
Time bar (total: 20.2s)
| 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: 50.0ms (36.3% of total)ival-exp: 30.0ms (21.8% of total)ival-cos: 17.0ms (12.4% of total)ival-sqrt: 17.0ms (12.4% of total)ival-mult: 11.0ms (8% of total)ival-neg: 11.0ms (8% of total)const: 1.0ms (0.7% of total)backward-pass: 1.0ms (0.7% of total)| 3.9s | 1523× | 5 | exit |
| 1.3s | 4863× | 1 | valid |
| 593.0ms | 1345× | 2 | valid |
| 392.0ms | 3285× | 0 | invalid |
| 235.0ms | 2048× | 0 | valid |
ival-cos: 3.2s (55.3% of total)ival-fmod: 900.0ms (15.5% of total)ival-exp: 715.0ms (12.3% of total)ival-sqrt: 441.0ms (7.6% of total)backward-pass: 236.0ms (4.1% of total)ival-mult: 166.0ms (2.9% of total)ival-neg: 129.0ms (2.2% 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 |
|---|---|---|---|---|---|
| 202 | 0 | - | 202 | (1.1025317456994661e-204) | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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 | - | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (cos.f64 x)) |
| 275.0ms | 306× | 1 | valid |
| 253.0ms | 90× | 5 | exit |
| 41.0ms | 86× | 2 | valid |
| 4.0ms | 30× | 0 | valid |
Compiled 73 to 26 computations (64.4% saved)
ival-cos: 207.0ms (46.1% of total)ival-fmod: 115.0ms (25.6% of total)ival-exp: 77.0ms (17.1% of total)backward-pass: 21.0ms (4.7% of total)ival-sqrt: 15.0ms (3.3% of total)ival-mult: 9.0ms (2% 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 |
|---|---|---|
| ▶ | 8.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| ▶ | 8.2% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 21 to 14 computations (33.3% saved)
| 1× | egg-herbie |
Found 8 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)) |
| ✓ | 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 | 64 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 24× | *-lowering-*.f32 |
| 24× | *-lowering-*.f64 |
| 12× | /-lowering-/.f32 |
| 12× | /-lowering-/.f64 |
| 8× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 53 |
| 1 | 16 | 53 |
| 2 | 27 | 51 |
| 3 | 32 | 51 |
| 4 | 41 | 51 |
| 5 | 47 | 51 |
| 6 | 55 | 51 |
| 7 | 64 | 51 |
| 8 | 65 | 51 |
| 0 | 65 | 51 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
x |
(sqrt (cos x)) |
(cos x) |
(exp (neg x)) |
(neg x) |
(/ (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 (neg x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp x) |
(exp.f64 x) |
x |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
(/ (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 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (cos.f64 x)) |
| ✓ | accuracy | 100.0% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| ✓ | accuracy | 25.7% | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (cos.f64 x)) |
| ✓ | accuracy | 25.7% | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 137.0ms | 45× | 5 | exit |
| 62.0ms | 153× | 1 | valid |
| 24.0ms | 43× | 2 | valid |
| 2.0ms | 15× | 0 | valid |
Compiled 54 to 10 computations (81.5% saved)
ival-cos: 99.0ms (57.9% of total)ival-exp: 22.0ms (12.9% of total)ival-fmod: 19.0ms (11.1% of total)backward-pass: 11.0ms (6.4% of total)ival-sqrt: 8.0ms (4.7% of total)ival-div: 5.0ms (2.9% of total)ival-mult: 5.0ms (2.9% of total)ival-neg: 2.0ms (1.2% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (exp x)> |
#<alt (sqrt (cos x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (cos x)> |
| Outputs |
|---|
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (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)> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
| 0.0ms | x | @ | -inf | (/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
| 0.0ms | x | @ | -inf | (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
| 0.0ms | x | @ | inf | (/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
| 0.0ms | x | @ | inf | (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
| 1× | batch-egg-rewrite |
| 1042× | *-lowering-*.f32 |
| 1042× | *-lowering-*.f64 |
| 1008× | /-lowering-/.f32 |
| 1008× | /-lowering-/.f64 |
| 328× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 1 | 23 | 31 |
| 2 | 85 | 31 |
| 3 | 406 | 31 |
| 0 | 3030 | 31 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(sqrt (cos x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp 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 #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))) (exp.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(/.f64 (-.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 (-.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)))) |
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(*.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))) |
(+.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 #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))) (exp.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(/.f64 (-.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 (-.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 #s(literal 1 binary64) (exp.f64 x)) (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 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))) |
(*.f64 (-.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))) (-.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 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) |
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(*.f64 (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 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 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 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.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)) |
(exp.f64 (log.f64 (cos.f64 x))) |
(cos.f64 x) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64))) (*.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64)))) |
(-.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x))) |
| 1× | egg-herbie |
| 2200× | *-lowering-*.f32 |
| 2200× | *-lowering-*.f64 |
| 1946× | fmsub-define |
| 1928× | fma-lowering-fma.f32 |
| 1928× | fma-lowering-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 557 |
| 1 | 285 | 507 |
| 2 | 929 | 481 |
| 3 | 4019 | 471 |
| 0 | 8490 | 471 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
| Outputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64))))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.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) (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 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64))))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 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 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) |
Compiled 6626 to 580 computations (91.2% saved)
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 407 | 14 | 421 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 407 | 16 | 423 |
| Status | Accuracy | Program |
|---|---|---|
| 7.5% | (/.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)) | |
| 7.6% | (/.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))))))))) (exp.f64 x)) | |
| 7.4% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x)) | |
| ▶ | 7.7% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x)) |
| 7.4% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (exp.f64 x)) | |
| 8.1% | (/.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))))) | |
| ✓ | 8.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| ▶ | 6.9% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| ▶ | 21.7% | (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| ▶ | 7.6% | (*.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))))))))) (exp.f64 (neg.f64 x))) |
| ▶ | 7.4% | (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))) |
| 6.7% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) | |
| ✓ | 8.2% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 6.8% | (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) | |
| 8.1% | (*.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)))) | |
| 8.2% | (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))))))) |
Compiled 497 to 330 computations (33.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) |
| ✓ | cost-diff | 0 | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x)) |
| ✓ | 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 | 64 | (*.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 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) |
| ✓ | cost-diff | 64 | (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))) |
| ✓ | 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 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (cos.f64 x)) |
| ✓ | cost-diff | 0 | (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| 4320× | sum5-define |
| 2848× | sum4-define |
| 2406× | sum3-define |
| 1984× | fma-define |
| 1348× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 390 |
| 1 | 102 | 352 |
| 2 | 289 | 350 |
| 3 | 762 | 350 |
| 4 | 1839 | 350 |
| 5 | 2767 | 350 |
| 6 | 3118 | 350 |
| 7 | 6171 | 350 |
| 8 | 7240 | 350 |
| 9 | 7370 | 350 |
| 10 | 7373 | 350 |
| 11 | 7373 | 350 |
| 0 | 8589 | 350 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(fmod 1 (sqrt (cos x))) |
1 |
(sqrt (cos x)) |
(cos x) |
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)))) (exp (neg x))) |
(fmod (exp x) (+ 1 (* x (* x -1/4)))) |
(exp x) |
x |
(+ 1 (* x (* x -1/4))) |
1 |
(* x (* x -1/4)) |
(* x -1/4) |
-1/4 |
(exp (neg x)) |
(neg x) |
(* (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp (neg 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 |
(exp (neg x)) |
(neg x) |
(/ (fmod (exp x) (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))) (exp x)) |
(fmod (exp x) (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))) |
(exp x) |
x |
(sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))))) |
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))) |
1 |
(* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))) |
(* x x) |
(+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))) |
-1/2 |
(* x (* x (+ 1/24 (* (* x x) -1/720)))) |
(* x (+ 1/24 (* (* x x) -1/720))) |
(+ 1/24 (* (* x x) -1/720)) |
1/24 |
(* (* x x) -1/720) |
-1/720 |
| Outputs |
|---|
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
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)))) (exp (neg x))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) |
(fmod (exp x) (+ 1 (* x (* x -1/4)))) |
(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 (* x (* x -1/4))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(* x (* x -1/4)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 x x)) |
(* x -1/4) |
(*.f64 x #s(literal -1/4 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
(* (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp (neg 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) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
(/ (fmod (exp x) (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x)) |
(fmod (exp x) (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) |
(exp x) |
(exp.f64 x) |
x |
(sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))) |
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))) |
(*.f64 (*.f64 x 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))))))) |
(* x x) |
(*.f64 x x) |
(+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))) |
(+.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)))))) |
-1/2 |
#s(literal -1/2 binary64) |
(* x (* x (+ 1/24 (* (* x x) -1/720)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(* x (+ 1/24 (* (* x x) -1/720))) |
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(+ 1/24 (* (* x x) -1/720)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
1/24 |
#s(literal 1/24 binary64) |
(* (* x x) -1/720) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
-1/720 |
#s(literal -1/720 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
| ✓ | accuracy | 26.1% | (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.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 | 26.1% | (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 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 26.1% | (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| ✓ | accuracy | 26.1% | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (cos.f64 x)) |
| ✓ | accuracy | 100.0% | (/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| ✓ | accuracy | 59.7% | (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
| 276.0ms | 160× | 1 | valid |
| 103.0ms | 43× | 2 | valid |
| 54.0ms | 46× | 0 | invalid |
| 4.0ms | 7× | 0 | valid |
Compiled 392 to 43 computations (89% saved)
ival-fmod: 77.0ms (23.5% of total)...c/correct-round.rkt:119:19: 59.0ms (18% of total)ival-mult: 58.0ms (17.7% of total)ival-add: 44.0ms (13.4% of total)backward-pass: 22.0ms (6.7% of total)ival-cos: 22.0ms (6.7% of total)ival-exp: 19.0ms (5.8% of total)ival-sqrt: 11.0ms (3.4% of total)ival-div: 11.0ms (3.4% of total)ival-neg: 2.0ms (0.6% of total)const: 1.0ms (0.3% of total)| Inputs |
|---|
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (sqrt (cos x))> |
#<alt (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)))) (exp (neg x)))> |
#<alt (fmod (exp x) (+ 1 (* x (* x -1/4))))> |
#<alt (+ 1 (* x (* x -1/4)))> |
#<alt (* (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp (neg 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 (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))) (exp x))> |
#<alt (fmod (exp x) (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))))))> |
#<alt (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))> |
#<alt (exp (neg x))> |
#<alt (* x (+ -1/96 (* (* x x) -19/5760)))> |
#<alt (* x (* x (+ -1/96 (* (* x x) -19/5760))))> |
#<alt (* (* x x) -19/5760)> |
#<alt (* x (+ 1/24 (* (* x x) -1/720)))> |
#<alt (* (* x x) -1/720)> |
#<alt (* x (* x (+ 1/24 (* (* x x) -1/720))))> |
| Outputs |
|---|
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x)))))) (+ (* -1/2 (fmod 1 (sqrt (cos x)))) (* 1/6 (fmod 1 (sqrt (cos x)))))))) (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))> |
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod 1 (sqrt (cos x))) (exp x))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt (fmod 1 (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (fmod (exp x) 1)> |
#<alt (+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))> |
#<alt (+ (* x (- (* -1 (* 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 (* -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 (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* x (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* 1/2 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))> |
#<alt (* (exp (* -1 x)) (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 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))> |
#<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 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (* 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 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* x (+ (* -1/6 (* x (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)))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2)))))> |
#<alt (* (exp (* -1 x)) (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 (* (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 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))))) (+ (* -1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/6 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))))))) (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))> |
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x))> |
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))> |
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))> |
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))> |
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))> |
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))> |
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))> |
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))> |
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))> |
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))> |
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))> |
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2))))))> |
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (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 (* (pow x 3) (sqrt -1/720))> |
#<alt (* (pow x 3) (+ (sqrt -1/720) (* 1/48 (/ 1 (* (pow x 2) (sqrt -1/720))))))> |
#<alt (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720))))))> |
#<alt (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (+ (* 1/2 (/ (- 1 (* -1/48 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (pow (sqrt -1/720) 2)))) (* (pow x 6) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720)))))))> |
#<alt (* -1 (* (pow x 3) (sqrt -1/720)))> |
#<alt (* -1 (* (pow x 3) (+ (sqrt -1/720) (* 1/48 (/ 1 (* (pow x 2) (sqrt -1/720)))))))> |
#<alt (* -1 (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720)))))))> |
#<alt (* -1 (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (+ (* 1/2 (/ (- 1 (* -1/48 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (pow (sqrt -1/720) 2)))) (* (pow x 6) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (* -1/96 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 (* -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 (* -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 (* 1/24 x)> |
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp (neg x))) |
| 1.0ms | x | @ | inf | (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))))) |
| 1.0ms | x | @ | 0 | (/ (fmod 1 (sqrt (cos x))) (exp x)) |
| 1.0ms | x | @ | 0 | (/ (fmod (exp x) (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))) (exp x)) |
| 1.0ms | x | @ | inf | (/ (fmod (exp x) (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))) (exp x)) |
| 1× | batch-egg-rewrite |
| 4148× | *-lowering-*.f32 |
| 4148× | *-lowering-*.f64 |
| 3116× | /-lowering-/.f32 |
| 3116× | /-lowering-/.f64 |
| 2356× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 251 |
| 1 | 212 | 224 |
| 2 | 1735 | 224 |
| 0 | 8319 | 224 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(fmod 1 (sqrt (cos x))) |
(sqrt (cos x)) |
(cos x) |
(/ (fmod (exp x) 1) (exp x)) |
(fmod (exp x) 1) |
(exp x) |
(* (fmod (exp x) (+ 1 (* x (* x -1/4)))) (exp (neg x))) |
(fmod (exp x) (+ 1 (* x (* x -1/4)))) |
(+ 1 (* x (* x -1/4))) |
(* (fmod (exp x) (+ 1 (* (* x x) (+ -1/4 (* x (* x (+ -1/96 (* (* x x) -19/5760)))))))) (exp (neg 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 (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))) (exp x)) |
(fmod (exp x) (sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))))) |
(sqrt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))))) |
(exp (neg x)) |
(* x (+ -1/96 (* (* x x) -19/5760))) |
(* x (* x (+ -1/96 (* (* x x) -19/5760)))) |
(* (* x x) -19/5760) |
(* x (+ 1/24 (* (* x x) -1/720))) |
(* (* x x) -1/720) |
(* x (* x (+ 1/24 (* (* x x) -1/720)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(neg.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 #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 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(/.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(fmod.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
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(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/720 binary64)) x) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) x)) |
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) x)) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64))))) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64)))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) x) |
| 1× | egg-herbie |
| 3468× | *-lowering-*.f32 |
| 3468× | *-lowering-*.f64 |
| 2816× | +-lowering-+.f64 |
| 2816× | +-lowering-+.f32 |
| 1208× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 280 | 3440 |
| 1 | 910 | 3034 |
| 2 | 3278 | 2951 |
| 0 | 9016 | 2951 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod 1 (sqrt (cos x))) |
(+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x)))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x)))))) (+ (* -1/2 (fmod 1 (sqrt (cos x)))) (* 1/6 (fmod 1 (sqrt (cos x)))))))) (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x)))) |
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
(fmod 1 (sqrt (cos x))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(fmod (exp x) 1) |
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1)) |
(+ (* x (- (* -1 (* 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 (* -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 (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (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 (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* 1/2 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) |
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) |
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) |
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) |
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) |
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) |
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) |
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) |
(* (exp (* -1 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)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
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 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* 1/2 (* 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 (fmod (exp x) (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))))) (* x (+ (* -1/6 (* x (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))))) |
(* (exp (neg x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) |
(* (exp (neg x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) |
(* (exp (neg x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) |
(* (exp (neg x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) |
(* (exp (* -1 x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) |
(* (exp (* -1 x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) |
(* (exp (* -1 x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (pow x 2))))) |
(* (exp (* -1 x)) (fmod (exp x) (- (+ 1 (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2)))))) (* 1/4 (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))))))) |
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))))) (+ (* -1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/6 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))))))) (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))) |
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x)) |
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x)) |
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x)) |
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x)) |
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x)) |
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x)) |
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x)) |
(/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) (exp x)) |
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) |
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) |
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) |
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) |
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) |
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) |
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (pow x 2)))))) |
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (+ (* 1/720 (pow x 6)) (* 1/2 (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))) |
(* (pow x 3) (sqrt -1/720)) |
(* (pow x 3) (+ (sqrt -1/720) (* 1/48 (/ 1 (* (pow x 2) (sqrt -1/720)))))) |
(* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720)))))) |
(* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (+ (* 1/2 (/ (- 1 (* -1/48 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (pow (sqrt -1/720) 2)))) (* (pow x 6) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720))))))) |
(* -1 (* (pow x 3) (sqrt -1/720))) |
(* -1 (* (pow x 3) (+ (sqrt -1/720) (* 1/48 (/ 1 (* (pow x 2) (sqrt -1/720))))))) |
(* -1 (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720))))))) |
(* -1 (* (pow x 3) (+ (sqrt -1/720) (+ (* -1/2 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (* (pow x 4) (sqrt -1/720)))) (+ (* 1/2 (/ (- 1 (* -1/48 (/ (+ 1/2 (* 1/2304 (/ 1 (pow (sqrt -1/720) 2)))) (pow (sqrt -1/720) 2)))) (* (pow x 6) (sqrt -1/720)))) (/ 1/48 (* (pow x 2) (sqrt -1/720)))))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(* -1/96 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)))))) |
(* -1/96 (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)))))) |
(* -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)) |
(* 1/24 x) |
(* x (+ 1/24 (* -1/720 (pow x 2)))) |
(* x (+ 1/24 (* -1/720 (pow x 2)))) |
(* x (+ 1/24 (* -1/720 (pow x 2)))) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* -1/720 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) |
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) |
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) |
(* -1/720 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
| Outputs |
|---|
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x)))) |
(+.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x)))))) (+ (* -1/2 (fmod 1 (sqrt (cos x)))) (* 1/6 (fmod 1 (sqrt (cos x)))))))) (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x)))) |
(+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) #s(literal 0 binary64))))) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) |
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (fmod 1 (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
(fmod 1 (sqrt (cos x))) |
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(+.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 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 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 (*.f64 x 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) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1)) |
(+.f64 (*.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 (* -1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* 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 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* x (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* 1/2 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) |
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) |
(fmod (exp x) (+ 1 (* -1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(fmod (exp x) (+ 1 (* -1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(fmod (exp x) (+ 1 (* -1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(fmod (exp x) (+ 1 (* -1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
(fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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 (* -1/4 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(+ 1 (* -1/4 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(* -1/4 (pow x 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
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(* 1/24 x) |
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(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(* -1/720 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* -1/720 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
Compiled 19165 to 1852 computations (90.3% saved)
33 alts after pruning (27 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 667 | 23 | 690 |
| Fresh | 5 | 4 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 673 | 33 | 706 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 5.5% | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 17.6% | (/.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)) | |
| 7.7% | (/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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))))) (+.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)))))))))))) (exp.f64 x)) | |
| 7.6% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) | |
| 7.6% | (/.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)))))))) (exp.f64 x)) | |
| 7.5% | (/.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)) | |
| 7.4% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x)) | |
| 7.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))))))))) (exp.f64 x)) | |
| 6.7% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) | |
| ✓ | 7.7% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x)) |
| ✓ | 8.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| 6.4% | (/.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)))))))) | |
| 6.1% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) | |
| ✓ | 6.9% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| ▶ | 21.3% | (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
| 7.7% | (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))))) | |
| ▶ | 7.4% | (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| 7.6% | (*.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 (neg.f64 x))) | |
| 6.9% | (*.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)))))))) | |
| ✓ | 7.6% | (*.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))))))))) (exp.f64 (neg.f64 x))) |
| 6.3% | (*.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) x)) | |
| ▶ | 6.9% | (*.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 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
| 6.7% | (*.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 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) | |
| ✓ | 7.4% | (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))) |
| ▶ | 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 (neg.f64 x))) |
| 7.6% | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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 #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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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 (*.f64 x (*.f64 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))))))) #s(literal 1 binary64))))))) (exp.f64 (neg.f64 x))) | |
| 2.9% | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (exp.f64 (neg.f64 x))) | |
| 7.7% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) | |
| 6.7% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) | |
| ✓ | 8.2% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 7.7% | (exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))))) #s(literal -1 binary64))) | |
| 6.9% | (exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64))) | |
| 8.2% | (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))))))) |
Compiled 1518 to 863 computations (43.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.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 | (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 | 64 | (*.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 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 64 | (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) |
| ✓ | cost-diff | 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 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
| 2130× | sum4-define |
| 2076× | sum3-define |
| 2052× | fma-lowering-fma.f32 |
| 2052× | fma-lowering-fma.f64 |
| 1866× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 353 |
| 1 | 108 | 326 |
| 2 | 273 | 312 |
| 3 | 688 | 312 |
| 4 | 1900 | 312 |
| 5 | 4861 | 312 |
| 0 | 8008 | 312 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (fmod 1 1) (exp x)) |
(fmod 1 1) |
1 |
(exp x) |
x |
(fmod (exp x) 1) |
(exp x) |
x |
1 |
(* (fmod (exp x) (+ 1 (* x (* x -1/4)))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6))))))) |
(fmod (exp x) (+ 1 (* x (* x -1/4)))) |
(exp x) |
x |
(+ 1 (* x (* x -1/4))) |
1 |
(* x (* x -1/4)) |
(* x -1/4) |
-1/4 |
(+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))) |
(* x (+ -1 (* x (+ 1/2 (* x -1/6))))) |
(+ -1 (* x (+ 1/2 (* x -1/6)))) |
-1 |
(* x (+ 1/2 (* x -1/6))) |
(+ 1/2 (* x -1/6)) |
1/2 |
(* x -1/6) |
-1/6 |
(* (fmod (exp x) (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))) (exp (neg x))) |
(fmod (exp x) (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))) |
(exp x) |
x |
(/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1)) |
(- (* 1/16 (* (* x x) (* x x))) 1) |
(* 1/16 (* (* x x) (* x x))) |
1/16 |
(* (* x x) (* x x)) |
(* x x) |
1 |
(- (* -1/4 (* x x)) 1) |
(* -1/4 (* x x)) |
-1/4 |
(exp (neg x)) |
(neg x) |
(* (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp (neg 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) |
(exp (neg x)) |
(neg x) |
| Outputs |
|---|
(/ (fmod 1 1) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
(fmod 1 1) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(exp x) |
(exp.f64 x) |
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)))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6))))))) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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)))))))) |
(fmod (exp x) (+ 1 (* x (* x -1/4)))) |
(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 (* x (* x -1/4))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(* x (* x -1/4)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 x x)) |
(* x -1/4) |
(*.f64 x #s(literal -1/4 binary64)) |
-1/4 |
#s(literal -1/4 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))))) |
-1 |
#s(literal -1 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) (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))) (exp (neg x))) |
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x)) |
(fmod (exp x) (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))) |
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(exp x) |
(exp.f64 x) |
x |
(/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1)) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(- (* 1/16 (* (* x x) (* x x))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))))) |
(* 1/16 (* (* x x) (* x x))) |
(*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x)))) |
1/16 |
#s(literal 1/16 binary64) |
(* (* x x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x x) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
(- (* -1/4 (* x x)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(* -1/4 (* x x)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 x x)) |
-1/4 |
#s(literal -1/4 binary64) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
(* (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp (neg 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)) |
(fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) |
(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 x) |
(exp.f64 x) |
x |
(* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x 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)))) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
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) |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
| ✓ | accuracy | 36.2% | (*.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 | 30.0% | (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))))) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | accuracy | 25.7% | (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 25.7% | (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 25.7% | (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| 235.0ms | 162× | 1 | valid |
| 231.0ms | 45× | 5 | exit |
| 103.0ms | 43× | 2 | valid |
| 4.0ms | 6× | 0 | valid |
Compiled 363 to 46 computations (87.3% saved)
ival-fmod: 156.0ms (37.3% of total)ival-mult: 59.0ms (14.1% of total)...c/correct-round.rkt:119:19: 51.0ms (12.2% of total)backward-pass: 51.0ms (12.2% of total)ival-div: 32.0ms (7.7% of total)ival-exp: 19.0ms (4.5% of total)ival-add: 16.0ms (3.8% of total)ival-sub: 15.0ms (3.6% of total)ival-pow: 14.0ms (3.3% of total)ival-neg: 3.0ms (0.7% of total)const: 3.0ms (0.7% of total)| Inputs |
|---|
#<alt (/ (fmod 1 1) (exp x))> |
#<alt (fmod 1 1)> |
#<alt (exp x)> |
#<alt (fmod (exp x) 1)> |
#<alt (* (fmod (exp x) (+ 1 (* x (* x -1/4)))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))))> |
#<alt (fmod (exp x) (+ 1 (* x (* x -1/4))))> |
#<alt (+ 1 (* x (* x -1/4)))> |
#<alt (* (fmod (exp x) (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))) (exp (neg x)))> |
#<alt (fmod (exp x) (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1)))> |
#<alt (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))> |
#<alt (* (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp (neg x)))> |
#<alt (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))))> |
#<alt (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))> |
#<alt (* x -1/6)> |
#<alt (* x (+ 1/2 (* x -1/6)))> |
#<alt (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))> |
#<alt (* (* x x) (* x x))> |
#<alt (/ 1/4 (* x x))> |
#<alt (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))> |
| Outputs |
|---|
#<alt (fmod 1 1)> |
#<alt (+ (* -1 (* x (fmod 1 1))) (fmod 1 1))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1)))) (+ (* -1/2 (fmod 1 1)) (* 1/6 (fmod 1 1)))))) (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1))> |
#<alt (/ (fmod 1 1) (exp x))> |
#<alt (/ (fmod 1 1) (exp x))> |
#<alt (/ (fmod 1 1) (exp x))> |
#<alt (/ (fmod 1 1) (exp x))> |
#<alt (/ (fmod 1 1) (exp x))> |
#<alt (/ (fmod 1 1) (exp x))> |
#<alt (/ (fmod 1 1) (exp x))> |
#<alt (/ (fmod 1 1) (exp 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 (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) 1)> |
#<alt (fmod (exp x) (+ 1 (* -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 (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* x (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* 1/2 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))> |
#<alt (* -1/6 (* (pow x 3) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))> |
#<alt (* (pow x 3) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x))))> |
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)))))> |
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (+ (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 3))))))> |
#<alt (* -1/6 (* (pow x 3) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) (* 1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) (* 1/6 (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 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))> |
#<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) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))) (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))) (* 1/2 (* x (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))))) (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))) (* x (+ (* -1/6 (* x (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))) (* 1/2 (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))))))) (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))))> |
#<alt (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))> |
#<alt (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))> |
#<alt (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))> |
#<alt (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))> |
#<alt (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))> |
#<alt (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))> |
#<alt (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))> |
#<alt (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))> |
#<alt (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))> |
#<alt (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))> |
#<alt (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))> |
#<alt (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))> |
#<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 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))> |
#<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 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (* 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 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* x (+ (* -1/6 (* x (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)))))))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4)))))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))> |
#<alt (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))> |
#<alt (* (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 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))> |
#<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 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/6 x)))> |
#<alt (* x (+ 1/2 (* -1/6 x)))> |
#<alt (* x (+ 1/2 (* -1/6 x)))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<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 (/ 1/4 (pow x 4))> |
#<alt (/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4))> |
#<alt (/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4))> |
#<alt (/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4))> |
#<alt (/ 1/96 (pow x 2))> |
#<alt (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ 1/96 (pow x 2))> |
#<alt (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/ (fmod 1 1) (exp x)) |
| 2.0ms | x | @ | 0 | (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))) |
| 1.0ms | x | @ | inf | (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1)) |
| 1.0ms | x | @ | 0 | (* (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp (neg x))) |
| 1.0ms | x | @ | inf | (* (fmod (exp x) (+ 1 (* x (* x -1/4)))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6))))))) |
| 1× | batch-egg-rewrite |
| 5374× | /-lowering-/.f32 |
| 5374× | /-lowering-/.f64 |
| 4788× | *-lowering-*.f32 |
| 4788× | *-lowering-*.f64 |
| 1516× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 198 |
| 1 | 242 | 170 |
| 2 | 2045 | 167 |
| 0 | 9579 | 167 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (fmod 1 1) (exp x)) |
(fmod 1 1) |
(exp x) |
(fmod (exp x) 1) |
(* (fmod (exp x) (+ 1 (* x (* x -1/4)))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6))))))) |
(fmod (exp x) (+ 1 (* x (* x -1/4)))) |
(+ 1 (* x (* x -1/4))) |
(* (fmod (exp x) (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))) (exp (neg x))) |
(fmod (exp x) (/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1))) |
(/ (- (* 1/16 (* (* x x) (* x x))) 1) (- (* -1/4 (* x x)) 1)) |
(* (fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) (exp (neg x))) |
(fmod (exp x) (* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x))))) |
(* (pow x 6) (- -19/5760 (/ (+ 1/96 (/ 1/4 (* x x))) (* x x)))) |
(* x -1/6) |
(* x (+ 1/2 (* x -1/6))) |
(* x (+ -1 (* x (+ 1/2 (* x -1/6))))) |
(* (* x x) (* x x)) |
(/ 1/4 (* x x)) |
(/ (+ 1/96 (/ 1/4 (* x x))) (* x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(neg.f64 (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 #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))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(/.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 #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))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(exp.f64 x) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))) |
(+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (-.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) #s(literal 2 binary64)) (-.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))))) |
(fma.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(fma.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))) |
(fma.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) x (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
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(*.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 #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 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) x) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x 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 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/4 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1/4 binary64) 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 (neg.f64 (/.f64 #s(literal 1/4 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) 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)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/9216 binary64) (-.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 1/9216 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)))) |
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (+.f64 #s(literal 1/884736 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/9216 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1/884736 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/9216 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 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 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/884736 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/9216 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/884736 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/9216 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/884736 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/9216 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/884736 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1/9216 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/884736 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/884736 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))) |
| 1× | egg-herbie |
| 4012× | *-lowering-*.f32 |
| 4012× | *-lowering-*.f64 |
| 2158× | +-lowering-+.f64 |
| 2158× | +-lowering-+.f32 |
| 1116× | fnmsub-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 2732 |
| 1 | 745 | 2430 |
| 2 | 2488 | 2312 |
| 3 | 7169 | 2312 |
| 0 | 8430 | 2312 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod 1 1) |
(+ (* -1 (* x (fmod 1 1))) (fmod 1 1)) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1)) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1)))) (+ (* -1/2 (fmod 1 1)) (* 1/6 (fmod 1 1)))))) (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1)) |
(/ (fmod 1 1) (exp x)) |
(/ (fmod 1 1) (exp x)) |
(/ (fmod 1 1) (exp x)) |
(/ (fmod 1 1) (exp x)) |
(/ (fmod 1 1) (exp x)) |
(/ (fmod 1 1) (exp x)) |
(/ (fmod 1 1) (exp x)) |
(/ (fmod 1 1) (exp 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) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) 1) |
(fmod (exp x) (+ 1 (* -1/4 (pow x 2)))) |
(+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) |
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (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 (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* 1/2 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) |
(* -1/6 (* (pow x 3) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) |
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)))) |
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x))))) |
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (+ (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 3)))))) |
(* -1/6 (* (pow x 3) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) (* 1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) (* 1/6 (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)))) |
(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
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) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))) |
(+ (* -1 (* x (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))) (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))) |
(+ (* x (+ (* -1 (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))) (* 1/2 (* x (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))))) (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))) |
(+ (* x (+ (* -1 (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))) (* x (+ (* -1/6 (* x (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))))) (* 1/2 (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))))))) (fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1)))) |
(* (exp (neg x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))) |
(* (exp (neg x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))) |
(* (exp (neg x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))) |
(* (exp (neg x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))) |
(* (exp (* -1 x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))) |
(* (exp (* -1 x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))) |
(* (exp (* -1 x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))) |
(* (exp (* -1 x)) (fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2))))))) |
(fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))) |
(fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))) |
(fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))) |
(fmod (exp x) (/ (- (* 1/16 (pow x 4)) 1) (- (* -1/4 (pow x 2)) 1))) |
(fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))) |
(fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))) |
(fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))) |
(fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))) |
(fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))) |
(fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))) |
(fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))) |
(fmod (exp x) (* -1 (/ (- (* 1/16 (pow x 4)) 1) (+ 1 (* 1/4 (pow x 2)))))) |
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 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 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* 1/2 (* 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 (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) (* x (+ (* -1/6 (* x (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))))))))) |
(* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(* (exp (* -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)))))))) |
(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)))))))) |
(* -1/4 (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)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/6 x))) |
(* x (+ 1/2 (* -1/6 x))) |
(* x (+ 1/2 (* -1/6 x))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(/ 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)) |
(/ 1/4 (pow x 4)) |
(/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4)) |
(/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4)) |
(/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4)) |
(/ 1/96 (pow x 2)) |
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ 1/96 (pow x 2)) |
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2)) |
| Outputs |
|---|
(fmod 1 1) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(+ (* -1 (* x (fmod 1 1))) (fmod 1 1)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1)) |
(+.f64 (*.f64 x (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1)))) (+ (* -1/2 (fmod 1 1)) (* 1/6 (fmod 1 1)))))) (+ (* -1 (fmod 1 1)) (* 1/2 (fmod 1 1))))) (fmod 1 1))) (fmod 1 1)) |
(+.f64 (*.f64 x (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))))) (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(/ (fmod 1 1) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod 1 1) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod 1 1) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod 1 1) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod 1 1) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod 1 1) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod 1 1) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
(/ (fmod 1 1) (exp x)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
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) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) 1) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(fmod (exp x) (+ 1 (* -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 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* 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 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* x (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* 1/2 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) |
(+.f64 (*.f64 x (*.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 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (*.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 #s(literal 0 binary64) x)))) |
(* -1/6 (* (pow x 3) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) |
(*.f64 (*.f64 x 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 -1/6 binary64)))) |
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) |
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (+ (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 3)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) 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))))) x)) x) x))) |
(* -1/6 (* (pow x 3) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) |
(*.f64 (*.f64 x 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 -1/6 binary64)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) (* 1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))))) |
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(fmod (exp x) (- 1 (* 1/4 (pow x 2)))) |
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1 |
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(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
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(/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))))))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))))))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))))))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))))))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))))))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))))))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))))))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (* -1 (* (pow x 6) (+ 19/5760 (+ (* 1/96 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 4))))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))))))) (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 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x 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 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x 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 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x 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 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x 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 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x 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 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x 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 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x 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 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x 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 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x 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 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x 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 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x 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 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))))))) |
(* -1/4 (pow x 2)) |
(*.f64 x (*.f64 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 (*.f64 x x) #s(literal -1/96 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)) |
(*.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)))))) |
(* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)) |
(*.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)))))) |
(* -19/5760 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64)) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(* (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))) (*.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))) (*.f64 x x)))) |
(* -19/5760 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64)) |
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(* (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))) (*.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))) (*.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)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/6 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) |
(* x (+ 1/2 (* -1/6 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) |
(* x (+ 1/2 (* -1/6 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(*.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)) x))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(/ 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)) |
(/ 1/4 (pow x 4)) |
(/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal 1/96 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal 1/96 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1/4 (* 1/96 (pow x 2))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal 1/96 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/ 1/96 (pow x 2)) |
(/.f64 #s(literal 1/96 binary64) (*.f64 x x)) |
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ 1/96 (pow x 2)) |
(/.f64 #s(literal 1/96 binary64) (*.f64 x x)) |
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) |
Compiled 25981 to 1995 computations (92.3% saved)
43 alts after pruning (36 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 712 | 20 | 732 |
| Fresh | 6 | 16 | 22 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 6 | 6 |
| Total | 722 | 43 | 765 |
| Status | Accuracy | Program |
|---|---|---|
| 15.7% | (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)) | |
| ▶ | 22.0% | (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| ▶ | 21.3% | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 7.7% | (/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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))))) (+.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)))))))))))) (exp.f64 x)) | |
| 7.6% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) | |
| ▶ | 7.6% | (/.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)))))))) (exp.f64 x)) |
| 7.5% | (/.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)) | |
| 7.4% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x)) | |
| 1.6% | (/.f64 (fmod.f64 (exp.f64 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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (exp.f64 x)) | |
| 7.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))))))))) (exp.f64 x)) | |
| ✓ | 7.7% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x)) |
| ✓ | 8.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| 6.4% | (/.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)))))))) | |
| 6.1% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) | |
| ✓ | 6.9% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| 7.7% | (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))))) | |
| 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 x (*.f64 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)))))))) | |
| 12.9% | (*.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 x (*.f64 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)))))))) | |
| 6.3% | (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))) | |
| 4.3% | (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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)))))))) | |
| 6.7% | (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) | |
| 4.1% | (*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x))) | |
| 3.5% | (*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 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 (neg.f64 x))) | |
| 6.9% | (*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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)))))))) | |
| 7.3% | (*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (exp.f64 (neg.f64 x))) | |
| 7.6% | (*.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 (neg.f64 x))) | |
| 6.9% | (*.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)))))))) | |
| ✓ | 7.6% | (*.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))))))))) (exp.f64 (neg.f64 x))) |
| ✓ | 6.9% | (*.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 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
| 6.7% | (*.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 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) | |
| ✓ | 7.4% | (*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))) |
| 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) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) (*.f64 x x))))) (exp.f64 (neg.f64 x))) | |
| 3.0% | (*.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 1/884736 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))) x))))) (exp.f64 (neg.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 binary64) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))) (exp.f64 (neg.f64 x))) | |
| 1.6% | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) #s(literal -1 binary64)))))) (exp.f64 (neg.f64 x))) | |
| ▶ | 7.6% | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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 #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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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 (*.f64 x (*.f64 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))))))) #s(literal 1 binary64))))))) (exp.f64 (neg.f64 x))) |
| 7.1% | (*.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 (neg.f64 x))) | |
| ▶ | 2.9% | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 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)))))))) |
| 7.7% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) | |
| ✓ | 8.2% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 19.5% | (*.f64 (fmod.f64 #s(literal 1 binary64) (*.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 (neg.f64 x))) | |
| 7.7% | (exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))))) #s(literal -1 binary64))) | |
| 6.9% | (exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
Compiled 2469 to 1357 computations (45% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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 #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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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 (*.f64 x (*.f64 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))))))) #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 128 | (fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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 #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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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 (*.f64 x (*.f64 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))))))) #s(literal 1 binary64))))))) |
| ✓ | cost-diff | 192 | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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 #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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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 (*.f64 x (*.f64 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))))))) #s(literal 1 binary64))))))) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 0 | (+.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))))))) |
| ✓ | 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 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))) (exp.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -1/4 binary64))) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 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)))))))) |
| ✓ | cost-diff | 0 | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 5398× | +-lowering-+.f64 |
| 5398× | +-lowering-+.f32 |
| 3408× | *-lowering-*.f32 |
| 3408× | *-lowering-*.f64 |
| 1348× | sum3-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 923 |
| 1 | 146 | 662 |
| 2 | 668 | 657 |
| 3 | 3794 | 651 |
| 4 | 7329 | 645 |
| 0 | 8078 | 645 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod (+ 1 x) 1) |
(+ 1 x) |
1 |
x |
(fmod 1 1) |
1 |
(* (fmod (exp x) (* x (* x -1/4))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6))))))) |
(fmod (exp x) (* x (* x -1/4))) |
(exp x) |
x |
(* x (* x -1/4)) |
(* x -1/4) |
-1/4 |
(+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))) |
1 |
(* x (+ -1 (* x (+ 1/2 (* x -1/6))))) |
(+ -1 (* x (+ 1/2 (* x -1/6)))) |
-1 |
(* x (+ 1/2 (* x -1/6))) |
(+ 1/2 (* x -1/6)) |
1/2 |
(* x -1/6) |
-1/6 |
(/ (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))) |
(+ -1/96 (* (* x x) -19/5760)) |
-1/96 |
(* (* x x) -19/5760) |
-19/5760 |
(* (fmod (exp x) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))) (exp (neg x))) |
(fmod (exp x) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))) |
(exp x) |
x |
(* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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))))) |
(+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -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) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))))) |
(* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) |
(* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))) |
(+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) |
-1/4 |
(* (* x x) (+ -1/96 (* (* x x) -19/5760))) |
(* x x) |
(+ -1/96 (* (* x x) -19/5760)) |
-1/96 |
(* (* x x) -19/5760) |
-19/5760 |
(* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) |
(* (* x x) (* x x)) |
(* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))) |
(/ 1 (+ 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)))) |
(+ 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))) |
(* (* 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)) |
(- (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) 1) |
(exp (neg x)) |
(neg x) |
| Outputs |
|---|
(fmod (+ 1 x) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(fmod 1 1) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* (fmod (exp x) (* x (* x -1/4))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6))))))) |
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 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)))))))) |
(fmod (exp x) (* x (* x -1/4))) |
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
(exp x) |
(exp.f64 x) |
x |
(* x (* x -1/4)) |
(*.f64 x (*.f64 x #s(literal -1/4 binary64))) |
(* x -1/4) |
(*.f64 x #s(literal -1/4 binary64)) |
-1/4 |
#s(literal -1/4 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)))))) |
(+ -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))))) |
-1 |
#s(literal -1 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) (+ 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 x (*.f64 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))))))))) (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 x (*.f64 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))))))))) |
(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 x (*.f64 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 |
#s(literal 1 binary64) |
(* (* x x) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))) |
(*.f64 x (*.f64 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 x) |
(*.f64 x x) |
(+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) |
(+.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))))) |
-1/4 |
#s(literal -1/4 binary64) |
(* (* x x) (+ -1/96 (* (* x x) -19/5760))) |
(*.f64 (*.f64 x 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) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))) (exp (neg x))) |
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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 (+.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 #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 x (*.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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 #s(literal -1 binary64) (*.f64 x (*.f64 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)))))))))))))) (exp.f64 x)) |
(fmod (exp x) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))) |
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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 (+.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 #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 x (*.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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 #s(literal -1 binary64) (*.f64 x (*.f64 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)))))))))))))) |
(exp x) |
(exp.f64 x) |
x |
(* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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 (+.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 #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 x (*.f64 x x))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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 #s(literal -1 binary64) (*.f64 x (*.f64 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 (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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 (+.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 #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 x (*.f64 x x))))))))) |
1 |
#s(literal 1 binary64) |
(* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))))) |
(*.f64 x (*.f64 (+.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 (+.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 #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 x (*.f64 x x)))))))) |
(* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) |
(*.f64 x (*.f64 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 (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))) |
(*.f64 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)))))) |
(+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) |
(+.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))))) |
-1/4 |
#s(literal -1/4 binary64) |
(* (* x x) (+ -1/96 (* (* x x) -19/5760))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ -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) |
(* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) |
(*.f64 (+.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 (+.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 x (*.f64 x x))))) |
(* (* x x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))) |
(*.f64 (+.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 #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 (+ 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)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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 #s(literal -1 binary64) (*.f64 x (*.f64 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 (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (- (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.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 #s(literal -1 binary64) (*.f64 x (*.f64 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 (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (- (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) 1)) |
(*.f64 x (*.f64 (+.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 #s(literal -1 binary64) (*.f64 x (*.f64 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 (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 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)))))))) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
| ✓ | accuracy | 25.7% | (fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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 #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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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 (*.f64 x (*.f64 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))))))) #s(literal 1 binary64))))))) |
| ✓ | accuracy | 100.0% | (*.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)))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) |
| ✓ | accuracy | 25.7% | (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)))))))) |
| ✓ | accuracy | 100.0% | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 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)))))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 30.5% | (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
| ✓ | accuracy | 100.0% | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 26.1% | (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 311.0ms | 162× | 1 | valid |
| 243.0ms | 45× | 5 | exit |
| 111.0ms | 43× | 2 | valid |
| 4.0ms | 6× | 0 | valid |
Compiled 936 to 48 computations (94.9% saved)
ival-fmod: 140.0ms (28% of total)ival-mult: 121.0ms (24.2% of total)backward-pass: 83.0ms (16.6% of total)...c/correct-round.rkt:119:19: 61.0ms (12.2% of total)ival-add: 43.0ms (8.6% of total)ival-exp: 32.0ms (6.4% of total)ival-div: 12.0ms (2.4% of total)ival-sub: 4.0ms (0.8% of total)ival-neg: 3.0ms (0.6% of total)const: 2.0ms (0.4% of total)| Inputs |
|---|
#<alt (fmod (+ 1 x) 1)> |
#<alt (+ 1 x)> |
#<alt (fmod 1 1)> |
#<alt (* (fmod (exp x) (* x (* x -1/4))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6)))))))> |
#<alt (fmod (exp x) (* x (* x -1/4)))> |
#<alt (exp x)> |
#<alt (* x (* x -1/4))> |
#<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) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))) (exp (neg x)))> |
#<alt (fmod (exp x) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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))))))> |
#<alt (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))> |
#<alt (* x -1/6)> |
#<alt (* x (+ 1/2 (* x -1/6)))> |
#<alt (* (* x x) (+ -1/96 (* (* x x) -19/5760)))> |
#<alt (* (* x x) -19/5760)> |
#<alt (* (* x x) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))> |
#<alt (* (* x x) (* x x))> |
| Outputs |
|---|
#<alt (fmod (+ 1 x) 1)> |
#<alt (fmod (+ 1 x) 1)> |
#<alt (fmod (+ 1 x) 1)> |
#<alt (fmod (+ 1 x) 1)> |
#<alt (fmod (+ 1 x) 1)> |
#<alt (fmod (+ 1 x) 1)> |
#<alt (fmod (+ 1 x) 1)> |
#<alt (fmod (+ 1 x) 1)> |
#<alt (fmod (- 1 (* -1 x)) 1)> |
#<alt (fmod (- 1 (* -1 x)) 1)> |
#<alt (fmod (- 1 (* -1 x)) 1)> |
#<alt (fmod (- 1 (* -1 x)) 1)> |
#<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 (fmod (exp x) (* -1/4 (pow x 2)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (* -1/4 (pow x 2))))) (fmod (exp x) (* -1/4 (pow x 2))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (* -1/4 (pow x 2)))) (* 1/2 (* x (fmod (exp x) (* -1/4 (pow x 2))))))) (fmod (exp x) (* -1/4 (pow x 2))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (* -1/4 (pow x 2)))) (* x (+ (* -1/6 (* x (fmod (exp x) (* -1/4 (pow x 2))))) (* 1/2 (fmod (exp x) (* -1/4 (pow x 2)))))))) (fmod (exp x) (* -1/4 (pow x 2))))> |
#<alt (* -1/6 (* (pow x 3) (fmod (exp x) (* -1/4 (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* -1/6 (fmod (exp x) (* -1/4 (pow x 2)))) (* 1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x))))> |
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (* -1/4 (pow x 2)))) (* 1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)))))> |
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (* -1/4 (pow x 2)))) (+ (* 1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (/ (fmod (exp x) (* -1/4 (pow x 2))) (pow x 3))))))> |
#<alt (* -1/6 (* (pow x 3) (fmod (exp x) (* -1/4 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (* 1/6 (fmod (exp x) (* -1/4 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (* 1/2 (fmod (exp x) (* -1/4 (pow x 2))))) x)) (* 1/6 (fmod (exp x) (* -1/4 (pow x 2)))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (fmod (exp x) (* -1/4 (pow x 2)))) x)) (* 1/2 (fmod (exp x) (* -1/4 (pow x 2))))) x)) (* 1/6 (fmod (exp x) (* -1/4 (pow x 2)))))))> |
#<alt (fmod (exp x) (* -1/4 (pow x 2)))> |
#<alt (fmod (exp x) (* -1/4 (pow x 2)))> |
#<alt (fmod (exp x) (* -1/4 (pow x 2)))> |
#<alt (fmod (exp x) (* -1/4 (pow x 2)))> |
#<alt (fmod (exp x) (* -1/4 (pow x 2)))> |
#<alt (fmod (exp x) (* -1/4 (pow x 2)))> |
#<alt (fmod (exp x) (* -1/4 (pow x 2)))> |
#<alt (fmod (exp x) (* -1/4 (pow x 2)))> |
#<alt (fmod (exp x) (* -1/4 (pow x 2)))> |
#<alt (fmod (exp x) (* -1/4 (pow x 2)))> |
#<alt (fmod (exp x) (* -1/4 (pow x 2)))> |
#<alt (fmod (exp x) (* -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 (* -1/4 (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 (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) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))> |
#<alt (+ (* -1 (* x (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))) (* 1/2 (* x (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))))) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))) (* x (+ (* -1/6 (* x (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))) (* 1/2 (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))))))) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))))> |
#<alt (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))> |
#<alt (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))> |
#<alt (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))> |
#<alt (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))> |
#<alt (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))> |
#<alt (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))> |
#<alt (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))> |
#<alt (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))> |
#<alt (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))> |
#<alt (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))> |
#<alt (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))> |
#<alt (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 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 (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/6 x)))> |
#<alt (* x (+ 1/2 (* -1/6 x)))> |
#<alt (* x (+ 1/2 (* -1/6 x)))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))> |
#<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 (* -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 (* -1/4 (pow x 2))> |
#<alt (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))> |
#<alt (* (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 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))> |
#<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 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* (fmod (exp x) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))) (exp (neg x))) |
| 1.0ms | x | @ | inf | (* (fmod (exp x) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))) (exp (neg x))) |
| 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 (exp x) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))) (exp (neg x))) |
| 1.0ms | x | @ | inf | (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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))))) |
| 1× | batch-egg-rewrite |
| 3388× | *-lowering-*.f32 |
| 3388× | *-lowering-*.f64 |
| 2138× | fma-lowering-fma.f32 |
| 2138× | fma-lowering-fma.f64 |
| 2110× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 228 |
| 1 | 283 | 201 |
| 2 | 2718 | 201 |
| 0 | 8248 | 201 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod (+ 1 x) 1) |
(+ 1 x) |
(fmod 1 1) |
(* (fmod (exp x) (* x (* x -1/4))) (+ 1 (* x (+ -1 (* x (+ 1/2 (* x -1/6))))))) |
(fmod (exp x) (* x (* x -1/4))) |
(exp x) |
(* x (* x -1/4)) |
(/ (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) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))) (exp (neg x))) |
(fmod (exp x) (* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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)))))) |
(* (+ 1 (* (* x (* x (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))) (* (* (* x x) (* x x)) (* (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760)))))))) (/ 1 (+ 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))))) |
(* x -1/6) |
(* x (+ 1/2 (* x -1/6))) |
(* (* x x) (+ -1/96 (* (* x x) -19/5760))) |
(* (* x x) -19/5760) |
(* (* x x) (+ -1/4 (* (* x x) (+ -1/96 (* (* x x) -19/5760))))) |
(* (* x x) (* x x)) |
| Outputs |
|---|
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (+.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 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
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(/.f64 (*.f64 (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) #s(literal -1/4 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))) (*.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 (neg.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) #s(literal -1/4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))) (neg.f64 (-.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 (neg.f64 (*.f64 (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) #s(literal -1/4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))) (*.f64 x x))) (neg.f64 (-.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 #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 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 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)))))) #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 (*.f64 x x) (*.f64 (+.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))))) #s(literal 1 binary64))) |
(*.f64 (+.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 x)) |
(*.f64 (*.f64 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) |
(*.f64 (*.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)))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.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 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 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) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
| 1× | egg-herbie |
| 3778× | *-lowering-*.f32 |
| 3778× | *-lowering-*.f64 |
| 2478× | +-lowering-+.f64 |
| 2478× | +-lowering-+.f32 |
| 986× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 4093 |
| 1 | 671 | 3518 |
| 2 | 2383 | 3316 |
| 0 | 8416 | 3316 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod (+ 1 x) 1) |
(fmod (+ 1 x) 1) |
(fmod (+ 1 x) 1) |
(fmod (+ 1 x) 1) |
(fmod (+ 1 x) 1) |
(fmod (+ 1 x) 1) |
(fmod (+ 1 x) 1) |
(fmod (+ 1 x) 1) |
(fmod (- 1 (* -1 x)) 1) |
(fmod (- 1 (* -1 x)) 1) |
(fmod (- 1 (* -1 x)) 1) |
(fmod (- 1 (* -1 x)) 1) |
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))) |
(fmod (exp x) (* -1/4 (pow x 2))) |
(+ (* -1 (* x (fmod (exp x) (* -1/4 (pow x 2))))) (fmod (exp x) (* -1/4 (pow x 2)))) |
(+ (* x (+ (* -1 (fmod (exp x) (* -1/4 (pow x 2)))) (* 1/2 (* x (fmod (exp x) (* -1/4 (pow x 2))))))) (fmod (exp x) (* -1/4 (pow x 2)))) |
(+ (* x (+ (* -1 (fmod (exp x) (* -1/4 (pow x 2)))) (* x (+ (* -1/6 (* x (fmod (exp x) (* -1/4 (pow x 2))))) (* 1/2 (fmod (exp x) (* -1/4 (pow x 2)))))))) (fmod (exp x) (* -1/4 (pow x 2)))) |
(* -1/6 (* (pow x 3) (fmod (exp x) (* -1/4 (pow x 2))))) |
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (* -1/4 (pow x 2)))) (* 1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)))) |
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (* -1/4 (pow x 2)))) (* 1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x))))) |
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (* -1/4 (pow x 2)))) (+ (* 1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (/ (fmod (exp x) (* -1/4 (pow x 2))) (pow x 3)))))) |
(* -1/6 (* (pow x 3) (fmod (exp x) (* -1/4 (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (* 1/6 (fmod (exp x) (* -1/4 (pow x 2))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (* 1/2 (fmod (exp x) (* -1/4 (pow x 2))))) x)) (* 1/6 (fmod (exp x) (* -1/4 (pow x 2))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (fmod (exp x) (* -1/4 (pow x 2)))) x)) (* 1/2 (fmod (exp x) (* -1/4 (pow x 2))))) x)) (* 1/6 (fmod (exp x) (* -1/4 (pow x 2))))))) |
(fmod (exp x) (* -1/4 (pow x 2))) |
(fmod (exp x) (* -1/4 (pow x 2))) |
(fmod (exp x) (* -1/4 (pow x 2))) |
(fmod (exp x) (* -1/4 (pow x 2))) |
(fmod (exp x) (* -1/4 (pow x 2))) |
(fmod (exp x) (* -1/4 (pow x 2))) |
(fmod (exp x) (* -1/4 (pow x 2))) |
(fmod (exp x) (* -1/4 (pow x 2))) |
(fmod (exp x) (* -1/4 (pow x 2))) |
(fmod (exp x) (* -1/4 (pow x 2))) |
(fmod (exp x) (* -1/4 (pow x 2))) |
(fmod (exp x) (* -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) |
(* -1/4 (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)) |
(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) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))) |
(+ (* -1 (* x (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))) |
(+ (* x (+ (* -1 (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))) (* 1/2 (* x (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))))) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))) |
(+ (* x (+ (* -1 (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))) (* x (+ (* -1/6 (* x (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))) (* 1/2 (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))))))) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))) |
(* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))) |
(* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))) |
(* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))) |
(* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))) |
(* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))) |
(* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))) |
(* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))) |
(* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 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))))))) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/6 x))) |
(* x (+ 1/2 (* -1/6 x))) |
(* x (+ 1/2 (* -1/6 x))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* -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)))))) |
(* -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)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
| Outputs |
|---|
(fmod (+ 1 x) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod (+ 1 x) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod (+ 1 x) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod (+ 1 x) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod (+ 1 x) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod (+ 1 x) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod (+ 1 x) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod (+ 1 x) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod (- 1 (* -1 x)) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod (- 1 (* -1 x)) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod (- 1 (* -1 x)) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod (- 1 (* -1 x)) 1) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
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) |
(fmod (exp x) (* -1/4 (pow x 2))) |
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) |
(+ (* -1 (* x (fmod (exp x) (* -1/4 (pow x 2))))) (fmod (exp x) (* -1/4 (pow x 2)))) |
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(+ (* x (+ (* -1 (fmod (exp x) (* -1/4 (pow x 2)))) (* 1/2 (* x (fmod (exp x) (* -1/4 (pow x 2))))))) (fmod (exp x) (* -1/4 (pow x 2)))) |
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(+ (* x (+ (* -1 (fmod (exp x) (* -1/4 (pow x 2)))) (* x (+ (* -1/6 (* x (fmod (exp x) (* -1/4 (pow x 2))))) (* 1/2 (fmod (exp x) (* -1/4 (pow x 2)))))))) (fmod (exp x) (* -1/4 (pow x 2)))) |
(+.f64 (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(* -1/6 (* (pow x 3) (fmod (exp x) (* -1/4 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x #s(literal -1/6 binary64)))) |
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (* -1/4 (pow x 2)))) (* 1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (* -1/4 (pow x 2)))) (* 1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) x))) |
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (* -1/4 (pow x 2)))) (+ (* 1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (/ (fmod (exp x) (* -1/4 (pow x 2))) (pow x 3)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/6 binary64)) (+.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) x)))) |
(* -1/6 (* (pow x 3) (fmod (exp x) (* -1/4 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x #s(literal -1/6 binary64)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (* 1/6 (fmod (exp x) (* -1/4 (pow x 2))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (* -1/4 (pow x 2))) x)) (* 1/2 (fmod (exp x) (* -1/4 (pow x 2))))) x)) (* 1/6 (fmod (exp x) (* -1/4 (pow x 2))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) x))) |
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1 |
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(+ (* -1 (* x (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))) |
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(+ (* x (+ (* -1 (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))) (* x (+ (* -1/6 (* x (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))))) (* 1/2 (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))))))) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1))))))) |
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(* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))) |
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(* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))) |
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(* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))) |
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(* (exp (neg x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))) |
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(* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))) |
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(* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))) |
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(* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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 #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 #s(literal 1 binary64) (*.f64 (-.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 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64)))))))))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2)))))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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 #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 #s(literal 1 binary64) (*.f64 (-.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 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64)))))))))) (exp.f64 x)) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))) |
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64))))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))) |
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64))))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))) |
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64))))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4) 3))) (+ 1 (* (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)) 1)))))) |
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64)))))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64))))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))) |
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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 #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 #s(literal 1 binary64) (*.f64 (-.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 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64)))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))) |
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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 #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 #s(literal 1 binary64) (*.f64 (-.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 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64)))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))) |
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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 #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 #s(literal 1 binary64) (*.f64 (-.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 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64)))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))) |
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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 #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 #s(literal 1 binary64) (*.f64 (-.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 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64)))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))) |
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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 #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 #s(literal 1 binary64) (*.f64 (-.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 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64)))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))) |
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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 #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 #s(literal 1 binary64) (*.f64 (-.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 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64)))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))) |
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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 #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 #s(literal 1 binary64) (*.f64 (-.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 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64)))))))))) |
(fmod (exp x) (/ (+ 1 (* (pow x 6) (pow (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) 3))) (+ 1 (* (pow x 2) (* (- (* -1 (* (pow x 2) (+ 1/96 (* 19/5760 (pow x 2))))) 1/4) (- (* -1 (* (pow x 4) (+ 1/96 (* 19/5760 (pow x 2))))) (+ 1 (* 1/4 (pow x 2))))))))) |
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.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 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.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 #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 #s(literal 1 binary64) (*.f64 (-.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 (*.f64 x x) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64)))))))))) |
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 x (*.f64 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 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 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)) (+.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))) (*.f64 x x)))) |
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (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 x) (*.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)) (+.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))) (*.f64 x x)))) |
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (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 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)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/6 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) |
(* x (+ 1/2 (* -1/6 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) |
(* x (+ 1/2 (* -1/6 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* -1/96 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/96 binary64)) |
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64))) |
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64))) |
(* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 binary64))) |
(* -19/5760 (pow x 4)) |
(*.f64 #s(literal -19/5760 binary64) (*.f64 (*.f64 x x) (*.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 (* (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)))) |
(* -19/5760 (pow x 4)) |
(*.f64 #s(literal -19/5760 binary64) (*.f64 (*.f64 x x) (*.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 (* (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)))) |
(* -19/5760 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -19/5760 binary64))) |
(* -19/5760 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -19/5760 binary64))) |
(* -19/5760 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -19/5760 binary64))) |
(* -19/5760 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -19/5760 binary64))) |
(* -19/5760 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -19/5760 binary64))) |
(* -19/5760 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -19/5760 binary64))) |
(* -19/5760 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -19/5760 binary64))) |
(* -19/5760 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -19/5760 binary64))) |
(* -19/5760 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -19/5760 binary64))) |
(* -19/5760 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -19/5760 binary64))) |
(* -19/5760 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -19/5760 binary64))) |
(* -19/5760 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -19/5760 binary64))) |
(* -1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/4 binary64))) |
(* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x 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 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #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 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal -19/5760 binary64))) #s(literal -1/96 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)) (+.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))) (*.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))) (*.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)) (+.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))) (*.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))) (*.f64 x x)))) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
Compiled 74178 to 2855 computations (96.2% saved)
45 alts after pruning (36 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 946 | 9 | 955 |
| Fresh | 4 | 27 | 31 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 6 | 7 |
| Total | 953 | 45 | 998 |
| Status | Accuracy | Program |
|---|---|---|
| 15.4% | (fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| 11.9% | (fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) | |
| 15.7% | (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)) | |
| ✓ | 22.0% | (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
| 11.9% | (fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)) | |
| 54.6% | (fmod.f64 x #s(literal 1 binary64)) | |
| ✓ | 21.3% | (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 7.7% | (/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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))))) (+.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)))))))))))) (exp.f64 x)) | |
| 7.6% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x)) | |
| 7.0% | (/.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 #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)))))))) | |
| ✓ | 7.6% | (/.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)))))))) (exp.f64 x)) |
| 7.5% | (/.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)) | |
| 7.4% | (/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x)) | |
| 7.6% | (/.f64 (fmod.f64 (exp.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.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 #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 #s(literal 1 binary64) (*.f64 (*.f64 (+.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 #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 (+.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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) (exp.f64 x)) | |
| 1.6% | (/.f64 (fmod.f64 (exp.f64 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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (exp.f64 x)) | |
| 7.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))))))))) (exp.f64 x)) | |
| ✓ | 7.7% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x)) |
| ✓ | 8.2% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| 6.4% | (/.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)))))))) | |
| 6.1% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) | |
| ✓ | 6.9% | (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
| 7.7% | (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))))) | |
| 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 x (*.f64 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)))))))) | |
| 12.9% | (*.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 x (*.f64 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)))))))) | |
| 6.3% | (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))) | |
| 4.3% | (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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)))))))) | |
| 6.7% | (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) | |
| 4.1% | (*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x))) | |
| 3.5% | (*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 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 (neg.f64 x))) | |
| 6.9% | (*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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)))))))) | |
| 7.3% | (*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (exp.f64 (neg.f64 x))) | |
| 7.6% | (*.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 (neg.f64 x))) | |
| ✓ | 7.6% | (*.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))))))))) (exp.f64 (neg.f64 x))) |
| ✓ | 6.9% | (*.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 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
| 6.7% | (*.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 (+.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) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) (*.f64 x x))))) (exp.f64 (neg.f64 x))) | |
| 3.0% | (*.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 1/884736 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))) x))))) (exp.f64 (neg.f64 x))) | |
| 1.6% | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) #s(literal -1 binary64)))))) (exp.f64 (neg.f64 x))) | |
| 7.1% | (*.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 (neg.f64 x))) | |
| 7.7% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) | |
| ✓ | 8.2% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 19.5% | (*.f64 (fmod.f64 #s(literal 1 binary64) (*.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 (neg.f64 x))) | |
| 3.3% | (*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))) | |
| 7.6% | (exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (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)))))))))) #s(literal -1 binary64))) | |
| 6.9% | (exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
Compiled 3079 to 1061 computations (65.5% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (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 x (*.f64 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 (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 #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)))))))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) 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) x)) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (exp.f64 x) (*.f64 x (*.f64 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 (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 (+.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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)))))))) |
(*.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)))))))) |
(/.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 #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 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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)))))))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (exp.f64 (neg.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 #s(literal 1 binary64) (*.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 (neg.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 #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)))))))) (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 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (fmod.f64 (exp.f64 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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (exp.f64 x)) |
(*.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 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 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 (*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 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 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.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 #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 #s(literal 1 binary64) (*.f64 (*.f64 (+.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 #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 (+.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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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 #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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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 (*.f64 x (*.f64 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))))))) #s(literal 1 binary64))))))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(*.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 (neg.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 binary64) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 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 (+.f64 #s(literal 1/884736 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))) x))))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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))))) (+.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)))))))))))) (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))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (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)))))))))) #s(literal -1 binary64))) |
(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 (*.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 (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 x #s(literal 6 binary64)) (-.f64 #s(literal -19/5760 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) #s(literal -1 binary64)))))) (exp.f64 (neg.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) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)))) (*.f64 x x))))) (exp.f64 (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))))) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 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 (neg.f64 x))) |
(*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x))) |
(*.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 (neg.f64 x))) |
(fmod.f64 x #s(literal 1 binary64)) |
2 calls:
| 20.0ms | x |
| 17.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 5 | x |
| 59.8% | 3 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (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 x (*.f64 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 (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 #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)))))))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) 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) x)) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (exp.f64 x) (*.f64 x (*.f64 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 (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 (+.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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)))))))) |
(*.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)))))))) |
(/.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 #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 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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)))))))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (exp.f64 (neg.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 #s(literal 1 binary64) (*.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 (neg.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 #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)))))))) (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 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (fmod.f64 (exp.f64 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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (exp.f64 x)) |
(*.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 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 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 (*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x))) |
| Outputs |
|---|
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x))) |
(*.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 (neg.f64 x))) |
(fmod.f64 x #s(literal 1 binary64)) |
1 calls:
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 4 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (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 x (*.f64 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 (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 #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)))))))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) 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) x)) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (exp.f64 x) (*.f64 x (*.f64 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 (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 (+.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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)))))))) |
(*.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)))))))) |
(/.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 #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 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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)))))))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (exp.f64 (neg.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 #s(literal 1 binary64) (*.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 (neg.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 #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)))))))) (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 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (fmod.f64 (exp.f64 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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (exp.f64 x)) |
(*.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 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.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 (neg.f64 x))) |
(fmod.f64 x #s(literal 1 binary64)) |
1 calls:
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (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 x (*.f64 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 (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 #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)))))))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) 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) x)) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (exp.f64 x) (*.f64 x (*.f64 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 (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 (+.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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)))))))) |
(*.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)))))))) |
(/.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 #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 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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)))))))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (exp.f64 (neg.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 #s(literal 1 binary64) (*.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 (neg.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 #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)))))))) (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 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/96 binary64) (*.f64 (*.f64 x x) #s(literal 19/5760 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (fmod.f64 (exp.f64 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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (exp.f64 x)) |
| Outputs |
|---|
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(fmod.f64 x #s(literal 1 binary64)) |
1 calls:
| 24.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.3% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (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 x (*.f64 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 (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 #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)))))))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) 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) x)) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))) |
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (exp.f64 x) (*.f64 x (*.f64 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 (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 (+.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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)))))))) |
(*.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)))))))) |
(/.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 #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 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x 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)))))))) |
| Outputs |
|---|
(/.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)))))))) |
(fmod.f64 x #s(literal 1 binary64)) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (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 x (*.f64 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 (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 #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)))))))) |
(fmod.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) 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) x)) |
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (exp.f64 x)) |
| Outputs |
|---|
(*.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 #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)))))))) |
(fmod.f64 x #s(literal 1 binary64)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (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 x (*.f64 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)))))))) |
| Outputs |
|---|
(*.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 x (*.f64 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)))))))) |
(fmod.f64 x #s(literal 1 binary64)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.7% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))) |
| Outputs |
|---|
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))) |
(fmod.f64 x #s(literal 1 binary64)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.5% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(fmod.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))) |
| Outputs |
|---|
(fmod.f64 x #s(literal 1 binary64)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.6% | 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 |
|---|---|---|
| 21.3% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 67.0ms | -3.2936032784920835e-106 | -2.6780223745465953e-109 |
| 31.0ms | -4.141255148434062e-53 | -2.954608249186456e-55 |
| 37.0ms | -6.638834200015752e-38 | -3.92547306562398e-43 |
| 21.0ms | -1.289693826453316e-14 | -3.9426195950431576e-21 |
| 119.0ms | 384× | 1 | valid |
| 15.0ms | 144× | 0 | valid |
Compiled 3154 to 1255 computations (60.2% saved)
ival-fmod: 54.0ms (48.4% of total)ival-exp: 22.0ms (19.7% of total)ival-cos: 11.0ms (9.9% of total)ival-sqrt: 7.0ms (6.3% of total)ival-mult: 6.0ms (5.4% of total)backward-pass: 5.0ms (4.5% of total)ival-neg: 5.0ms (4.5% of total)const: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | -3.2936032784920835e-106 | -2.6780223745465953e-109 |
| 32.0ms | -4.141255148434062e-53 | -2.954608249186456e-55 |
| 22.0ms | -1.289693826453316e-14 | -3.9426195950431576e-21 |
| 57.0ms | 240× | 1 | valid |
| 17.0ms | 144× | 0 | valid |
Compiled 1606 to 751 computations (53.2% saved)
ival-exp: 16.0ms (29.3% of total)ival-fmod: 15.0ms (27.5% of total)ival-cos: 8.0ms (14.7% of total)ival-sqrt: 5.0ms (9.2% of total)ival-mult: 4.0ms (7.3% of total)backward-pass: 3.0ms (5.5% of total)ival-neg: 3.0ms (5.5% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | -3.2936032784920835e-106 | -2.6780223745465953e-109 |
| 22.0ms | -1.289693826453316e-14 | -3.9426195950431576e-21 |
| 30.0ms | 128× | 1 | valid |
| 16.0ms | 144× | 0 | valid |
Compiled 714 to 403 computations (43.6% saved)
ival-exp: 11.0ms (31.9% of total)ival-fmod: 10.0ms (29% of total)ival-mult: 3.0ms (8.7% of total)ival-cos: 3.0ms (8.7% of total)ival-sqrt: 3.0ms (8.7% of total)backward-pass: 2.0ms (5.8% of total)ival-neg: 2.0ms (5.8% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 78.0ms | -6.215662345324056e-307 | 3.119334306921534e-301 |
| 56.0ms | 112× | 1 | valid |
| 17.0ms | 32× | 2 | valid |
Compiled 141 to 101 computations (28.4% saved)
ival-exp: 44.0ms (67.4% of total)ival-fmod: 10.0ms (15.3% of total)ival-cos: 3.0ms (4.6% of total)ival-sqrt: 3.0ms (4.6% of total)ival-mult: 2.0ms (3.1% of total)backward-pass: 2.0ms (3.1% of total)ival-neg: 1.0ms (1.5% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 59.0ms | -6.215662345324056e-307 | 3.119334306921534e-301 |
| 36.0ms | 112× | 1 | valid |
| 17.0ms | 32× | 2 | valid |
Compiled 240 to 173 computations (27.9% saved)
ival-exp: 18.0ms (42.4% of total)ival-fmod: 13.0ms (30.6% of total)ival-cos: 3.0ms (7.1% of total)ival-sqrt: 3.0ms (7.1% of total)ival-mult: 2.0ms (4.7% of total)backward-pass: 2.0ms (4.7% of total)ival-neg: 1.0ms (2.4% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 57.0ms | -6.215662345324056e-307 | 3.119334306921534e-301 |
| 35.0ms | 112× | 1 | valid |
| 17.0ms | 32× | 2 | valid |
Compiled 393 to 272 computations (30.8% saved)
ival-exp: 16.0ms (36.9% of total)ival-fmod: 15.0ms (34.6% of total)ival-mult: 3.0ms (6.9% of total)ival-cos: 3.0ms (6.9% of total)ival-sqrt: 3.0ms (6.9% of total)backward-pass: 2.0ms (4.6% of total)ival-neg: 1.0ms (2.3% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | -6.215662345324056e-307 | 3.119334306921534e-301 |
| 32.0ms | 112× | 1 | valid |
| 15.0ms | 32× | 2 | valid |
Compiled 357 to 245 computations (31.4% saved)
ival-exp: 17.0ms (43.8% of total)ival-fmod: 11.0ms (28.4% of total)ival-cos: 3.0ms (7.7% of total)ival-sqrt: 3.0ms (7.7% of total)ival-mult: 2.0ms (5.2% of total)backward-pass: 2.0ms (5.2% of total)ival-neg: 1.0ms (2.6% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 57.0ms | -6.215662345324056e-307 | 3.119334306921534e-301 |
| 33.0ms | 112× | 1 | valid |
| 18.0ms | 32× | 2 | valid |
Compiled 303 to 218 computations (28.1% saved)
ival-exp: 19.0ms (44.3% of total)ival-fmod: 10.0ms (23.3% of total)ival-sqrt: 6.0ms (14% of total)ival-cos: 3.0ms (7% of total)ival-mult: 2.0ms (4.7% of total)backward-pass: 2.0ms (4.7% of total)ival-neg: 1.0ms (2.3% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 82× | *-commutative_binary64 |
| 62× | +-commutative_binary64 |
| 36× | sub-neg_binary64 |
| 30× | neg-sub0_binary64 |
| 30× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 519 |
| 1 | 147 | 519 |
| 2 | 169 | 519 |
| 3 | 206 | 519 |
| 4 | 239 | 519 |
| 5 | 260 | 519 |
| 6 | 268 | 519 |
| 7 | 270 | 519 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -6436481271636733/3064991081731777716716694054300618367237478244367204352 binary64)) (*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 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 (neg.f64 x))) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x))) (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 (neg.f64 x))) (fmod.f64 x #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x))) (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 (neg.f64 x))) (fmod.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (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 (neg.f64 x))) (fmod.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (fmod.f64 x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))))))) (fmod.f64 x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 x (*.f64 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)))))))) (fmod.f64 x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 x (*.f64 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)))))))) (fmod.f64 x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))) (fmod.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 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -6436481271636733/3064991081731777716716694054300618367237478244367204352 binary64)) (*.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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 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 (neg.f64 x))) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x))) (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 (neg.f64 x))) (fmod.f64 x #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -6436481271636733/3064991081731777716716694054300618367237478244367204352 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal -6859/191102976000 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 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 (/.f64 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -19/5760 binary64)))))) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.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)) #s(literal -19/5760 binary64))))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.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))))))) (fmod.f64 x #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.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 (neg.f64 x))) (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 (neg.f64 x))) (fmod.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -4003012881138527/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fmod.f64 (exp.f64 x) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 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 (+.f64 #s(literal 1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.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)) #s(literal -19/5760 binary64))))) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.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))))))) (fmod.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (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 (neg.f64 x))) (fmod.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -7139404462934685/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.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))))))) (fmod.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (fmod.f64 x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))))))) (fmod.f64 x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 x (*.f64 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)))))))) (fmod.f64 x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 x (*.f64 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)))))))) (fmod.f64 x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))))))) (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 x (*.f64 x #s(literal -1/4 binary64)))))) (fmod.f64 x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))) (fmod.f64 x #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))))))) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (fmod.f64 x #s(literal 1 binary64))) |
(fmod.f64 x #s(literal 1 binary64)) |
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 5374× | /-lowering-/.f32 |
| 5374× | /-lowering-/.f64 |
| 4788× | *-lowering-*.f32 |
| 4788× | *-lowering-*.f64 |
| 4012× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 557 |
| 1 | 285 | 507 |
| 2 | 929 | 481 |
| 3 | 4019 | 471 |
| 0 | 8490 | 471 |
| 0 | 45 | 198 |
| 1 | 242 | 170 |
| 2 | 2045 | 167 |
| 0 | 9579 | 167 |
| 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 | 208 | 4093 |
| 1 | 671 | 3518 |
| 2 | 2383 | 3316 |
| 0 | 8416 | 3316 |
| 0 | 227 | 2732 |
| 1 | 745 | 2430 |
| 2 | 2488 | 2312 |
| 3 | 7169 | 2312 |
| 0 | 8430 | 2312 |
| 0 | 280 | 3440 |
| 1 | 910 | 3034 |
| 2 | 3278 | 2951 |
| 0 | 9016 | 2951 |
| 1× | fuel |
| 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 |
| 1× | iter limit |
| 1× | node limit |
Compiled 1493 to 750 computations (49.8% saved)
Compiled 1074 to 212 computations (80.3% saved)
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