow: 13.0ms (2.7% of total)ival-sqrt: 5.0ms (1% of total)const: 2.0ms (0.4% of total)| Inputs |
|---|
#<alt (/ (fmod x (sqrt (cos x))) (exp x))> |
#<alt (fmod x (sqrt (cos x)))> |
#<alt (sqrt (cos x))> |
#<alt (cos x)> |
#<alt (/ (fmod 1 1) 1)> |
#<alt (fmod 1 1)> |
#<alt (/ (fmod (exp x) (+ 1 (* -1/4 (* x x)))) (+ x 1))> |
#<alt (fmod (exp x) (+ 1 (* -1/4 (* x x))))> |
#<alt (exp x)> |
#<alt (+ 1 (* -1/4 (* x x)))> |
#<alt (/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))> |
#<alt (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))> |
#<alt (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))> |
#<alt (pow x 6)> |
#<alt (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))> |
#<alt (/ (fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))) (exp x))> |
#<alt (fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x)))))> |
#<alt (* -1/4 (* x x))> |
#<alt (* x (+ -1/96 (* (* x x) -19/5760)))> |
#<alt (* (* x x) -19/5760)> |
#<alt (* x (* x (+ -1/96 (* (* x x) -19/5760))))> |
#<alt (/ -1/96 (* 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 (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x)))))) (+ (* -1/2 (fmod x (sqrt (cos x)))) (* 1/6 (fmod x (sqrt (cos x)))))))) (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x))))> |
#<alt (/ (fmod x (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod x (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod x (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod x (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod x (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod x (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod x (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod x (sqrt (cos x))) (exp 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 (* -1/4 (pow x 2))))> |
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))> |
#<alt (+ (* x (- (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))> |
#<alt (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)> |
#<alt (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)> |
#<alt (/ (- (+ (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) x)> |
#<alt (/ (- (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 3))) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x))) x)> |
#<alt (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)> |
#<alt (* -1 (/ (+ (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x))> |
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))> |
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))> |
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))> |
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))> |
#<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 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))> |
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))> |
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))> |
#<alt (* 2 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))> |
#<alt (/ (+ (* -4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -2 (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))))) (pow x 3))) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 2))> |
#<alt (* 2 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))> |
#<alt (/ (+ (* -4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (* -4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) x)) (* -4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))> |
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))> |
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))> |
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))> |
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))> |
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (* -19/5760 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))> |
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (* -19/5760 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))> |
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (* -1/96 (pow x 4))> |
#<alt (* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))> |
#<alt (* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))> |
#<alt (* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))> |
#<alt (* -19/5760 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -19/5760 (pow x 6))> |
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (+ (* -1 (* x (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))))) (+ (* -1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/6 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))))))) (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))> |
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))> |
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))> |
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))> |
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))> |
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))> |
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))> |
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))> |
#<alt (/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* -1/96 x)> |
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))> |
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))> |
#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))> |
#<alt (* -19/5760 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -19/5760 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -1/96 (pow x 2))> |
#<alt (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))> |
#<alt (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))> |
#<alt (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96))> |
#<alt (* -19/5760 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -19/5760 (pow x 4))> |
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
#<alt (/ -1/96 (pow x 2))> |
#<alt (/ -1/96 (pow x 2))> |
#<alt (/ -1/96 (pow x 2))> |
#<alt (/ -1/96 (pow x 2))> |
#<alt (/ -1/96 (pow x 2))> |
#<alt (/ -1/96 (pow x 2))> |
#<alt (/ -1/96 (pow x 2))> |
#<alt (/ -1/96 (pow x 2))> |
#<alt (/ -1/96 (pow x 2))> |
#<alt (/ -1/96 (pow x 2))> |
#<alt (/ -1/96 (pow x 2))> |
#<alt (/ -1/96 (pow x 2))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x)))) |
| 2.0ms | x | @ | inf | (exp x) |
| 1.0ms | x | @ | inf | (/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2))))) |
| 1.0ms | x | @ | -inf | (/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2))))) |
| 1.0ms | x | @ | 0 | (/ (fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))) (exp x)) |
| 1× | batch-egg-rewrite |
| 3180× | *-lowering-*.f32 |
| 3180× | *-lowering-*.f64 |
| 3012× | /-lowering-/.f32 |
| 3012× | /-lowering-/.f64 |
| 2122× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 189 |
| 1 | 233 | 173 |
| 2 | 1951 | 173 |
| 0 | 8667 | 173 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (fmod x (sqrt (cos x))) (exp x)) |
(fmod x (sqrt (cos x))) |
(sqrt (cos x)) |
(cos x) |
(/ (fmod 1 1) 1) |
(fmod 1 1) |
(/ (fmod (exp x) (+ 1 (* -1/4 (* x x)))) (+ x 1)) |
(fmod (exp x) (+ 1 (* -1/4 (* x x)))) |
(exp x) |
(+ 1 (* -1/4 (* x x))) |
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2))))) |
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) |
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))) |
(pow x 6) |
(* (pow x 6) (+ -19/5760 (/ -1/96 (* x x)))) |
(/ (fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))) (exp x)) |
(fmod (exp x) (* (pow x 6) (+ -19/5760 (/ -1/96 (* x x))))) |
(* -1/4 (* x x)) |
(* x (+ -1/96 (* (* x x) -19/5760))) |
(* (* x x) -19/5760) |
(* x (* x (+ -1/96 (* (* x x) -19/5760)))) |
(/ -1/96 (* x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 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 0 binary64) (exp.f64 x)))) |
(neg.f64 (/.f64 (fmod.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 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (exp.f64 x))) |
(/.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 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (exp.f64 x) (fmod.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 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.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 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(/.f64 (*.f64 (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -1/96 binary64) x)))) |
(/.f64 #s(literal 1/96 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1/96 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal -1/96 binary64) x) x) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/96 binary64) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/96 binary64) x))) (neg.f64 (neg.f64 x))) |
(pow.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal -1/96 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/96 binary64)) |
(*.f64 (/.f64 #s(literal -1/96 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1/96 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/96 binary64) x)) |
| 1× | egg-herbie |
| 2882× | *-lowering-*.f32 |
| 2882× | *-lowering-*.f64 |
| 1836× | +-lowering-+.f64 |
| 1836× | +-lowering-+.f32 |
| 1432× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 3343 |
| 1 | 911 | 2764 |
| 2 | 3150 | 2627 |
| 0 | 9402 | 2627 |
| 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 (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x)))))) (+ (* -1/2 (fmod x (sqrt (cos x)))) (* 1/6 (fmod x (sqrt (cos x)))))))) (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x)))) |
(/ (fmod x (sqrt (cos x))) (exp x)) |
(/ (fmod x (sqrt (cos x))) (exp x)) |
(/ (fmod x (sqrt (cos x))) (exp x)) |
(/ (fmod x (sqrt (cos x))) (exp x)) |
(/ (fmod x (sqrt (cos x))) (exp x)) |
(/ (fmod x (sqrt (cos x))) (exp x)) |
(/ (fmod x (sqrt (cos x))) (exp x)) |
(/ (fmod x (sqrt (cos x))) (exp 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 (* -1/4 (pow x 2)))) |
(+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) |
(+ (* x (- (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) |
(+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) |
(/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) |
(/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x) |
(/ (- (+ (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) x) |
(/ (- (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 3))) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x))) x) |
(/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) |
(* -1 (/ (+ (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) x)) |
(* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) |
(fmod (exp x) (+ 1 (* -1/4 (pow x 2)))) |
(fmod (exp x) (+ 1 (* -1/4 (pow x 2)))) |
(fmod (exp x) (+ 1 (* -1/4 (pow x 2)))) |
(fmod (exp x) (+ 1 (* -1/4 (pow x 2)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
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 (* -1/4 (pow x 2))) |
(+ 1 (* -1/4 (pow x 2))) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(* 2 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) |
(/ (+ (* -4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -2 (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))))) (pow x 3))) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 2)) |
(* 2 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) |
(/ (+ (* -4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2)) |
(/ (+ (* -1 (/ (- (+ (* -8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (* -4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 8 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (+ (* -8 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) x)) (* -4 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2)) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(* -19/5760 (pow x 6)) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760)) |
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2))))))) |
(* -19/5760 (pow x 6)) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760)) |
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2))))))) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(* -1/96 (pow x 4)) |
(* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96)) |
(* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96)) |
(* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96)) |
(* -19/5760 (pow x 6)) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -19/5760 (pow x 6)) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) |
(+ (* -1 (* x (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))))) (+ (* -1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/6 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))))))) (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))))) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) (exp x)) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* -1/96 x) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(* -19/5760 (pow x 3)) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -19/5760 (pow x 3)) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -1/96 (pow x 2)) |
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) |
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) |
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) |
(* -19/5760 (pow x 4)) |
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -19/5760 (pow x 4)) |
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(/ -1/96 (pow x 2)) |
(/ -1/96 (pow x 2)) |
(/ -1/96 (pow x 2)) |
(/ -1/96 (pow x 2)) |
(/ -1/96 (pow x 2)) |
(/ -1/96 (pow x 2)) |
(/ -1/96 (pow x 2)) |
(/ -1/96 (pow x 2)) |
(/ -1/96 (pow x 2)) |
(/ -1/96 (pow x 2)) |
(/ -1/96 (pow x 2)) |
(/ -1/96 (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 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 x (sqrt.f64 (cos.f64 x)))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x)))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fmod.f64 x (sqrt.f64 (cos.f64 x)))) (fmod.f64 x (sqrt.f64 (cos.f64 x))))) (fmod.f64 x (sqrt.f64 (cos.f64 x)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x)))))) (+ (* -1/2 (fmod x (sqrt (cos x)))) (* 1/6 (fmod x (sqrt (cos x)))))))) (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x)))) |
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 x (sqrt.f64 (cos.f64 x)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (fmod.f64 x (sqrt.f64 (cos.f64 x)))) #s(literal 0 binary64))))) (fmod.f64 x (sqrt.f64 (cos.f64 x))))) (fmod.f64 x (sqrt.f64 (cos.f64 x)))) |
(/ (fmod x (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod x (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod x (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod x (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod x (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod x (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod x (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod x (sqrt (cos x))) (exp 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 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64))) x) x)) |
(+ 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 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 x (*.f64 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) |
(fmod (exp x) (+ 1 (* -1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) |
(+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) |
(+ (* x (- (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) |
(+.f64 (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (+.f64 x #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) |
(+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) |
(+.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) |
(/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x) |
(/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x) |
(/.f64 (-.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) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x)) x) |
(/ (- (+ (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) x) |
(/.f64 (+.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (/.f64 (-.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) x)) x) |
(/ (- (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 3))) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x))) x) |
(/.f64 (+.f64 (-.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) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) x)) x) |
(/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x) |
(* -1 (/ (+ (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) x)) |
(/.f64 (-.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) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x)) x) |
(* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) |
(/.f64 (+.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (/.f64 (-.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) x)) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) |
(/.f64 (+.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (/.f64 (-.f64 (/.f64 (-.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) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) x)) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) x)) x) |
(fmod (exp x) (+ 1 (* -1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) |
(fmod (exp x) (+ 1 (* -1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) |
(fmod (exp x) (+ 1 (* -1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) |
(fmod (exp x) (+ 1 (* -1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 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) |
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 (* -1/4 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
(+ 1 (* -1/4 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
(* -1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/4 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
(* -1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/4 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod.f64 (exp.f64 x) (+.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)))))))) |
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.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))))))))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(+.f64 (fmod.f64 (exp.f64 x) (+.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)))))))) (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (+.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))))))))) (fmod.f64 (exp.f64 x) (+.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))))))))))) |
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(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 4) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x)))) |
(/ -1/96 (pow x 2)) |
(/.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
(/ -1/96 (pow x 2)) |
(/.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
(/ -1/96 (pow x 2)) |
(/.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
(/ -1/96 (pow x 2)) |
(/.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
(/ -1/96 (pow x 2)) |
(/.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
(/ -1/96 (pow x 2)) |
(/.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
(/ -1/96 (pow x 2)) |
(/.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
(/ -1/96 (pow x 2)) |
(/.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
(/ -1/96 (pow x 2)) |
(/.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
(/ -1/96 (pow x 2)) |
(/.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
(/ -1/96 (pow x 2)) |
(/.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
(/ -1/96 (pow x 2)) |
(/.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
Compiled 18480 to 1727 computations (90.7% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 636 | 12 | 648 |
| Fresh | 6 | 12 | 18 |
| Picked | 5 | 0 | 5 |
| Done | 1 | 1 | 2 |
| Total | 648 | 25 | 673 |
| Status | Accuracy | Program |
|---|---|---|
| 4.5% | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) | |
| 39.2% | (fmod.f64 x (sqrt.f64 (cos.f64 x))) | |
| ▶ | 25.9% | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 5.2% | (/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) | |
| 6.0% | (/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (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 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (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)))))) | |
| 7.2% | (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) | |
| ▶ | 5.4% | (/.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))))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
| 13.2% | (/.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)) | |
| 7.1% | (/.f64 (fmod.f64 (+.f64 #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 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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) | |
| 16.0% | (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) | |
| 16.9% | (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) | |
| 16.7% | (/.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)) (exp.f64 x)) | |
| 6.1% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x)) | |
| ▶ | 5.3% | (/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (+.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)))))))) |
| ✓ | 6.2% | (/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (exp.f64 x)) |
| 6.2% | (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 x)) | |
| 1.2% | (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) | |
| ▶ | 1.6% | (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x)) |
| 2.6% | (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 x #s(literal 1 binary64))) | |
| 6.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))) | |
| ▶ | 61.1% | (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
| 15.1% | (/.f64 (fmod.f64 #s(literal 1 binary64) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) | |
| 4.7% | (/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) | |
| 5.0% | (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
Compiled 1016 to 650 computations (36% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x)) |
| ✓ | cost-diff | 5824 | (pow.f64 x #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (+.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)))))))) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (+.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))))))))) |
| ✓ | cost-diff | 0 | (/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (+.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 | (*.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))))))) (+.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))))))))) |
| ✓ | cost-diff | 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))))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
| ✓ | cost-diff | 0 | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
| 2618× | *-lowering-*.f32 |
| 2618× | *-lowering-*.f64 |
| 2184× | fma-define |
| 1808× | fma-lowering-fma.f32 |
| 1808× | fma-lowering-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 511 |
| 1 | 104 | 446 |
| 2 | 288 | 443 |
| 3 | 796 | 443 |
| 4 | 1842 | 443 |
| 5 | 2990 | 443 |
| 6 | 4493 | 443 |
| 0 | 8577 | 443 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (fmod x 1) (exp x)) |
(fmod x 1) |
x |
1 |
(exp x) |
(fmod 1 1) |
1 |
(/ (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2))))) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) |
(+ 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 |
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))) |
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))) |
(* x x) |
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))) |
-1/4 |
(* x (* x (+ -1/96 (* (* x x) -19/5760)))) |
(* x (+ -1/96 (* (* x x) -19/5760))) |
(+ -1/96 (* (* x x) -19/5760)) |
-1/96 |
(* (* x x) -19/5760) |
-19/5760 |
(+ 1 (* x (+ 1 (* x 1/2)))) |
(* x (+ 1 (* x 1/2))) |
(+ 1 (* x 1/2)) |
(* x 1/2) |
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))) |
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) |
(exp x) |
x |
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))) |
1 |
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))) |
(* x x) |
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))) |
-1/4 |
(* x (* x (+ -1/96 (* (* x x) -19/5760)))) |
(* x (+ -1/96 (* (* x x) -19/5760))) |
(+ -1/96 (* (* x x) -19/5760)) |
-1/96 |
(* (* x x) -19/5760) |
-19/5760 |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) |
(* x (+ 1 (* x (+ 1/2 (* x 1/6))))) |
(+ 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 |
(/ (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp x)) |
(fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) |
(exp x) |
x |
(* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))) |
(pow x 6) |
6 |
(- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))) |
-19/5760 |
(/ (+ 1/96 (/ 1/4 (* x x))) (* x x)) |
(+ 1/96 (/ 1/4 (* x x))) |
1/96 |
(/ 1/4 (* x x)) |
1/4 |
(* x x) |
| Outputs |
|---|
(/ (fmod x 1) (exp 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 x) |
(exp.f64 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 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2))))) |
(/.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))))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) |
(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))))))) (+.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))))))))) |
(+ 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) |
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))) |
(+.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)))))))) |
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))) |
(*.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))))))) |
(* x x) |
(*.f64 x x) |
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))) |
(+.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)))))) |
-1/4 |
#s(literal -1/4 binary64) |
(* x (* x (+ -1/96 (* (* x x) -19/5760)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))) |
(* x (+ -1/96 (* (* x x) -19/5760))) |
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
(+ -1/96 (* (* x x) -19/5760)) |
(+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) |
-1/96 |
#s(literal -1/96 binary64) |
(* (* x x) -19/5760) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
-19/5760 |
#s(literal -19/5760 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))))) |
(* x (+ 1 (* x 1/2))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(+ 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)) |
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (+.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)))))))) |
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) |
(fmod.f64 (exp.f64 x) (+.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))))))))) |
(exp x) |
(exp.f64 x) |
x |
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))) |
(+.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)))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))) |
(*.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))))))) |
(* x x) |
(*.f64 x x) |
(+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))) |
(+.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)))))) |
-1/4 |
#s(literal -1/4 binary64) |
(* x (* x (+ -1/96 (* (* x x) -19/5760)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))) |
(* x (+ -1/96 (* (* x x) -19/5760))) |
(*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
(+ -1/96 (* (* x x) -19/5760)) |
(+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) |
-1/96 |
#s(literal -1/96 binary64) |
(* (* x x) -19/5760) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
-19/5760 |
#s(literal -19/5760 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))))))) |
(* 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)))))) |
(+ 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) |
(/ (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x)) |
(fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) |
(fmod.f64 (exp.f64 x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x x))))) |
(exp x) |
(exp.f64 x) |
x |
(* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(pow x 6) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) |
6 |
#s(literal 6 binary64) |
(- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))) |
(+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x x))) |
-19/5760 |
#s(literal -19/5760 binary64) |
(/ (+ 1/96 (/ 1/4 (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ 1/96 (/ 1/4 (* x x))) |
(+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
1/96 |
#s(literal 1/96 binary64) |
(/ 1/4 (* x x)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
1/4 |
#s(literal 1/4 binary64) |
(* x x) |
(*.f64 x x) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.2% | (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x)) |
| ✓ | accuracy | 38.8% | (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
| ✓ | accuracy | 34.3% | (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
| ✓ | accuracy | 29.7% | (fmod.f64 (exp.f64 x) (+.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))))))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
| ✓ | accuracy | 29.9% | (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))))))) (+.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))))))))) |
| ✓ | 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% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
| 422.0ms | 58× | 5 | exit |
| 391.0ms | 152× | 1 | valid |
| 134.0ms | 40× | 2 | valid |
| 5.0ms | 6× | 0 | valid |
Compiled 566 to 45 computations (92% saved)
ival-fmod: 138.0ms (25.3% of total)...c/correct-round.rkt:119:19: 94.0ms (17.2% of total)backward-pass: 81.0ms (14.9% of total)ival-mult: 74.0ms (13.6% of total)ival-add: 48.0ms (8.8% of total)ival-div: 45.0ms (8.3% of total)ival-sub: 35.0ms (6.4% of total)ival-exp: 14.0ms (2.6% of total)ival-pow: 14.0ms (2.6% of total)const: 3.0ms (0.6% of total)| Inputs |
|---|
#<alt (/ (fmod x 1) (exp x))> |
#<alt (fmod x 1)> |
#<alt (exp x)> |
#<alt (fmod 1 1)> |
#<alt (/ (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2)))))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))> |
#<alt (/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))))> |
#<alt (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))))> |
#<alt (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))> |
#<alt (pow x 6)> |
#<alt (/ (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp x))> |
#<alt (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))))> |
#<alt (* x (+ -1/96 (* (* x x) -19/5760)))> |
#<alt (* x 1/6)> |
#<alt (* (* x x) -19/5760)> |
#<alt (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))> |
#<alt (/ 1/4 (* x x))> |
| Outputs |
|---|
#<alt (fmod x 1)> |
#<alt (+ (* -1 (* x (fmod x 1))) (fmod x 1))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1))))) (fmod x 1))) (fmod x 1))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1)))) (+ (* -1/2 (fmod x 1)) (* 1/6 (fmod x 1)))))) (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1))))) (fmod x 1))) (fmod x 1))> |
#<alt (/ (fmod x 1) (exp x))> |
#<alt (/ (fmod x 1) (exp x))> |
#<alt (/ (fmod x 1) (exp x))> |
#<alt (/ (fmod x 1) (exp x))> |
#<alt (/ (fmod x 1) (exp x))> |
#<alt (/ (fmod x 1) (exp x))> |
#<alt (/ (fmod x 1) (exp x))> |
#<alt (/ (fmod x 1) (exp x))> |
#<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 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))> |
#<alt (+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (* -1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))> |
#<alt (* 2 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))> |
#<alt (/ (+ (* -4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -2 (+ (* -8 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))))) (pow x 3))) (* 2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -8 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 2))> |
#<alt (* 2 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))> |
#<alt (/ (+ (* -4 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (* -4 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 8 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (+ (* -8 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) x)) (* -4 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))> |
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))> |
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))> |
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#<alt (* 1/6 (pow x 3))> |
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#<alt x> |
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#<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))))> |
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#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
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#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))> |
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#<alt (/ (- (+ (* -1 (/ (+ (* -54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 3))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -108 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (+ (* -3 (+ (* -54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) (* 36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) (pow x 3))) (* 6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -54 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 36 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 3))> |
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#<alt 1> |
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#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))> |
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#<alt (* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))> |
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#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
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#<alt (+ (* -1 (* x (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))))) (+ (* -1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/6 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))))))) (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))> |
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#<alt (* -1/96 x)> |
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#<alt (* x (- (* -19/5760 (pow x 2)) 1/96))> |
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#<alt (* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (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 (* -19/5760 (pow x 2))> |
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#<alt (* -19/5760 (pow x 2))> |
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#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -19/5760 (pow x 2))> |
#<alt (* -1/4 (pow x 2))> |
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#<alt (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))> |
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#<alt (* -19/5760 (pow x 6))> |
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#<alt (/ 1/4 (pow x 2))> |
#<alt (/ 1/4 (pow x 2))> |
#<alt (/ 1/4 (pow x 2))> |
#<alt (/ 1/4 (pow x 2))> |
#<alt (/ 1/4 (pow x 2))> |
#<alt (/ 1/4 (pow x 2))> |
#<alt (/ 1/4 (pow x 2))> |
#<alt (/ 1/4 (pow x 2))> |
#<alt (/ 1/4 (pow x 2))> |
#<alt (/ 1/4 (pow x 2))> |
#<alt (/ 1/4 (pow x 2))> |
#<alt (/ 1/4 (pow x 2))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (/ (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2))))) |
| 3.0ms | x | @ | inf | (/ (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2))))) |
| 1.0ms | x | @ | inf | (/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))) |
| 1.0ms | x | @ | -inf | (/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))) |
| 1.0ms | x | @ | 0 | (/ (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp x)) |
| 1× | batch-egg-rewrite |
| 3714× | *-lowering-*.f32 |
| 3714× | *-lowering-*.f64 |
| 2392× | /-lowering-/.f32 |
| 2392× | /-lowering-/.f64 |
| 2190× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 252 |
| 1 | 271 | 220 |
| 2 | 2483 | 219 |
| 0 | 8478 | 219 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (fmod x 1) (exp x)) |
(fmod x 1) |
(exp x) |
(fmod 1 1) |
(/ (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x 1/2))))) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) |
(* x (+ 1 (* x (+ 1/2 (* x 1/6))))) |
(/ (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))) |
(fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) |
(+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760))))))) |
(pow x 6) |
(/ (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp x)) |
(fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) |
(* x (+ -1/96 (* (* x x) -19/5760))) |
(* x 1/6) |
(* (* x x) -19/5760) |
(* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))) |
(/ 1/4 (* x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (fmod.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 x #s(literal 1 binary64))) (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 x #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(/.f64 (*.f64 (fmod.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.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 0 binary64) (fmod.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fmod.f64 x #s(literal 1 binary64)) |
(exp.f64 x) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) x) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64))))))))))) #s(literal -1 binary64))) |
(neg.f64 (/.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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64))))))))) (+.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64)))))))))) (+.f64 #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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64)))))))))) #s(literal 1 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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64)))))))))) (+.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64)))))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64))))))))))) (neg.f64 (+.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))) |
(/.f64 (*.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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64))))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64)))))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64)))))))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64)))))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64)))))))))) #s(literal -1 binary64))) |
(*.f64 (/.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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) |
(*.f64 (/.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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(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))))))) (+.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 x (*.f64 x #s(literal -19/5760 binary64))))))))) |
(+.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x 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 (*.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 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x))) |
(-.f64 (/.f64 #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 (*.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 #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 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))) |
(fma.f64 x #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x)) #s(literal 1 binary64))) |
(fma.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)) |
(fma.f64 #s(literal 1 binary64) x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x)) #s(literal 1 binary64))) |
(fma.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)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x #s(literal 1 binary64)) |
(fma.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)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.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 (*.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 (*.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)))))) (*.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 #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 #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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))))) |
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(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/4 binary64) x))) |
(/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1/4 binary64) x) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) x)) (neg.f64 x)) |
(pow.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 1/4 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/4 binary64) x)) |
| 1× | egg-herbie |
| 2830× | *-lowering-*.f32 |
| 2830× | *-lowering-*.f64 |
| 2058× | +-lowering-+.f64 |
| 2058× | +-lowering-+.f32 |
| 1980× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 350 | 4654 |
| 1 | 1178 | 3755 |
| 2 | 4564 | 3678 |
| 0 | 8015 | 3678 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod x 1) |
(+ (* -1 (* x (fmod x 1))) (fmod x 1)) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1))))) (fmod x 1))) (fmod x 1)) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1)))) (+ (* -1/2 (fmod x 1)) (* 1/6 (fmod x 1)))))) (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1))))) (fmod x 1))) (fmod x 1)) |
(/ (fmod x 1) (exp x)) |
(/ (fmod x 1) (exp x)) |
(/ (fmod x 1) (exp x)) |
(/ (fmod x 1) (exp x)) |
(/ (fmod x 1) (exp x)) |
(/ (fmod x 1) (exp x)) |
(/ (fmod x 1) (exp x)) |
(/ (fmod x 1) (exp 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) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (* -1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(* 2 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) |
(/ (+ (* -4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -8 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -8 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -2 (+ (* -8 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))))) (pow x 3))) (* 2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -8 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 2)) |
(* 2 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) |
(/ (+ (* -4 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2)) |
(/ (+ (* -1 (/ (- (+ (* -8 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 4 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (* -4 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 8 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (+ (* -8 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 4 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) x)) (* -4 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 2 (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2)) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
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))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (+ (* -1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/6 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))))) (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(* 6 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 3))) |
(/ (+ (* -18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 3)) |
(/ (- (+ (* -1 (/ (+ (* -54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2))) (* 6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (* 18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 3)) |
(/ (- (+ (* -1 (/ (+ (* -108 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (+ (* -3 (+ (* -54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) (* 36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) (pow x 3))) (* 6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (+ (* -54 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) (+ (* 18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 36 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2)))))) (pow x 3)) |
(* 6 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ (* -6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 18 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (pow x 3))) |
(* -1 (/ (+ (* -6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -1 (/ (- (+ (* -36 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 54 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x))) (* 18 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x))) (pow x 3))) |
(* -1 (/ (+ (* -6 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (+ (* 3 (/ (+ (* -36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x)) (* 36 (/ (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)))) (+ (* -36 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) (* 54 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))))) x)) (* 18 (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) x))) (pow x 3))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
(fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(* -19/5760 (pow x 6)) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760)) |
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2))))))) |
(* -19/5760 (pow x 6)) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760)) |
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2))))))) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(+ (* -1 (* x (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))))) (+ (* -1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/6 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))))))) (+ (* -1 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x)) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(* -1/96 x) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(* -19/5760 (pow x 3)) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -19/5760 (pow x 3)) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (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) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -19/5760 (pow x 2)) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)) |
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)) |
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)) |
(* -19/5760 (pow x 6)) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760)) |
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760)) |
(* -19/5760 (pow x 6)) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760)) |
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760)) |
(/ 1/4 (pow x 2)) |
(/ 1/4 (pow x 2)) |
(/ 1/4 (pow x 2)) |
(/ 1/4 (pow x 2)) |
(/ 1/4 (pow x 2)) |
(/ 1/4 (pow x 2)) |
(/ 1/4 (pow x 2)) |
(/ 1/4 (pow x 2)) |
(/ 1/4 (pow x 2)) |
(/ 1/4 (pow x 2)) |
(/ 1/4 (pow x 2)) |
(/ 1/4 (pow x 2)) |
| Outputs |
|---|
(fmod x 1) |
(fmod.f64 x #s(literal 1 binary64)) |
(+ (* -1 (* x (fmod x 1))) (fmod x 1)) |
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1))))) (fmod x 1))) (fmod x 1)) |
(+.f64 (fmod.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 (*.f64 x (*.f64 (fmod.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (fmod.f64 x #s(literal 1 binary64))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1)))) (+ (* -1/2 (fmod x 1)) (* 1/6 (fmod x 1)))))) (+ (* -1 (fmod x 1)) (* 1/2 (fmod x 1))))) (fmod x 1))) (fmod x 1)) |
(+.f64 (fmod.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 (fmod.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (fmod.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (fmod.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))))))) (fmod.f64 x #s(literal 1 binary64))))) |
(/ (fmod x 1) (exp x)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod x 1) (exp x)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod x 1) (exp x)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod x 1) (exp x)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod x 1) (exp x)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod x 1) (exp x)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod x 1) (exp x)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod x 1) (exp x)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(fmod x 1) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod x 1) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod x 1) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod x 1) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod x 1) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod x 1) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod x 1) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod x 1) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod x 1) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod x 1) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod x 1) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod x 1) |
(fmod.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 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))) |
(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))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)))))) |
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (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))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))))))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(+.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))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)))))) (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (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))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))))))) (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))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))))))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))))) (* -1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) |
(+.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))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)))))) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (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))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))))))) (*.f64 x (neg.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (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))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)))))))))))) (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))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))))))))) |
(* 2 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) (pow x 2))) |
(/.f64 (*.f64 #s(literal 2 binary64) (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))))))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (*.f64 x x)) |
(/ (+ (* -4 (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))) x)) (* 2 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))) (pow x 2)) |
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1 |
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(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) (exp.f64 x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) (exp.f64 x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) (exp.f64 x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) (exp.f64 x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) (exp.f64 x)) |
(/ (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) (exp.f64 x)) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))) |
(fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* -1/96 x) |
(*.f64 x #s(literal -1/96 binary64)) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) |
(* -19/5760 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -19/5760 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -19/5760 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))) |
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)) |
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)) |
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)))) |
(* -19/5760 (pow x 6)) |
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 (*.f64 x x))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 (*.f64 x x))))) |
(* -19/5760 (pow x 6)) |
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 (*.f64 x x))))) |
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 (*.f64 x x))))) |
(/ 1/4 (pow x 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(/ 1/4 (pow x 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(/ 1/4 (pow x 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(/ 1/4 (pow x 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(/ 1/4 (pow x 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(/ 1/4 (pow x 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(/ 1/4 (pow x 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(/ 1/4 (pow x 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(/ 1/4 (pow x 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(/ 1/4 (pow x 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(/ 1/4 (pow x 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(/ 1/4 (pow x 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
Compiled 28187 to 1515 computations (94.6% saved)
31 alts after pruning (28 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 649 | 17 | 666 |
| Fresh | 8 | 11 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 660 | 31 | 691 |
| Status | Accuracy | Program |
|---|---|---|
| 60.4% | (fmod.f64 x #s(literal 1 binary64)) | |
| ✓ | 25.9% | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 5.2% | (/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) | |
| 15.1% | (/.f64 (fmod.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) | |
| 5.4% | (/.f64 (fmod.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) | |
| 7.2% | (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) | |
| 7.0% | (/.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))))))) (+.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))))))))) (+.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)))))))) | |
| 5.4% | (/.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))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) | |
| 2.8% | (/.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))))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) | |
| 13.2% | (/.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)) | |
| 16.0% | (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) | |
| 16.9% | (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) | |
| 16.7% | (/.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)) (exp.f64 x)) | |
| 6.8% | (/.f64 (fmod.f64 (*.f64 (+.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)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) | |
| 5.5% | (/.f64 (fmod.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) | |
| 4.5% | (/.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) | |
| 3.1% | (/.f64 (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (-.f64 #s(literal 361/33177600 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x)) | |
| 2.4% | (/.f64 (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (-.f64 #s(literal -6859/191102976000 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))))) (exp.f64 x)) | |
| 6.1% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x)) | |
| ✓ | 6.2% | (/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (exp.f64 x)) |
| 5.4% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 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)))))))) | |
| 5.3% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 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)))))))) | |
| 6.2% | (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 x)) | |
| 6.1% | (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (exp.f64 x)) | |
| 6.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))) | |
| 60.4% | (/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) | |
| 60.4% | (/.f64 (fmod.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)))))))) | |
| 60.3% | (/.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)))))) | |
| ✓ | 61.1% | (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
| 4.7% | (/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) | |
| 5.0% | (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
Compiled 2317 to 740 computations (68.1% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 x #s(literal 1 binary64)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.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)))))) |
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.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 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (+.f64 #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 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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))))))) (+.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))))))))) (+.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 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (*.f64 (+.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)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 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 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.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)))) (+.f64 x #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)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.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 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 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 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.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)))))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 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 (exp.f64 x) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (+.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)))))))) |
(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) (+.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 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (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))))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (-.f64 #s(literal 361/33177600 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (-.f64 #s(literal -6859/191102976000 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))))) (exp.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 x)) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))) (exp.f64 x)) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal -1/96 binary64) (*.f64 x x))))) (exp.f64 x)) |
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (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 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x)) |
(/.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 #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 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (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)))))) |
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/.f64 (fmod.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.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 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 x)) |
| Outputs |
|---|
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (exp.f64 x)) |
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
2 calls:
| 18.0ms | x |
| 14.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.9% | 3 | x |
| 61.1% | 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)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.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)))))) |
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.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 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (+.f64 #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 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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))))))) (+.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))))))))) (+.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 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (*.f64 (+.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)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 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 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.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)))) (+.f64 x #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)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.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 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 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 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.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)))))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 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 (exp.f64 x) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (+.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)))))))) |
(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) (+.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 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (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))))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 19/5760 binary64) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (-.f64 #s(literal 361/33177600 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (-.f64 #s(literal -6859/191102976000 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 361/33177600 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))))))) (exp.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 x)) |
| Outputs |
|---|
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (exp.f64 x)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
1 calls:
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.9% | 3 | 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)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.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)))))) |
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.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 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (+.f64 #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 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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))))))) (+.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))))))))) (+.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 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (*.f64 (+.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)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 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 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.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)))) (+.f64 x #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)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.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 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 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 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (+.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)))))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 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 (exp.f64 x) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (+.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)))))))) |
(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) (+.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 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (+.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))))))))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 (*.f64 (+.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)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.3% | 3 | 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)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.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)))))) |
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.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 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (+.f64 #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 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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))))))) (+.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))))))))) (+.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 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (*.f64 (+.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)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 (*.f64 (+.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)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(fmod.f64 x #s(literal 1 binary64)) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.6% | 3 | 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)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.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)))))) |
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.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 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))))) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (+.f64 #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 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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (fmod.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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))))))) (+.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))))))))) (+.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 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(fmod.f64 x #s(literal 1 binary64)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.4% | 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)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) |
(/.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)))))) |
| Outputs |
|---|
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 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)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(fmod.f64 x #s(literal 1 binary64)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 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 |
|---|---|---|
| 25.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 48.0ms | -4.555902335100665e-99 | -1.0298220108093915e-109 |
| 21.0ms | -6.875496992479101e-13 | -1.993187883869604e-18 |
| 42.0ms | 160× | 1 | valid |
| 16.0ms | 144× | 0 | valid |
Compiled 895 to 475 computations (46.9% saved)
ival-exp: 14.0ms (32.4% of total)ival-fmod: 14.0ms (32.4% of total)ival-cos: 4.0ms (9.3% of total)ival-sqrt: 4.0ms (9.3% of total)ival-mult: 3.0ms (6.9% of total)backward-pass: 3.0ms (6.9% of total)ival-neg: 2.0ms (4.6% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 49.0ms | -4.555902335100665e-99 | -1.0298220108093915e-109 |
| 21.0ms | -6.875496992479101e-13 | -1.993187883869604e-18 |
| 43.0ms | 160× | 1 | valid |
| 16.0ms | 144× | 0 | valid |
Compiled 875 to 465 computations (46.9% saved)
ival-exp: 15.0ms (33% of total)ival-fmod: 15.0ms (33% of total)ival-cos: 4.0ms (8.8% of total)ival-sqrt: 4.0ms (8.8% of total)ival-mult: 3.0ms (6.6% of total)backward-pass: 3.0ms (6.6% of total)ival-neg: 2.0ms (4.4% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 45.0ms | -4.555902335100665e-99 | -1.0298220108093915e-109 |
| 4.0ms | -1.993187883869604e-18 | -3.2183588372676937e-22 |
| 37.0ms | 160× | 1 | valid |
| 3.0ms | 16× | 0 | valid |
Compiled 717 to 433 computations (39.6% saved)
ival-exp: 8.0ms (26.8% of total)ival-fmod: 8.0ms (26.8% of total)ival-mult: 3.0ms (10.1% of total)ival-cos: 3.0ms (10.1% of total)ival-sqrt: 3.0ms (10.1% of total)backward-pass: 3.0ms (10.1% of total)ival-neg: 2.0ms (6.7% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 92.0ms | -4.555902335100665e-99 | -1.0298220108093915e-109 |
| 2.0ms | -1.993187883869604e-18 | -3.2183588372676937e-22 |
| 46.0ms | 160× | 1 | valid |
| 2.0ms | 16× | 0 | valid |
Compiled 687 to 413 computations (39.9% saved)
ival-fmod: 16.0ms (42.5% of total)ival-exp: 9.0ms (23.9% of total)ival-cos: 3.0ms (8% of total)ival-sqrt: 3.0ms (8% of total)backward-pass: 3.0ms (8% of total)ival-mult: 2.0ms (5.3% of total)ival-neg: 2.0ms (5.3% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 57.0ms | -4.343886593720949e-306 | 1.3987722177867925e-306 |
| 27.0ms | 48× | 2 | valid |
| 23.0ms | 80× | 1 | valid |
Compiled 191 to 123 computations (35.6% saved)
ival-exp: 19.0ms (47.4% of total)ival-fmod: 9.0ms (22.5% of total)ival-cos: 3.0ms (7.5% of total)backward-pass: 3.0ms (7.5% of total)ival-sqrt: 3.0ms (7.5% of total)ival-mult: 2.0ms (5% of total)ival-neg: 1.0ms (2.5% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 364× | unsub-neg_binary64 |
| 330× | distribute-lft-neg-in_binary64 |
| 250× | neg-mul-1_binary64 |
| 210× | cancel-sign-sub_binary64 |
| 168× | neg-sub0_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 318 |
| 1 | 113 | 316 |
| 2 | 141 | 316 |
| 3 | 170 | 314 |
| 4 | 222 | 314 |
| 5 | 284 | 314 |
| 6 | 375 | 314 |
| 7 | 682 | 314 |
| 8 | 947 | 314 |
| 9 | 1078 | 314 |
| 10 | 1191 | 314 |
| 11 | 1257 | 314 |
| 12 | 1302 | 314 |
| 13 | 1307 | 314 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (exp.f64 x)) (/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)))) |
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (exp.f64 x)) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)))) |
(if (<=.f64 x #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (/.f64 (fmod.f64 (*.f64 (+.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)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)))) |
(if (<=.f64 x #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (/.f64 (fmod.f64 (*.f64 (+.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)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (fmod.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (fmod.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (exp.f64 x)) (/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)))) |
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))))) (exp.f64 x)) (/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x)))) |
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (exp.f64 x)) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)))) |
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))))) (exp.f64 x)) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)))) |
(if (<=.f64 x #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (/.f64 (fmod.f64 (*.f64 (+.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)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)))) |
(if (<=.f64 x #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (/.f64 (fmod.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (/.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 -1/6 binary64))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)))) |
(if (<=.f64 x #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (/.f64 (fmod.f64 (*.f64 (+.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)))) (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (fmod.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (/.f64 (fmod.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (/.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 -1/6 binary64))) (+.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))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (fmod.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) (fmod.f64 x #s(literal 1 binary64))) |
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 3714× | *-lowering-*.f32 |
| 3714× | *-lowering-*.f64 |
| 3180× | *-lowering-*.f32 |
| 3180× | *-lowering-*.f64 |
| 3044× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 350 | 4654 |
| 1 | 1178 | 3755 |
| 2 | 4564 | 3678 |
| 0 | 8015 | 3678 |
| 0 | 8 | 10 |
| 1 | 15 | 10 |
| 2 | 26 | 9 |
| 3 | 32 | 9 |
| 4 | 41 | 9 |
| 5 | 47 | 9 |
| 6 | 55 | 9 |
| 7 | 64 | 9 |
| 8 | 65 | 9 |
| 0 | 65 | 9 |
| 0 | 78 | 395 |
| 1 | 228 | 360 |
| 2 | 769 | 347 |
| 3 | 3498 | 334 |
| 0 | 8360 | 334 |
| 0 | 44 | 252 |
| 1 | 271 | 220 |
| 2 | 2483 | 219 |
| 0 | 8478 | 219 |
| 0 | 33 | 149 |
| 1 | 176 | 136 |
| 2 | 1352 | 117 |
| 0 | 9289 | 117 |
| 0 | 268 | 3343 |
| 1 | 911 | 2764 |
| 2 | 3150 | 2627 |
| 0 | 9402 | 2627 |
| 0 | 39 | 189 |
| 1 | 233 | 173 |
| 2 | 1951 | 173 |
| 0 | 8667 | 173 |
| 0 | 262 | 2504 |
| 1 | 865 | 2169 |
| 2 | 3071 | 2092 |
| 0 | 9697 | 2092 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 1219 to 653 computations (46.4% saved)
Compiled 652 to 160 computations (75.5% saved)
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