Time bar (total: 15.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 49.7% | 50.3% | 0% | 0% | 0% | 0 |
| 0% | 0% | 49.7% | 50.3% | 0% | 0% | 0% | 1 |
| 0% | 0% | 49.7% | 50.3% | 0% | 0% | 0% | 2 |
| 50% | 24.8% | 24.8% | 50.3% | 0% | 0% | 0% | 3 |
| 75% | 37.3% | 12.4% | 50.3% | 0% | 0% | 0% | 4 |
| 87.5% | 43.5% | 6.2% | 50.3% | 0% | 0% | 0% | 5 |
| 93.8% | 46.6% | 3.1% | 50.3% | 0% | 0% | 0% | 6 |
| 96.9% | 48.1% | 1.6% | 50.3% | 0% | 0% | 0% | 7 |
| 98.4% | 48.9% | 0.8% | 50.3% | 0% | 0% | 0% | 8 |
| 99.2% | 49.3% | 0.4% | 50.3% | 0% | 0% | 0% | 9 |
| 99.6% | 49.5% | 0.2% | 50.3% | 0% | 0% | 0% | 10 |
| 99.8% | 49.6% | 0.1% | 50.3% | 0% | 0% | 0% | 11 |
| 99.9% | 49.6% | 0% | 50.3% | 0% | 0% | 0% | 12 |
Compiled 16 to 12 computations (25% saved)
| 8.0s | 4146× | body | 2048 | valid |
| 1.1s | 2112× | body | 1024 | valid |
| 223.0ms | 985× | body | 512 | valid |
| 223.0ms | 239× | body | 4096 | valid |
| 136.0ms | 774× | body | 256 | valid |
| 2× | egg-herbie |
| 80× | fma-def |
| 48× | associate--r+ |
| 38× | associate-+l- |
| 28× | +-commutative |
| 24× | associate--l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 13 | 23 |
| 2 | 19 | 23 |
| 3 | 28 | 23 |
| 4 | 38 | 23 |
| 5 | 56 | 23 |
| 6 | 107 | 23 |
| 7 | 147 | 23 |
| 8 | 191 | 23 |
| 9 | 231 | 23 |
| 10 | 256 | 23 |
| 11 | 258 | 23 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
| Outputs |
|---|
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 80× | fma-def |
| 48× | associate--r+ |
| 38× | associate-+l- |
| 28× | +-commutative |
| 24× | associate--l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 13 | 23 |
| 2 | 19 | 23 |
| 3 | 28 | 23 |
| 4 | 38 | 23 |
| 5 | 56 | 23 |
| 6 | 107 | 23 |
| 7 | 147 | 23 |
| 8 | 191 | 23 |
| 9 | 231 | 23 |
| 10 | 256 | 23 |
| 11 | 258 | 23 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
| Outputs |
|---|
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
Compiled 17 to 12 computations (29.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 59.5b | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
Compiled 9 to 7 computations (22.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (tan.f64 x)) |
| ✓ | 2.9b | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
Compiled 20 to 12 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (tan.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (tan.f64 x)) |
| 1× | batch-egg-rewrite |
| 1544× | associate-*r/ |
| 1048× | associate-*l/ |
| 888× | *-commutative |
| 704× | associate-/r* |
| 404× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 34 |
| 1 | 198 | 34 |
| 2 | 2678 | 34 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
(/.f64 1 (tan.f64 x)) |
| Outputs |
|---|
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log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 -1 (tan.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 (tan.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) -1) (pow.f64 (sqrt.f64 (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (sin.f64 x))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (tan.f64 x) -1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 x)))))))) |
| 1× | egg-herbie |
| 1194× | associate-+r+ |
| 1006× | associate-+l+ |
| 826× | +-commutative |
| 562× | associate-+r- |
| 486× | associate-+l- |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 486 | 9548 |
| 1 | 1374 | 9100 |
| 2 | 5474 | 9036 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 x) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))) |
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(/.f64 1 x) |
(+.f64 (*.f64 -1/3 x) (/.f64 1 x)) |
(+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))) |
(+.f64 (*.f64 -2/945 (pow.f64 x 5)) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 1 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 1 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 1 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) 1)) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))) 1)) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))) 1)) |
(+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 x)) |
(+.f64 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))) |
(+.f64 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))) |
(+.f64 (/.f64 -1 (tan.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))) |
(+.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) (sqrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (*.f64 x (tan.f64 x)))) (sqrt.f64 (*.f64 x (tan.f64 x)))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x (tan.f64 x))) (cbrt.f64 (*.f64 x (tan.f64 x))))) (cbrt.f64 (*.f64 x (tan.f64 x)))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) |
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (/.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) x) (neg.f64 (tan.f64 x))) |
(/.f64 (/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) (neg.f64 x)) (tan.f64 x)) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)) (neg.f64 (tan.f64 x))) |
(pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) |
(fma.f64 1 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 -1 (tan.f64 x))) |
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 -1 (tan.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 x)))) 1) |
(*.f64 1 (/.f64 1 (tan.f64 x))) |
(*.f64 (/.f64 1 (tan.f64 x)) 1) |
(*.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 (tan.f64 x) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (cbrt.f64 (tan.f64 x)))) |
(*.f64 (/.f64 -1 (tan.f64 x)) -1) |
(*.f64 -1 (/.f64 -1 (tan.f64 x))) |
(*.f64 (cos.f64 x) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) -1) (pow.f64 (sqrt.f64 (tan.f64 x)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 x)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1)) |
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 -1 (neg.f64 (sin.f64 x))) (cos.f64 x)) |
(*.f64 (/.f64 (pow.f64 (tan.f64 x) -1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x))) |
(pow.f64 (tan.f64 x) -1) |
(pow.f64 (/.f64 1 (tan.f64 x)) 1) |
(pow.f64 (pow.f64 (tan.f64 x) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) 3) |
(pow.f64 (pow.f64 (tan.f64 x) -3) 1/3) |
(sqrt.f64 (pow.f64 (tan.f64 x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (tan.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 x))))) |
(cbrt.f64 (pow.f64 (tan.f64 x) -3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 x)))) |
(exp.f64 (neg.f64 (log.f64 (tan.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 x)))) |
| Outputs |
|---|
(*.f64 1/3 x) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) |
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) |
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))) |
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))) |
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/4725 (pow.f64 x 7))))) |
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) |
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x)) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x)) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x)) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x))) |
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) |
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x)) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x)) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x)) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x))) |
(/.f64 1 x) |
(+.f64 (*.f64 -1/3 x) (/.f64 1 x)) |
(fma.f64 -1/3 x (/.f64 1 x)) |
(fma.f64 x -1/3 (/.f64 1 x)) |
(+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))) |
(fma.f64 -1/45 (pow.f64 x 3) (fma.f64 -1/3 x (/.f64 1 x))) |
(fma.f64 (pow.f64 x 3) -1/45 (fma.f64 x -1/3 (/.f64 1 x))) |
(+.f64 (*.f64 -2/945 (pow.f64 x 5)) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))) |
(fma.f64 -2/945 (pow.f64 x 5) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 -1/3 x (/.f64 1 x)))) |
(fma.f64 (pow.f64 x 5) -2/945 (fma.f64 (pow.f64 x 3) -1/45 (fma.f64 x -1/3 (/.f64 1 x)))) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 (/.f64 -1 (tan.f64 x)) 0)) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 (/.f64 -1 (tan.f64 x)) 0)) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))) |
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))) (*.f64 (/.f64 -1 (tan.f64 x)) 0))) |
(+.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (tan.f64 x)) 0)) (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 (/.f64 -1 (tan.f64 x)) 0)) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (*.f64 (/.f64 -1 (tan.f64 x)) 0)) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))) |
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))) (*.f64 (/.f64 -1 (tan.f64 x)) 0))) |
(+.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (tan.f64 x)) 0)) (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (*.f64 2 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))) |
(fma.f64 2 (*.f64 (/.f64 -1 (tan.f64 x)) 0) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (*.f64 2 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))) |
(fma.f64 2 (*.f64 (/.f64 -1 (tan.f64 x)) 0) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))) (fma.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))) |
(+.f64 (+.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))) (*.f64 (/.f64 -1 (tan.f64 x)) 0)) (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (tan.f64 x)) 0))) |
(+.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))) (+.f64 (/.f64 1 x) (*.f64 (*.f64 (/.f64 -1 (tan.f64 x)) 0) 2))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (*.f64 2 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))) |
(fma.f64 2 (*.f64 (/.f64 -1 (tan.f64 x)) 0) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (*.f64 2 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))))) |
(fma.f64 2 (*.f64 (/.f64 -1 (tan.f64 x)) 0) (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))) |
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x)))) (fma.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))) |
(+.f64 (+.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))) (*.f64 (/.f64 -1 (tan.f64 x)) 0)) (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (tan.f64 x)) 0))) |
(+.f64 (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))) (+.f64 (/.f64 1 x) (*.f64 (*.f64 (/.f64 -1 (tan.f64 x)) 0) 2))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) (+.f64 (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))) |
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(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (*.f64 x (tan.f64 x))))))) (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) |
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(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) (sqrt.f64 (*.f64 x (tan.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 (sqrt.f64 (*.f64 x (tan.f64 x))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))) |
(/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (/.f64 (sqrt.f64 (*.f64 x (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 x) x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (*.f64 x (tan.f64 x))))))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) (cbrt.f64 (*.f64 x (tan.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (/.f64 (cbrt.f64 (*.f64 x (tan.f64 x))) (cbrt.f64 (-.f64 (tan.f64 x) x)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (*.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)) |
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (/.f64 (pow.f64 (tan.f64 x) -3) (tan.f64 x))) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (/.f64 (pow.f64 (tan.f64 x) -3) (tan.f64 x))) (*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (+.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (tan.f64 x) -2) 3)) (*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)) (/.f64 (pow.f64 x -3) x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (tan.f64 x) -3) (pow.f64 (tan.f64 x) -3))) (/.f64 1 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) (+.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) |
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(/.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (tan.f64 x) -3) 3)) (*.f64 (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))) (+.f64 (pow.f64 x -6) (+.f64 (*.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (pow.f64 (tan.f64 x) -6))))) |
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(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (*.f64 x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (*.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
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(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (tan.f64 x) (cbrt.f64 x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) 1) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) |
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (*.f64 x (tan.f64 x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))))) (cbrt.f64 (+.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) 1) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) -2) (pow.f64 x -2)))) |
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (*.f64 x (tan.f64 x)))))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (*.f64 x (tan.f64 x)))) (sqrt.f64 (*.f64 x (tan.f64 x)))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x (tan.f64 x))) (cbrt.f64 (*.f64 x (tan.f64 x))))) (cbrt.f64 (*.f64 x (tan.f64 x)))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)) (*.f64 (tan.f64 x) (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(/.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (/.f64 1 (cos.f64 x))) |
(*.f64 (cos.f64 x) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (cos.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (sin.f64 x))) |
(/.f64 (/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) x) (neg.f64 (tan.f64 x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(/.f64 (/.f64 (-.f64 0 (-.f64 (tan.f64 x) x)) (neg.f64 x)) (tan.f64 x)) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)) (neg.f64 (tan.f64 x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 3) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3) 1/3) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 2)) |
(fabs.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) |
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3)) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(fma.f64 1 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 -1 (tan.f64 x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) |
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 -1 (tan.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 x)))) 1) |
(/.f64 1 (tan.f64 x)) |
(*.f64 1 (/.f64 1 (tan.f64 x))) |
(/.f64 1 (tan.f64 x)) |
(*.f64 (/.f64 1 (tan.f64 x)) 1) |
(/.f64 1 (tan.f64 x)) |
(*.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 (tan.f64 x) -1/2)) |
(/.f64 1 (tan.f64 x)) |
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (cbrt.f64 (tan.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x))) |
(*.f64 (/.f64 -1 (tan.f64 x)) -1) |
(/.f64 1 (tan.f64 x)) |
(*.f64 -1 (/.f64 -1 (tan.f64 x))) |
(/.f64 1 (tan.f64 x)) |
(*.f64 (cos.f64 x) (/.f64 1 (sin.f64 x))) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) -1) (pow.f64 (sqrt.f64 (tan.f64 x)) -1)) |
(pow.f64 (sqrt.f64 (tan.f64 x)) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 x)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) |
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) |
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) |
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(*.f64 (/.f64 -1 (neg.f64 (sin.f64 x))) (cos.f64 x)) |
(/.f64 (cos.f64 x) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (tan.f64 x) -1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x))) |
(pow.f64 (tan.f64 x) -1) |
(/.f64 1 (tan.f64 x)) |
(pow.f64 (/.f64 1 (tan.f64 x)) 1) |
(/.f64 1 (tan.f64 x)) |
(pow.f64 (pow.f64 (tan.f64 x) -1/2) 2) |
(/.f64 1 (tan.f64 x)) |
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) 3) |
(/.f64 1 (tan.f64 x)) |
(pow.f64 (pow.f64 (tan.f64 x) -3) 1/3) |
(cbrt.f64 (pow.f64 (tan.f64 x) -3)) |
(sqrt.f64 (pow.f64 (tan.f64 x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (tan.f64 x)))) |
(/.f64 1 (tan.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 x))))) |
(/.f64 1 (tan.f64 x)) |
(cbrt.f64 (pow.f64 (tan.f64 x) -3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 x)))) |
(/.f64 1 (tan.f64 x)) |
(exp.f64 (neg.f64 (log.f64 (tan.f64 x)))) |
(/.f64 1 (tan.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 x)))) |
(/.f64 1 (tan.f64 x)) |
Compiled 6041 to 3506 computations (42% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 276 | 6 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 276 | 7 | 283 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.5b | (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
| ▶ | 59.5b | (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x) |
| ✓ | 59.5b | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
| ▶ | 0.3b | (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))) |
| 0.4b | (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) | |
| ▶ | 0.5b | (+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
| ▶ | 0.9b | (*.f64 1/3 x) |
Compiled 151 to 115 computations (23.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 1/4725 (pow.f64 x 7)) |
| ✓ | 0.1b | (*.f64 1/45 (pow.f64 x 3)) |
| ✓ | 0.1b | (*.f64 2/945 (pow.f64 x 5)) |
| ✓ | 0.3b | (*.f64 1/3 x) |
Compiled 85 to 68 computations (20% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 1/3 x) |
| 1.0ms | x | @ | 0 | (*.f64 1/4725 (pow.f64 x 7)) |
| 1.0ms | x | @ | 0 | (*.f64 2/945 (pow.f64 x 5)) |
| 0.0ms | x | @ | 0 | (*.f64 1/45 (pow.f64 x 3)) |
| 0.0ms | x | @ | inf | (*.f64 2/945 (pow.f64 x 5)) |
| 1× | batch-egg-rewrite |
| 954× | unswap-sqr |
| 846× | swap-sqr |
| 558× | sqr-pow |
| 490× | pow-sqr |
| 342× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 46 |
| 1 | 364 | 46 |
| 2 | 3865 | 46 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 x) |
(*.f64 2/945 (pow.f64 x 5)) |
(*.f64 1/45 (pow.f64 x 3)) |
(*.f64 1/4725 (pow.f64 x 7)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (exp.f64 (log1p.f64 (*.f64 1/3 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (exp.f64 (log1p.f64 (*.f64 1/3 x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/945 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2/945) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/893025 (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/945 (pow.f64 x 5)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/45 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/2025))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/45 (pow.f64 x 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/4725) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/4725 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/22325625 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4725) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4725 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/4725 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4725 (pow.f64 x 7)))))))) |
| 1× | egg-herbie |
| 782× | unswap-sqr |
| 780× | associate-/r/ |
| 712× | *-commutative |
| 710× | associate-/l/ |
| 554× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 178 | 1094 |
| 1 | 468 | 1036 |
| 2 | 1571 | 1006 |
| 3 | 5518 | 1006 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (exp.f64 (log1p.f64 (*.f64 1/3 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (exp.f64 (log1p.f64 (*.f64 1/3 x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1)))) |
(pow.f64 (*.f64 1/3 x) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) |
(pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/3) |
(sqrt.f64 (*.f64 1/9 (*.f64 x x))) |
(log.f64 (pow.f64 (exp.f64 1/3) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x)))) |
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/3 x))) |
(exp.f64 (log.f64 (*.f64 1/3 x))) |
(log1p.f64 (expm1.f64 (*.f64 1/3 x))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1)))) |
(pow.f64 (*.f64 2/945 (pow.f64 x 5)) 1) |
(pow.f64 (*.f64 (sqrt.f64 2/945) (pow.f64 x 5/2)) 2) |
(pow.f64 (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) 3) |
(pow.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3) 1/3) |
(sqrt.f64 (*.f64 4/893025 (pow.f64 x 10))) |
(log.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5))))) |
(cbrt.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) |
(exp.f64 (log.f64 (*.f64 2/945 (pow.f64 x 5)))) |
(log1p.f64 (expm1.f64 (*.f64 2/945 (pow.f64 x 5)))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1)))) |
(pow.f64 (*.f64 1/45 (pow.f64 x 3)) 1) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/45)) 2) |
(pow.f64 (*.f64 x (cbrt.f64 1/45)) 3) |
(pow.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/2025)) |
(log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))) |
(cbrt.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) |
(exp.f64 (log.f64 (*.f64 1/45 (pow.f64 x 3)))) |
(log1p.f64 (expm1.f64 (*.f64 1/45 (pow.f64 x 3)))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1)))) |
(pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 1) |
(pow.f64 (*.f64 (sqrt.f64 1/4725) (pow.f64 x 7/2)) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/4725 (pow.f64 x 7))) 3) |
(pow.f64 (pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 3) 1/3) |
(sqrt.f64 (*.f64 1/22325625 (pow.f64 x 14))) |
(log.f64 (pow.f64 (exp.f64 1/4725) (pow.f64 x 7))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4725 (pow.f64 x 7))))) |
(cbrt.f64 (pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) |
(exp.f64 (log.f64 (*.f64 1/4725 (pow.f64 x 7)))) |
(log1p.f64 (expm1.f64 (*.f64 1/4725 (pow.f64 x 7)))) |
| Outputs |
|---|
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) -1) |
(*.f64 1/3 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1) |
(*.f64 1/3 x) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (exp.f64 (log1p.f64 (*.f64 1/3 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1)) |
(*.f64 1/3 x) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (exp.f64 (log1p.f64 (*.f64 1/3 x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 3) -1) (fma.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (exp.f64 (*.f64 2 (log1p.f64 (*.f64 1/3 x))))))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))) |
(pow.f64 (*.f64 1/3 x) 1) |
(*.f64 1/3 x) |
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) |
(*.f64 1/3 x) |
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) |
(*.f64 1/3 x) |
(pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/3) |
(*.f64 1/3 x) |
(sqrt.f64 (*.f64 1/9 (*.f64 x x))) |
(fabs.f64 (*.f64 1/3 x)) |
(log.f64 (pow.f64 (exp.f64 1/3) x)) |
(*.f64 1/3 x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x)))) |
(*.f64 1/3 x) |
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3)) |
(*.f64 1/3 x) |
(expm1.f64 (log1p.f64 (*.f64 1/3 x))) |
(*.f64 1/3 x) |
(exp.f64 (log.f64 (*.f64 1/3 x))) |
(*.f64 1/3 x) |
(log1p.f64 (expm1.f64 (*.f64 1/3 x))) |
(*.f64 1/3 x) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) -1) |
(*.f64 2/945 (pow.f64 x 5)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1) |
(*.f64 2/945 (pow.f64 x 5)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1)) |
(*.f64 2/945 (pow.f64 x 5)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))) (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 3)) (+.f64 (exp.f64 (*.f64 2 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))))) |
(pow.f64 (*.f64 2/945 (pow.f64 x 5)) 1) |
(*.f64 2/945 (pow.f64 x 5)) |
(pow.f64 (*.f64 (sqrt.f64 2/945) (pow.f64 x 5/2)) 2) |
(*.f64 2/945 (pow.f64 x 5)) |
(pow.f64 (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) 3) |
(*.f64 2/945 (pow.f64 x 5)) |
(pow.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3) 1/3) |
(*.f64 2/945 (pow.f64 x 5)) |
(sqrt.f64 (*.f64 4/893025 (pow.f64 x 10))) |
(fabs.f64 (*.f64 2/945 (pow.f64 x 5))) |
(log.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5))) |
(*.f64 2/945 (pow.f64 x 5)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5))))) |
(*.f64 2/945 (pow.f64 x 5)) |
(cbrt.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3)) |
(*.f64 2/945 (pow.f64 x 5)) |
(expm1.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) |
(*.f64 2/945 (pow.f64 x 5)) |
(exp.f64 (log.f64 (*.f64 2/945 (pow.f64 x 5)))) |
(*.f64 2/945 (pow.f64 x 5)) |
(log1p.f64 (expm1.f64 (*.f64 2/945 (pow.f64 x 5)))) |
(*.f64 2/945 (pow.f64 x 5)) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) -1) |
(*.f64 1/45 (pow.f64 x 3)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1) |
(*.f64 1/45 (pow.f64 x 3)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1)) |
(*.f64 1/45 (pow.f64 x 3)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))) (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (exp.f64 (*.f64 2 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))))))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))))) |
(pow.f64 (*.f64 1/45 (pow.f64 x 3)) 1) |
(*.f64 1/45 (pow.f64 x 3)) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/45)) 2) |
(*.f64 1/45 (pow.f64 x 3)) |
(pow.f64 (*.f64 x (cbrt.f64 1/45)) 3) |
(*.f64 1/45 (pow.f64 x 3)) |
(pow.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) 1/3) |
(*.f64 1/45 (pow.f64 x 3)) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/2025)) |
(sqrt.f64 (*.f64 1/2025 (pow.f64 x 6))) |
(log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3))) |
(*.f64 1/45 (pow.f64 x 3)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))) |
(*.f64 1/45 (pow.f64 x 3)) |
(cbrt.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3)) |
(*.f64 1/45 (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) |
(*.f64 1/45 (pow.f64 x 3)) |
(exp.f64 (log.f64 (*.f64 1/45 (pow.f64 x 3)))) |
(*.f64 1/45 (pow.f64 x 3)) |
(log1p.f64 (expm1.f64 (*.f64 1/45 (pow.f64 x 3)))) |
(*.f64 1/45 (pow.f64 x 3)) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) -1) |
(*.f64 1/4725 (pow.f64 x 7)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1) |
(*.f64 1/4725 (pow.f64 x 7)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1)) |
(*.f64 1/4725 (pow.f64 x 7)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))) (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 3)) (+.f64 (exp.f64 (*.f64 2 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))))) |
(pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 1) |
(*.f64 1/4725 (pow.f64 x 7)) |
(pow.f64 (*.f64 (sqrt.f64 1/4725) (pow.f64 x 7/2)) 2) |
(*.f64 1/4725 (pow.f64 x 7)) |
(pow.f64 (cbrt.f64 (*.f64 1/4725 (pow.f64 x 7))) 3) |
(*.f64 1/4725 (pow.f64 x 7)) |
(pow.f64 (pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 3) 1/3) |
(*.f64 1/4725 (pow.f64 x 7)) |
(sqrt.f64 (*.f64 1/22325625 (pow.f64 x 14))) |
(log.f64 (pow.f64 (exp.f64 1/4725) (pow.f64 x 7))) |
(*.f64 1/4725 (pow.f64 x 7)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4725 (pow.f64 x 7))))) |
(*.f64 1/4725 (pow.f64 x 7)) |
(cbrt.f64 (pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 3)) |
(*.f64 1/4725 (pow.f64 x 7)) |
(expm1.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) |
(*.f64 1/4725 (pow.f64 x 7)) |
(exp.f64 (log.f64 (*.f64 1/4725 (pow.f64 x 7)))) |
(*.f64 1/4725 (pow.f64 x 7)) |
(log1p.f64 (expm1.f64 (*.f64 1/4725 (pow.f64 x 7)))) |
(*.f64 1/4725 (pow.f64 x 7)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 1/3 x) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 1/45 (pow.f64 x 3)) | |
| 0.3b | (*.f64 1/3 x) |
Compiled 25 to 19 computations (24% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 1/45 (pow.f64 x 3)) | |
| ✓ | 0.3b | (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
Compiled 21 to 16 computations (23.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
| 0.0ms | x | @ | inf | (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
| 0.0ms | x | @ | 0 | (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
| 1× | batch-egg-rewrite |
| 1788× | add-sqr-sqrt |
| 1750× | *-un-lft-identity |
| 1650× | add-cube-cbrt |
| 1638× | add-cbrt-cube |
| 188× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 210 | 21 |
| 2 | 2254 | 21 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/3 x) 1) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 3) (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))))) |
| 1× | egg-herbie |
| 1062× | distribute-lft-in |
| 968× | times-frac |
| 966× | distribute-rgt-in |
| 622× | *-commutative |
| 588× | associate-/l* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 827 |
| 1 | 168 | 805 |
| 2 | 734 | 801 |
| 3 | 2414 | 797 |
| 4 | 7767 | 797 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 x) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(*.f64 1/45 (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(*.f64 1/45 (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x)) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 (*.f64 1/3 x) 1) (*.f64 1/45 (pow.f64 x 3))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) 1) |
(*.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1) |
(*.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) |
(*.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) |
(*.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 3) (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))))) |
(pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3) |
(pow.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 2)) |
(log.f64 (exp.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))) |
(cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) |
(exp.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) |
| Outputs |
|---|
(*.f64 1/3 x) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(*.f64 1/45 (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(*.f64 1/45 (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x)) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 (*.f64 1/3 x) 1) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) 1) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(*.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(*.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(*.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(*.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))) |
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))) |
(/.f64 (fma.f64 (*.f64 x 1/9) x (*.f64 (pow.f64 x 6) -1/2025)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))) |
(/.f64 (fma.f64 x (*.f64 x 1/9) (*.f64 (pow.f64 x 6) -1/2025)) (fma.f64 (pow.f64 x 3) -1/45 (*.f64 1/3 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 3) (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 3) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 1/9 (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))))) |
(/.f64 (fma.f64 1/27 (pow.f64 x 3) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (*.f64 x 1/9) x (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (pow.f64 x 3) (*.f64 x 1/135))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (*.f64 1/91125 (pow.f64 (pow.f64 x 3/2) 6))) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 1/3 x) (fma.f64 (pow.f64 x 3) -1/45 (*.f64 1/3 x))))) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x (*.f64 x -1/135)))))) |
(pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(pow.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(pow.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3) 1/3) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(sqrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 2)) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(log.f64 (exp.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3)) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(exp.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 1)) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(log1p.f64 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x) |
| ✓ | 0.0b | (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) |
| ✓ | 2.9b | (-.f64 (tan.f64 x) x) |
Compiled 24 to 5 computations (79.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) |
| 1× | batch-egg-rewrite |
| 1072× | *-commutative |
| 992× | associate-/l/ |
| 972× | associate-/r/ |
| 646× | swap-sqr |
| 500× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 59 |
| 1 | 187 | 51 |
| 2 | 2967 | 51 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (tan.f64 x) x) |
(/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x) |
| Outputs |
|---|
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(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))))))) |
| 1× | egg-herbie |
| 1358× | associate-*r* |
| 1290× | associate-*l* |
| 1186× | associate-/l* |
| 696× | *-commutative |
| 576× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 629 | 10615 |
| 1 | 1823 | 9809 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5))))) |
(*.f64 -1 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2))) |
(+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2)))) |
(+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 1/4725 (pow.f64 x 8))))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(*.f64 1/3 x) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))) |
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(+.f64 (tan.f64 x) (neg.f64 x)) |
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
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(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (-.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (-.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (tan.f64 x))) 3))) (+.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 3)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (-.f64 (*.f64 x (+.f64 x (tan.f64 x))) (pow.f64 (tan.f64 x) 2))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (tan.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cos.f64 x) (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (tan.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (tan.f64 x) (sin.f64 x))) (cos.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x))))) (sqrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x)))) (cbrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x)))))) (cbrt.f64 (+.f64 -1 (/.f64 x (tan.f64 x))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))) (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2))) (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))) |
(pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 3) 1/3) |
(pow.f64 (/.f64 (tan.f64 x) (-.f64 (tan.f64 x) x)) -1) |
(neg.f64 (+.f64 -1 (/.f64 x (tan.f64 x)))) |
(neg.f64 (/.f64 (+.f64 -1 (/.f64 x (tan.f64 x))) 1)) |
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 2)) |
(log.f64 (exp.f64 (-.f64 1 (/.f64 x (tan.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) (pow.f64 (tan.f64 x) 3))) |
(expm1.f64 (log.f64 (-.f64 2 (/.f64 x (tan.f64 x))))) |
(exp.f64 (log.f64 (-.f64 1 (/.f64 x (tan.f64 x))))) |
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 x (tan.f64 x))))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (/.f64 x (neg.f64 (tan.f64 x))))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 x (neg.f64 (tan.f64 x))) (/.f64 1 x))) |
(-.f64 (/.f64 1 x) (/.f64 x (*.f64 x (tan.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))) 1) |
(-.f64 (/.f64 (tan.f64 x) (*.f64 x (tan.f64 x))) (/.f64 x (*.f64 x (tan.f64 x)))) |
(*.f64 (-.f64 (tan.f64 x) x) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 x))) |
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 (*.f64 x (tan.f64 x)))) |
(*.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (/.f64 1 x)) |
(*.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 1) |
(*.f64 1 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))) |
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) x)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (-.f64 1 (/.f64 x (tan.f64 x)))) |
(*.f64 (+.f64 -1 (/.f64 x (tan.f64 x))) (/.f64 1 (neg.f64 x))) |
(*.f64 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 x)) (-.f64 (tan.f64 x) x)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (/.f64 1 x)) (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2)) |
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (/.f64 1 (tan.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (cbrt.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (neg.f64 x)) (+.f64 -1 (/.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) x) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (tan.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (tan.f64 x)) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) x) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (tan.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (tan.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) x)) |
(*.f64 (/.f64 1 (*.f64 x (tan.f64 x))) (-.f64 (tan.f64 x) x)) |
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)) (/.f64 1 (*.f64 (tan.f64 x) (sqrt.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (tan.f64 x) (sqrt.f64 x))) (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x))) |
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 (tan.f64 x) (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (tan.f64 x) (cbrt.f64 x))) (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) x) (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) x)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))) |
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x))) (cos.f64 x)) |
(*.f64 (/.f64 1 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 1 (tan.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))) (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2))) (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (*.f64 x (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (*.f64 x (tan.f64 x))) (cbrt.f64 (-.f64 (tan.f64 x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) x) (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (-.f64 (tan.f64 x) x)) |
(*.f64 (/.f64 (/.f64 1 x) 1) (-.f64 1 (/.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (tan.f64 x))) (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (tan.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 (tan.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 (tan.f64 x))) (+.f64 x (neg.f64 (tan.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (sin.f64 x)) (*.f64 (-.f64 (tan.f64 x) x) (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (-.f64 (tan.f64 x) x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (-.f64 (tan.f64 x) x))) |
(*.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 x)) (sin.f64 x)) (cos.f64 x)) |
(*.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (/.f64 1 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 x (neg.f64 (tan.f64 x)))) (neg.f64 (sin.f64 x))) (cos.f64 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (cos.f64 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))) |
(pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 3) 1/3) |
(pow.f64 (/.f64 x (-.f64 1 (/.f64 x (tan.f64 x)))) -1) |
(neg.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (neg.f64 x))) |
(neg.f64 (*.f64 (+.f64 -1 (/.f64 x (tan.f64 x))) (/.f64 1 x))) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (neg.f64 x)) 1)) |
(neg.f64 (*.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (/.f64 1 (neg.f64 x)))) |
(neg.f64 (*.f64 1 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (/.f64 x (tan.f64 x))))) |
(neg.f64 (/.f64 (+.f64 -1 (/.f64 x (tan.f64 x))) x)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))) |
| Outputs |
|---|
(*.f64 1/3 (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) |
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5))))) |
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 2/15 (pow.f64 x 5))))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2))) |
(fma.f64 1/45 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x))) |
(fma.f64 1/45 (pow.f64 x 4) (*.f64 x (*.f64 1/3 x))) |
(+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2)))) |
(fma.f64 2/945 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x)))) |
(fma.f64 2/945 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 4) (*.f64 x (*.f64 1/3 x)))) |
(+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 1/4725 (pow.f64 x 8))))) |
(fma.f64 2/945 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 4) (fma.f64 1/3 (*.f64 x x) (*.f64 1/4725 (pow.f64 x 8))))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))) |
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))) 1) |
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) 1) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))) 1) |
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) 1) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))) 1) |
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) 1) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))) |
(neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))) |
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))) 1) |
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) 1) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))) 1) |
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) 1) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))) 1) |
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(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x))) |
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))) |
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x))) |
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))) |
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x))) |
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 3)) |
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x))) |
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 3) (pow.f64 x 3))) |
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x))) |
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))) |
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x))) |
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))) |
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x))) |
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))) |
(-.f64 (/.f64 1 x) (/.f64 (/.f64 x x) (tan.f64 x))) |
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) |
Compiled 10969 to 6212 computations (43.4% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 561 | 11 | 572 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 562 | 17 | 579 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.5b | (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
| 32.7b | (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) | |
| ▶ | 2.0b | (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) |
| 40.0b | (/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) (tan.f64 x)) x) | |
| 27.7b | (/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))) | |
| 59.5b | (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) | |
| ▶ | 59.5b | (/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) x) |
| 28.1b | (/.f64 (*.f64 x (*.f64 1/3 x)) x) | |
| ▶ | 28.1b | (/.f64 (*.f64 1/3 (*.f64 x x)) x) |
| 0.8b | (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))) | |
| ✓ | 59.5b | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
| ✓ | 0.3b | (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))) |
| ▶ | 0.4b | (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) |
| ✓ | 0.5b | (+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
| ✓ | 0.9b | (*.f64 1/3 x) |
| ▶ | 45.3b | (sqrt.f64 (*.f64 1/9 (*.f64 x x))) |
| 40.1b | (cbrt.f64 (pow.f64 (*.f64 1/3 x) 3)) |
Compiled 328 to 255 computations (22.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))) |
| 0.1b | (*.f64 2/945 (pow.f64 x 5)) | |
| 0.1b | (*.f64 1/45 (pow.f64 x 3)) | |
| 0.3b | (*.f64 1/3 x) |
Compiled 52 to 41 computations (21.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))) |
| 1× | batch-egg-rewrite |
| 984× | *-commutative |
| 822× | unswap-sqr |
| 622× | swap-sqr |
| 440× | sqr-pow |
| 430× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 27 |
| 1 | 268 | 27 |
| 2 | 3143 | 27 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1658× | distribute-lft-in |
| 1626× | associate-/r* |
| 1218× | associate-*r/ |
| 906× | associate-*l/ |
| 454× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 279 | 7163 |
| 1 | 797 | 6895 |
| 2 | 3393 | 6535 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/45 (pow.f64 x 3)) |
(*.f64 2/945 (pow.f64 x 5)) |
(*.f64 2/945 (pow.f64 x 5)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (-.f64 1 (*.f64 2/945 (pow.f64 x 5)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (-.f64 1 (*.f64 1/45 (pow.f64 x 3)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) 1) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/893025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (/.f64 (*.f64 1/2025 (pow.f64 x 6)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))) |
(-.f64 (+.f64 (*.f64 2/945 (pow.f64 x 5)) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) 1) |
(-.f64 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) 1) |
(*.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 1) |
(*.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) |
(*.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) |
(*.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) |
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(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))) (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (*.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (+.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)))) (-.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)) (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) 1) (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (sqrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))) (sqrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) (cbrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))) (cbrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))) |
(pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 3) |
(pow.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (neg.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) |
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (neg.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))) |
(sqrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 2)) |
(log.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))) |
(cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) |
(exp.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) |
(log1p.f64 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 (pow.f64 x 5) 2/945 (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 (pow.f64 x 3) 1/45 (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 1 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1 (*.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 (*.f64 (cbrt.f64 1/2025) (*.f64 x x)) (*.f64 x (cbrt.f64 1/45)) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 4/893025)) (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) (*.f64 1/45 (pow.f64 x 3))) |
| Outputs |
|---|
(*.f64 1/45 (pow.f64 x 3)) |
(*.f64 2/945 (pow.f64 x 5)) |
(*.f64 2/945 (pow.f64 x 5)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) (-.f64 1 (*.f64 2/945 (pow.f64 x 5)))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (-.f64 1 (*.f64 1/45 (pow.f64 x 3)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (+.f64 1 (*.f64 (pow.f64 x 3) -1/45))) |
(fma.f64 1/45 (pow.f64 x 3) (expm1.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) 1) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/893025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (/.f64 (*.f64 1/2025 (pow.f64 x 6)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))) |
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) 4/893025)) (/.f64 1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/893025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (/.f64 -1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/2025 (*.f64 (pow.f64 x 10) 4/893025)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) |
(-.f64 (+.f64 (*.f64 2/945 (pow.f64 x 5)) (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) (+.f64 1 (*.f64 (pow.f64 x 3) -1/45))) |
(fma.f64 1/45 (pow.f64 x 3) (expm1.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))) |
(*.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 1) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(*.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(*.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(*.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2)) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (/.f64 1 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))) |
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) 4/893025)) (/.f64 1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/893025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (/.f64 -1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/2025 (*.f64 (pow.f64 x 10) 4/893025)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (/.f64 1 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))) |
(/.f64 (*.f64 1 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) (fma.f64 1/2025 (pow.f64 x 6) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 2/945 (*.f64 (pow.f64 x 5) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (*.f64 1/2025 (pow.f64 x 6)))) |
(*.f64 (/.f64 1 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025))) |
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) 4/893025)) (/.f64 1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/893025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (/.f64 -1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/2025 (*.f64 (pow.f64 x 10) 4/893025)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) |
(/.f64 (*.f64 1 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) (fma.f64 1/2025 (pow.f64 x 6) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 2/945 (*.f64 (pow.f64 x 5) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (*.f64 1/2025 (pow.f64 x 6)))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025))) (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 -1/91125 (pow.f64 (pow.f64 x 3) 3)))) (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x 10) 4/893025 (*.f64 (pow.f64 x 6) -1/2025)) (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/91125))) (fma.f64 (pow.f64 x 10) 4/893025 (*.f64 (*.f64 1/45 (pow.f64 x 3)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))) |
(/.f64 (fma.f64 (pow.f64 x 10) 4/893025 (*.f64 (pow.f64 x 6) -1/2025)) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/91125)) (fma.f64 1/45 (*.f64 (pow.f64 x 3) (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))) (*.f64 (pow.f64 x 10) 4/893025)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/2025 (*.f64 (pow.f64 x 10) 4/893025)) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/91125)) (fma.f64 (*.f64 1/45 (pow.f64 x 3)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) (*.f64 (pow.f64 x 10) 4/893025)))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (-.f64 (*.f64 16/797493650625 (*.f64 (pow.f64 x 10) (pow.f64 x 10))) (*.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 (pow.f64 x 5) -2/945)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 (pow.f64 x 5) -2/945)))))) (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (*.f64 (pow.f64 x 3) -1/45) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 (pow.f64 x 5) -2/945))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (pow.f64 x 10) 4/893025 (*.f64 (*.f64 (pow.f64 x 3) -1/45) (fma.f64 1/45 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -2/945))))) (-.f64 (*.f64 16/797493650625 (pow.f64 x 20)) (*.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -2/945)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -2/945)))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (/.f64 (fma.f64 16/797493650625 (pow.f64 x 20) (*.f64 (*.f64 (pow.f64 x 6) -1/2025) (*.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -2/945)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -2/945))))) (fma.f64 (pow.f64 x 3) (*.f64 -1/45 (fma.f64 1/45 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -2/945))) (*.f64 (pow.f64 x 10) 4/893025)))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (/.f64 (fma.f64 16/797493650625 (pow.f64 x 20) (*.f64 (*.f64 (pow.f64 x 6) -1/2025) (*.f64 (fma.f64 (pow.f64 x 5) -2/945 (*.f64 1/45 (pow.f64 x 3))) (fma.f64 (pow.f64 x 5) -2/945 (*.f64 1/45 (pow.f64 x 3)))))) (fma.f64 (pow.f64 x 3) (*.f64 -1/45 (fma.f64 (pow.f64 x 5) -2/945 (*.f64 1/45 (pow.f64 x 3)))) (*.f64 (pow.f64 x 10) 4/893025)))) |
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(/.f64 (*.f64 1 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) (fma.f64 1/2025 (pow.f64 x 6) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 2/945 (*.f64 (pow.f64 x 5) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (*.f64 1/2025 (pow.f64 x 6)))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) (cbrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))) (cbrt.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)))))) |
(/.f64 (*.f64 1 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) (fma.f64 1/2025 (pow.f64 x 6) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 2/945 (*.f64 (pow.f64 x 5) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (*.f64 1/2025 (pow.f64 x 6)))) |
(pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 1) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(pow.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 2) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))) 3) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(pow.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 3) 1/3) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 10) 4/893025) (*.f64 (pow.f64 x 6) -1/2025)) (neg.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) |
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) 4/893025)) (/.f64 1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/893025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (/.f64 -1/2025 (/.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45)) (pow.f64 x 6)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/2025 (*.f64 (pow.f64 x 10) 4/893025)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) |
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (neg.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))))) |
(/.f64 (*.f64 1 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) (fma.f64 1/2025 (pow.f64 x 6) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/843908625 (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 2/945 (*.f64 (pow.f64 x 5) (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/45))) (*.f64 1/2025 (pow.f64 x 6)))) |
(sqrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 2)) |
(fabs.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))) |
(log.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) 3)) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(exp.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(log1p.f64 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 (pow.f64 x 5) 2/945 (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 (pow.f64 x 3) 1/45 (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1 (*.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 2/945 (pow.f64 x 5))) |
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 1/45) (sqrt.f64 1/45)))) |
(fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/945)) (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 (pow.f64 x 5) (*.f64 (sqrt.f64 2/945) (sqrt.f64 2/945)))) |
(fma.f64 (*.f64 (cbrt.f64 1/2025) (*.f64 x x)) (*.f64 x (cbrt.f64 1/45)) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 (*.f64 x (*.f64 x (cbrt.f64 1/2025))) (*.f64 x (cbrt.f64 1/45)) (*.f64 2/945 (pow.f64 x 5))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 4/893025)) (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) (*.f64 1/45 (pow.f64 x 3))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 1/3 (*.f64 x x)) |
| ✓ | 27.5b | (/.f64 (*.f64 1/3 (*.f64 x x)) x) |
Compiled 18 to 8 computations (55.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 1/3 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 1/3 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 1/3 (*.f64 x x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 1/3 (*.f64 x x)) x) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 1/3 (*.f64 x x)) x) |
| 1× | batch-egg-rewrite |
| 1586× | add-sqr-sqrt |
| 1564× | *-un-lft-identity |
| 1472× | add-cube-cbrt |
| 1456× | add-cbrt-cube |
| 146× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 32 |
| 1 | 150 | 26 |
| 2 | 2060 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 1/3 (*.f64 x x)) x) |
(*.f64 1/3 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 (*.f64 x x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (*.f64 x x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 1/3)) (*.f64 (*.f64 x (sqrt.f64 1/3)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 (/.f64 1 x))) (sqrt.f64 (/.f64 1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 2) (cbrt.f64 (/.f64 1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) (*.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -1/3) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/3 (*.f64 x x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (sqrt.f64 1/3)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 x) 1) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (/.f64 1 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1450× | associate-/r* |
| 1282× | associate-+r- |
| 848× | *-commutative |
| 832× | unswap-sqr |
| 792× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 1099 |
| 1 | 403 | 1051 |
| 2 | 2034 | 1051 |
| 3 | 7488 | 1051 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (/.f64 1 x)))) 1) |
(*.f64 1/3 (*.f64 (*.f64 x x) (/.f64 1 x))) |
(*.f64 1/3 (/.f64 (*.f64 x x) x)) |
(*.f64 1/3 (/.f64 1 (/.f64 1 x))) |
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x))) |
(*.f64 (*.f64 1/3 (*.f64 x x)) (/.f64 1 x)) |
(*.f64 (/.f64 1/3 (/.f64 1 x)) 1) |
(*.f64 1 (/.f64 1/3 (/.f64 1 x))) |
(*.f64 (*.f64 x (sqrt.f64 1/3)) (*.f64 (*.f64 x (sqrt.f64 1/3)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1/3 (/.f64 1 x))) (sqrt.f64 (/.f64 1/3 (/.f64 1 x)))) |
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 2) (cbrt.f64 (/.f64 1/3 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 x) (*.f64 x (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) -1/3) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/3 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x))) |
(*.f64 (/.f64 1/3 x) (*.f64 x x)) |
(*.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x))) |
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x))) |
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/3 x)) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (cbrt.f64 x))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) x)) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (sqrt.f64 1/3)) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 1/3 (/.f64 1 x)))) |
(*.f64 (/.f64 (*.f64 1/3 x) 1) (/.f64 x x)) |
(*.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x))) |
(pow.f64 (/.f64 1/3 (/.f64 1 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 1/3 (/.f64 1 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 3) |
(pow.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 3) 1/3) |
(pow.f64 (*.f64 3 (/.f64 1 x)) -1) |
(neg.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 2)) |
(log.f64 (exp.f64 (/.f64 1/3 (/.f64 1 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (/.f64 1 x))))) |
(cbrt.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1/3 (/.f64 1 x)))) |
(exp.f64 (log.f64 (/.f64 1/3 (/.f64 1 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (/.f64 1 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1/3 (/.f64 1 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) 1) |
(pow.f64 (*.f64 1/3 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 1/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (*.f64 1/9 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 1/3 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (/.f64 1 x)))) 1) |
(*.f64 1/3 x) |
(*.f64 1/3 (*.f64 (*.f64 x x) (/.f64 1 x))) |
(*.f64 1/3 x) |
(*.f64 1/3 (/.f64 (*.f64 x x) x)) |
(*.f64 1/3 x) |
(*.f64 1/3 (/.f64 1 (/.f64 1 x))) |
(*.f64 1/3 x) |
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x))) |
(*.f64 1/3 x) |
(*.f64 (*.f64 1/3 (*.f64 x x)) (/.f64 1 x)) |
(*.f64 1/3 x) |
(*.f64 (/.f64 1/3 (/.f64 1 x)) 1) |
(*.f64 1/3 x) |
(*.f64 1 (/.f64 1/3 (/.f64 1 x))) |
(*.f64 1/3 x) |
(*.f64 (*.f64 x (sqrt.f64 1/3)) (*.f64 (*.f64 x (sqrt.f64 1/3)) (/.f64 1 x))) |
(*.f64 1/3 x) |
(*.f64 (sqrt.f64 (/.f64 1/3 (/.f64 1 x))) (sqrt.f64 (/.f64 1/3 (/.f64 1 x)))) |
(*.f64 1/3 x) |
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (*.f64 (/.f64 1 x) (cbrt.f64 (*.f64 1/3 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 x))) x)) |
(*.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 2)) |
(*.f64 1/3 x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 2) (cbrt.f64 (/.f64 1/3 (/.f64 1 x)))) |
(*.f64 1/3 x) |
(*.f64 (*.f64 1/3 x) (*.f64 x (/.f64 1 x))) |
(*.f64 1/3 x) |
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x))) |
(*.f64 1/3 x) |
(*.f64 (*.f64 (*.f64 x x) -1/3) (/.f64 1 (neg.f64 x))) |
(*.f64 1/3 x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x))) |
(*.f64 1/3 x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/3 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (/.f64 (cbrt.f64 x) (*.f64 x x)))) |
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (/.f64 (cbrt.f64 x) x))) |
(*.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/3) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x))) |
(*.f64 1/3 x) |
(*.f64 (/.f64 1/3 x) (*.f64 x x)) |
(*.f64 1/3 x) |
(*.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x))) |
(*.f64 1/3 x) |
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (/.f64 (cbrt.f64 x) (*.f64 x x)))) |
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (/.f64 (cbrt.f64 x) x))) |
(*.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/3) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/3 x)) |
(*.f64 1/3 x) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (/.f64 (cbrt.f64 x) (*.f64 x x)))) |
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (/.f64 (cbrt.f64 x) x))) |
(*.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/3) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) x)) |
(*.f64 1/3 x) |
(*.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (sqrt.f64 1/3)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (/.f64 (cbrt.f64 x) (*.f64 x x)))) |
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (/.f64 (cbrt.f64 x) x))) |
(*.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/3) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) x)) |
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (*.f64 (/.f64 1 x) (cbrt.f64 (*.f64 1/3 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (sqrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (*.f64 (/.f64 1 x) (cbrt.f64 (*.f64 1/3 (*.f64 x x))))) |
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 x))) x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 1/3 (/.f64 1 x)))) |
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 1/3 x)))) |
(*.f64 (/.f64 (*.f64 1/3 x) 1) (/.f64 x x)) |
(*.f64 1/3 x) |
(*.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) |
(*.f64 1/3 x) |
(*.f64 (/.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/3 (/.f64 (cbrt.f64 x) (*.f64 x x)))) |
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (/.f64 (cbrt.f64 x) x))) |
(*.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/3) (/.f64 x (cbrt.f64 x))) |
(pow.f64 (/.f64 1/3 (/.f64 1 x)) 1) |
(*.f64 1/3 x) |
(pow.f64 (sqrt.f64 (/.f64 1/3 (/.f64 1 x))) 2) |
(*.f64 1/3 x) |
(pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 1 x))) 3) |
(*.f64 1/3 x) |
(pow.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 3) 1/3) |
(*.f64 1/3 x) |
(pow.f64 (*.f64 3 (/.f64 1 x)) -1) |
(*.f64 1/3 x) |
(neg.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (neg.f64 x))) |
(*.f64 1/3 x) |
(sqrt.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 2)) |
(*.f64 1/3 x) |
(log.f64 (exp.f64 (/.f64 1/3 (/.f64 1 x)))) |
(*.f64 1/3 x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (/.f64 1 x))))) |
(*.f64 1/3 x) |
(cbrt.f64 (pow.f64 (/.f64 1/3 (/.f64 1 x)) 3)) |
(*.f64 1/3 x) |
(expm1.f64 (log1p.f64 (/.f64 1/3 (/.f64 1 x)))) |
(*.f64 1/3 x) |
(exp.f64 (log.f64 (/.f64 1/3 (/.f64 1 x)))) |
(*.f64 1/3 x) |
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (/.f64 1 x))) 1)) |
(*.f64 1/3 x) |
(log1p.f64 (expm1.f64 (/.f64 1/3 (/.f64 1 x)))) |
(*.f64 1/3 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) 1) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(pow.f64 (*.f64 1/3 (*.f64 x x)) 1) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(pow.f64 (*.f64 x (sqrt.f64 1/3)) 2) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) 3) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(pow.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3) 1/3) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(sqrt.f64 (*.f64 1/9 (pow.f64 x 4))) |
(fabs.f64 (*.f64 x (*.f64 1/3 x))) |
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x x))) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 x x))))) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(exp.f64 (log.f64 (*.f64 1/3 (*.f64 x x)))) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 x x))) 1)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 x x)))) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 x (*.f64 1/3 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 1/9 (*.f64 x x)) |
| ✓ | 27.5b | (sqrt.f64 (*.f64 1/9 (*.f64 x x))) |
Compiled 17 to 8 computations (52.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 1/9 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 1/9 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (*.f64 1/9 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (*.f64 1/9 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (*.f64 1/9 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1386× | add-sqr-sqrt |
| 1366× | *-un-lft-identity |
| 1276× | add-cube-cbrt |
| 1266× | add-cbrt-cube |
| 1254× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 161 | 20 |
| 2 | 1854 | 20 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 1/9 (*.f64 x x))) |
(*.f64 1/9 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 1/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/9 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/9 x) 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/9 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 1/81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1360× | fma-def |
| 1038× | distribute-lft-out |
| 852× | unswap-sqr |
| 826× | *-commutative |
| 586× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 713 |
| 1 | 210 | 713 |
| 2 | 835 | 713 |
| 3 | 2894 | 713 |
| 4 | 5113 | 713 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 -1/3 x) |
(*.f64 -1/3 x) |
(*.f64 -1/3 x) |
(*.f64 -1/3 x) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1) |
(*.f64 x 1/3) |
(*.f64 x (pow.f64 1/9 1/2)) |
(*.f64 (*.f64 x 1/3) 1) |
(*.f64 1 (*.f64 x 1/3)) |
(*.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3))) |
(*.f64 1/3 x) |
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (cbrt.f64 (*.f64 x 1/3))) |
(*.f64 (sqrt.f64 (*.f64 1/9 x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))))) |
(*.f64 (pow.f64 1/9 1/2) x) |
(*.f64 (pow.f64 1 1/2) (*.f64 x 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) 1/2)) |
(*.f64 (pow.f64 (*.f64 1/9 x) 1/2) (sqrt.f64 x)) |
(pow.f64 (*.f64 1/9 (*.f64 x x)) 1/2) |
(pow.f64 (*.f64 x 1/3) 1) |
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3) |
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3) |
(fabs.f64 (*.f64 x 1/3)) |
(log.f64 (pow.f64 (exp.f64 1/3) x)) |
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x 1/3))) |
(exp.f64 (log.f64 (*.f64 x 1/3))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 x x))) 1/2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x 1/3))) |
(-.f64 (+.f64 1 (*.f64 1/9 (*.f64 x x))) 1) |
(pow.f64 (*.f64 1/9 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x 1/3) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) 3) |
(pow.f64 (*.f64 (pow.f64 x 4) 1/81) 1/2) |
(pow.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/81)) |
(log.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 1/9 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 -1/3 x) |
(*.f64 x -1/3) |
(*.f64 -1/3 x) |
(*.f64 x -1/3) |
(*.f64 -1/3 x) |
(*.f64 x -1/3) |
(*.f64 -1/3 x) |
(*.f64 x -1/3) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1) |
(*.f64 1/3 x) |
(*.f64 x 1/3) |
(*.f64 1/3 x) |
(*.f64 x (pow.f64 1/9 1/2)) |
(*.f64 1/3 x) |
(*.f64 (*.f64 x 1/3) 1) |
(*.f64 1/3 x) |
(*.f64 1 (*.f64 x 1/3)) |
(*.f64 1/3 x) |
(*.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3))) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 x x)))) |
(*.f64 1/3 x) |
(*.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) (cbrt.f64 (*.f64 x 1/3))) |
(*.f64 1/3 x) |
(*.f64 (sqrt.f64 (*.f64 1/9 x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/9))) |
(*.f64 (sqrt.f64 (*.f64 x 1/9)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))))) |
(*.f64 (pow.f64 1/9 1/2) x) |
(*.f64 1/3 x) |
(*.f64 (pow.f64 1 1/2) (*.f64 x 1/3)) |
(*.f64 1/3 x) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) 1/2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))))) |
(*.f64 (pow.f64 (*.f64 1/9 x) 1/2) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/9))) |
(*.f64 (sqrt.f64 (*.f64 x 1/9)) (sqrt.f64 x)) |
(pow.f64 (*.f64 1/9 (*.f64 x x)) 1/2) |
(*.f64 1/3 x) |
(pow.f64 (*.f64 x 1/3) 1) |
(*.f64 1/3 x) |
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2) |
(*.f64 1/3 x) |
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3) |
(*.f64 1/3 x) |
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3) |
(*.f64 1/3 x) |
(fabs.f64 (*.f64 x 1/3)) |
(*.f64 1/3 x) |
(log.f64 (pow.f64 (exp.f64 1/3) x)) |
(*.f64 1/3 x) |
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3)) |
(*.f64 1/3 x) |
(expm1.f64 (log1p.f64 (*.f64 x 1/3))) |
(*.f64 1/3 x) |
(exp.f64 (log.f64 (*.f64 x 1/3))) |
(*.f64 1/3 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 x x))) 1/2)) |
(*.f64 1/3 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1)) |
(*.f64 1/3 x) |
(log1p.f64 (expm1.f64 (*.f64 x 1/3))) |
(*.f64 1/3 x) |
(-.f64 (+.f64 1 (*.f64 1/9 (*.f64 x x))) 1) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(pow.f64 (*.f64 1/9 (*.f64 x x)) 1) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(pow.f64 (*.f64 x 1/3) 2) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 x x))) 3) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(pow.f64 (*.f64 (pow.f64 x 4) 1/81) 1/2) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(pow.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3) 1/3) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/81)) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(log.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x))) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 x x)) 3)) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 x x)))) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(exp.f64 (log.f64 (*.f64 1/9 (*.f64 x x)))) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 x x))) 1)) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
(log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 x x)))) |
(*.f64 1/9 (*.f64 x x)) |
(*.f64 x (*.f64 x 1/9)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 2 (/.f64 x (tan.f64 x))) |
| ✓ | 0.0b | (/.f64 x (tan.f64 x)) |
| ✓ | 0.0b | (/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) x) |
| ✓ | 2.8b | (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) |
Compiled 34 to 16 computations (52.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 x (tan.f64 x)) |
| 0.0ms | x | @ | inf | (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) x) |
| 0.0ms | x | @ | -inf | (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) x) |
| 1× | batch-egg-rewrite |
| 1826× | associate-/r* |
| 1316× | associate-/l* |
| 670× | distribute-lft-in |
| 608× | associate-/r/ |
| 448× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 80 |
| 1 | 253 | 68 |
| 2 | 3478 | 68 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) |
(/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) x) |
(/.f64 x (tan.f64 x)) |
(-.f64 2 (/.f64 x (tan.f64 x))) |
| Outputs |
|---|
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((x pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 2 (/.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (/.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 3 (/.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 2 (/.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 2 (/.f64 x (tan.f64 x))))))))) |
| 1× | egg-herbie |
| 882× | associate-*r* |
| 756× | associate-*l* |
| 676× | associate-/l* |
| 570× | *-commutative |
| 526× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 620 | 11907 |
| 1 | 1783 | 10311 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (pow.f64 x 2)) |
(+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2))) |
(+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2)))) |
(+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 1/4725 (pow.f64 x 8))))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(*.f64 1/3 x) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))) |
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
1 |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (*.f64 -1/45 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/45 (pow.f64 x 4)) (*.f64 -2/945 (pow.f64 x 6))))) |
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) |
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) |
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) |
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) |
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) |
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) |
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) |
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) |
1 |
(+.f64 1 (*.f64 1/3 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2)))) |
(+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2))))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))) |
(+.f64 2 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 2 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 2 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))) |
(+.f64 2 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 2 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 2 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(-.f64 2 (+.f64 (/.f64 x (tan.f64 x)) 1)) |
(-.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 1) |
(-.f64 1 (/.f64 x (tan.f64 x))) |
(-.f64 (-.f64 3 (/.f64 x (tan.f64 x))) 2) |
(-.f64 (/.f64 4 (+.f64 2 (/.f64 x (tan.f64 x)))) (-.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (+.f64 2 (/.f64 x (tan.f64 x)))) -1)) |
(-.f64 (/.f64 4 (+.f64 2 (/.f64 x (tan.f64 x)))) (+.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (+.f64 2 (/.f64 x (tan.f64 x)))) 1)) |
(-.f64 (/.f64 8 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))) (-.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))) -1)) |
(-.f64 (/.f64 8 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))) (+.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))) 1)) |
(-.f64 (/.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2) (-.f64 3 (/.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 3 (/.f64 x (tan.f64 x))))) |
(-.f64 (+.f64 -1 (-.f64 3 (/.f64 x (tan.f64 x)))) 1) |
(-.f64 (+.f64 -1 (/.f64 4 (+.f64 2 (/.f64 x (tan.f64 x))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (+.f64 2 (/.f64 x (tan.f64 x))))) |
(-.f64 (+.f64 -1 (/.f64 8 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) |
(*.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 1) |
(*.f64 1 (-.f64 1 (/.f64 x (tan.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))) |
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x))))) |
(*.f64 (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2)) (/.f64 1 (-.f64 3 (/.f64 x (tan.f64 x))))) |
(*.f64 (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2) (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1))))) |
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 2 (/.f64 x (tan.f64 x))))) (-.f64 (sqrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 1)) |
(*.f64 (/.f64 1 (-.f64 3 (/.f64 x (tan.f64 x)))) (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2))) |
(*.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2) (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1)))) (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2)) (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2))) (-.f64 1 (/.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2)) (-.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3) -1)) (+.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2) (+.f64 (/.f64 x (tan.f64 x)) -1))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3)) (-.f64 (*.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2) (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2)) (*.f64 (-.f64 1 (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1)) (-.f64 1 (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1))))) (+.f64 (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2)) (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3)) (+.f64 (pow.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2) 3) (pow.f64 (-.f64 1 (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1)) 3))) (+.f64 (*.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2) (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2)) (-.f64 (*.f64 (-.f64 1 (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1)) (-.f64 1 (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1))) (*.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2) (-.f64 1 (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1)))))) |
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 1) |
(/.f64 1 (/.f64 1 (-.f64 1 (/.f64 x (tan.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))) |
(/.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 x (tan.f64 x)))))) |
(/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2)) (-.f64 3 (/.f64 x (tan.f64 x)))) |
(/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2)) (/.f64 1 (/.f64 1 (-.f64 3 (/.f64 x (tan.f64 x)))))) |
(/.f64 (-.f64 3 (/.f64 x (tan.f64 x))) (/.f64 (-.f64 3 (/.f64 x (tan.f64 x))) (-.f64 1 (/.f64 x (tan.f64 x))))) |
(/.f64 (+.f64 -1 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2) (*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1)))) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))) 1) |
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(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) 3) 1/3) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x)))) |
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(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x))) |
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(expm1.f64 (log1p.f64 (/.f64 x (tan.f64 x)))) |
(exp.f64 (log.f64 (/.f64 x (tan.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (tan.f64 x)))) |
(+.f64 2 (/.f64 (neg.f64 x) (tan.f64 x))) |
(+.f64 2 (*.f64 (/.f64 (neg.f64 x) (tan.f64 x)) 1)) |
(+.f64 2 (*.f64 1 (*.f64 (/.f64 (neg.f64 x) (tan.f64 x)) 1))) |
(+.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 1) |
(+.f64 1 (-.f64 1 (/.f64 x (tan.f64 x)))) |
(+.f64 (-.f64 3 (/.f64 x (tan.f64 x))) -1) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 x)) 2) |
(+.f64 3 (+.f64 -1 (/.f64 (neg.f64 x) (tan.f64 x)))) |
(+.f64 3 (neg.f64 (+.f64 (/.f64 x (tan.f64 x)) 1))) |
(+.f64 0 (-.f64 2 (/.f64 x (tan.f64 x)))) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) (tan.f64 x)) 1) 2) |
(*.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 1) |
(*.f64 1 (-.f64 2 (/.f64 x (tan.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 2 (/.f64 x (tan.f64 x))))) |
(*.f64 (cbrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 2) (cbrt.f64 (-.f64 2 (/.f64 x (tan.f64 x))))) |
(*.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 (+.f64 2 (/.f64 x (tan.f64 x))))) |
(*.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (/.f64 1 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) |
(*.f64 (/.f64 1 (+.f64 2 (/.f64 x (tan.f64 x)))) (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) |
(*.f64 (/.f64 1 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))) (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))) |
(*.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (-.f64 2 (/.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (+.f64 4 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (/.f64 (*.f64 2 x) (tan.f64 x))))) |
(*.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (-.f64 16 (*.f64 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))) (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) (-.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (+.f64 64 (pow.f64 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))) 3))) (+.f64 16 (-.f64 (*.f64 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))) (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))) (*.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))))) |
(/.f64 1 (/.f64 1 (-.f64 2 (/.f64 x (tan.f64 x))))) |
(/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 2 (/.f64 x (tan.f64 x)))) |
(/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))) |
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (/.f64 (+.f64 2 (/.f64 x (tan.f64 x))) (sqrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))))) |
(/.f64 (sqrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (/.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))) (sqrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)))) (/.f64 (+.f64 2 (/.f64 x (tan.f64 x))) (cbrt.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)))) (/.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))) (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))))) |
(/.f64 (-.f64 4 (*.f64 (/.f64 (neg.f64 x) (tan.f64 x)) (/.f64 (neg.f64 x) (tan.f64 x)))) (+.f64 2 (/.f64 x (tan.f64 x)))) |
(/.f64 (-.f64 16 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (pow.f64 (/.f64 x (tan.f64 x)) 2))) (*.f64 (+.f64 2 (/.f64 x (tan.f64 x))) (+.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)))) |
(/.f64 (-.f64 64 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 x (tan.f64 x)) 3))) (*.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))) (+.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)))) |
(/.f64 (+.f64 8 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 x)) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 (neg.f64 x) (tan.f64 x)) (/.f64 (neg.f64 x) (tan.f64 x))) (*.f64 2 (/.f64 (neg.f64 x) (tan.f64 x)))))) |
(/.f64 (-.f64 64 (pow.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) 3)) (*.f64 (+.f64 2 (/.f64 x (tan.f64 x))) (+.f64 16 (+.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (*.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)))))) |
(/.f64 (-.f64 512 (pow.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) 3)) (*.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))) (+.f64 64 (+.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 x (tan.f64 x)) 3)) (*.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)))))) |
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (neg.f64 (+.f64 2 (/.f64 x (tan.f64 x))))) |
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (neg.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) 1) (+.f64 2 (/.f64 x (tan.f64 x)))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (sqrt.f64 (+.f64 2 (/.f64 x (tan.f64 x))))) (sqrt.f64 (+.f64 2 (/.f64 x (tan.f64 x))))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 2 (/.f64 x (tan.f64 x)))) (cbrt.f64 (+.f64 2 (/.f64 x (tan.f64 x)))))) (cbrt.f64 (+.f64 2 (/.f64 x (tan.f64 x))))) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) 1) (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (sqrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) (sqrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))) (cbrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))))) (cbrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) |
(pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 1) |
(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 3) |
(pow.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2)) |
(log.f64 (exp.f64 (-.f64 2 (/.f64 x (tan.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (/.f64 x (tan.f64 x)))))) |
(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3)) |
(expm1.f64 (log.f64 (-.f64 3 (/.f64 x (tan.f64 x))))) |
(exp.f64 (log.f64 (-.f64 2 (/.f64 x (tan.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 2 (/.f64 x (tan.f64 x))))) |
| Outputs |
|---|
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2))) |
(fma.f64 1/45 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x))) |
(+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2)))) |
(fma.f64 2/945 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x)))) |
(+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 (*.f64 1/45 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 1/4725 (pow.f64 x 8))))) |
(fma.f64 2/945 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 4) (fma.f64 1/3 (*.f64 x x) (*.f64 1/4725 (pow.f64 x 8))))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))) |
(neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) 1) |
(-.f64 1 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) 1) |
(-.f64 1 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) 1) |
(-.f64 1 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))) |
(neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) 1) |
(-.f64 1 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) 1) |
(-.f64 1 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) 1) |
(-.f64 1 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 1/3 x) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) |
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))) |
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/4725 (pow.f64 x 7))))) |
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) |
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x)) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x)) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x)) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x))) |
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) |
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x)) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x)) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x)) |
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x))) |
1 |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1) |
(fma.f64 -1/3 (*.f64 x x) 1) |
(fma.f64 (*.f64 x x) -1/3 1) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (*.f64 -1/45 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/3 (*.f64 x x) 1) (*.f64 (pow.f64 x 4) -1/45)) |
(fma.f64 (*.f64 x x) -1/3 (fma.f64 (pow.f64 x 4) -1/45 1)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/45 (pow.f64 x 4)) (*.f64 -2/945 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/3 (*.f64 x x) 1) (fma.f64 -1/45 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -2/945))) |
(+.f64 (fma.f64 (*.f64 x x) -1/3 1) (fma.f64 (pow.f64 x 4) -1/45 (*.f64 (pow.f64 x 6) -2/945))) |
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) |
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))) |
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) |
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))) |
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) |
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))) |
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) |
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))) |
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) |
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))) |
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) |
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))) |
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) |
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))) |
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) |
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))) |
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) |
1 |
(+.f64 1 (*.f64 1/3 (pow.f64 x 2))) |
(+.f64 (*.f64 1/3 (*.f64 x x)) 1) |
(fma.f64 1/3 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2)))) |
(+.f64 (fma.f64 1/45 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x))) 1) |
(+.f64 (*.f64 1/45 (pow.f64 x 4)) (fma.f64 1/3 (*.f64 x x) 1)) |
(+.f64 (*.f64 2/945 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 1/45 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2))))) |
(fma.f64 2/945 (pow.f64 x 6) (+.f64 (fma.f64 1/45 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x))) 1)) |
(+.f64 (fma.f64 1/45 (pow.f64 x 4) (*.f64 1/3 (*.f64 x x))) (fma.f64 2/945 (pow.f64 x 6) 1)) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))) |
(neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) |
(+.f64 2 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 2 (neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))) |
(-.f64 2 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 2 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 2 (neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))) |
(-.f64 2 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) |
(+.f64 2 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 2 (neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))) |
(-.f64 2 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) |
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))) |
(neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (cos.f64 x)) (/.f64 (sin.f64 x) x)) |
(+.f64 2 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))) |
(+.f64 2 (neg.f64 (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))) |
(-.f64 2 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) |
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(pow.f64 (pow.f64 (-.f64 1 (/.f64 x (tan.f64 x))) 3) 1/3) |
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(/.f64 (-.f64 512 (pow.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) 3)) (*.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))) (+.f64 64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 6) (*.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)))))) |
(/.f64 (-.f64 512 (pow.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) 3)) (*.f64 (fma.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))) 4) (+.f64 64 (fma.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (/.f64 x (tan.f64 x)) 6))))) |
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (neg.f64 (+.f64 2 (/.f64 x (tan.f64 x))))) |
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2))) (+.f64 -2 (/.f64 (neg.f64 x) (tan.f64 x)))) |
(/.f64 (+.f64 -4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (-.f64 -2 (/.f64 x (tan.f64 x)))) |
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3))) (neg.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) |
(/.f64 (+.f64 -8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (+.f64 -4 (*.f64 (/.f64 x (tan.f64 x)) (-.f64 -2 (/.f64 x (tan.f64 x)))))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) 1) (+.f64 2 (/.f64 x (tan.f64 x)))) |
(*.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 (+.f64 2 (/.f64 x (tan.f64 x))))) |
(/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 2 (/.f64 x (tan.f64 x)))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (sqrt.f64 (+.f64 2 (/.f64 x (tan.f64 x))))) (sqrt.f64 (+.f64 2 (/.f64 x (tan.f64 x))))) |
(*.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 (+.f64 2 (/.f64 x (tan.f64 x))))) |
(/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 2 (/.f64 x (tan.f64 x)))) |
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 2 (/.f64 x (tan.f64 x)))) (cbrt.f64 (+.f64 2 (/.f64 x (tan.f64 x)))))) (cbrt.f64 (+.f64 2 (/.f64 x (tan.f64 x))))) |
(*.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (/.f64 1 (+.f64 2 (/.f64 x (tan.f64 x))))) |
(/.f64 (-.f64 4 (pow.f64 (/.f64 x (tan.f64 x)) 2)) (+.f64 2 (/.f64 x (tan.f64 x)))) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) 1) (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))) |
(*.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (/.f64 1 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) |
(/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (fma.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))) 4)) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (sqrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) (sqrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) |
(*.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (/.f64 1 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) |
(/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (fma.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))) 4)) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))) (cbrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x)))))))) (cbrt.f64 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) |
(*.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (/.f64 1 (+.f64 4 (*.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))))))) |
(/.f64 (-.f64 8 (pow.f64 (/.f64 x (tan.f64 x)) 3)) (fma.f64 (/.f64 x (tan.f64 x)) (+.f64 2 (/.f64 x (tan.f64 x))) 4)) |
(pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 1) |
(-.f64 2 (/.f64 x (tan.f64 x))) |
(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 2) |
(-.f64 2 (/.f64 x (tan.f64 x))) |
(pow.f64 (cbrt.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 3) |
(-.f64 2 (/.f64 x (tan.f64 x))) |
(pow.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3) 1/3) |
(-.f64 2 (/.f64 x (tan.f64 x))) |
(sqrt.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 2)) |
(fabs.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) |
(log.f64 (exp.f64 (-.f64 2 (/.f64 x (tan.f64 x))))) |
(-.f64 2 (/.f64 x (tan.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (/.f64 x (tan.f64 x)))))) |
(-.f64 2 (/.f64 x (tan.f64 x))) |
(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 x (tan.f64 x))) 3)) |
(-.f64 2 (/.f64 x (tan.f64 x))) |
(expm1.f64 (log.f64 (-.f64 3 (/.f64 x (tan.f64 x))))) |
(exp.f64 (log.f64 (-.f64 2 (/.f64 x (tan.f64 x))))) |
(-.f64 2 (/.f64 x (tan.f64 x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 2 (/.f64 x (tan.f64 x)))) 1)) |
(-.f64 2 (/.f64 x (tan.f64 x))) |
(log1p.f64 (expm1.f64 (-.f64 2 (/.f64 x (tan.f64 x))))) |
(-.f64 2 (/.f64 x (tan.f64 x))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 1/3 x) | |
| ✓ | 0.6b | (cbrt.f64 (*.f64 1/3 x)) |
| ✓ | 0.8b | (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) |
Compiled 17 to 13 computations (23.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) |
| 0.0ms | x | @ | -inf | (cbrt.f64 (*.f64 1/3 x)) |
| 0.0ms | x | @ | 0 | (cbrt.f64 (*.f64 1/3 x)) |
| 1× | batch-egg-rewrite |
| 1412× | add-sqr-sqrt |
| 1378× | *-un-lft-identity |
| 1304× | add-cube-cbrt |
| 1292× | add-cbrt-cube |
| 1276× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 185 | 18 |
| 2 | 1841 | 18 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) |
(cbrt.f64 (*.f64 1/3 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/6) (*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (*.f64 1/3 x) 1/6)) (pow.f64 (*.f64 1/3 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 1/3)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/3) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/6) (pow.f64 (*.f64 1/3 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/3 x)))))))) |
| 1× | egg-herbie |
| 1412× | associate-+r+ |
| 1366× | distribute-rgt-in |
| 1350× | distribute-lft-in |
| 1286× | associate-+l+ |
| 950× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 1110 |
| 1 | 236 | 834 |
| 2 | 801 | 552 |
| 3 | 2611 | 552 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1) |
(*.f64 1/3 x) |
(*.f64 x 1/3) |
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) |
(*.f64 (*.f64 1/3 x) 1) |
(*.f64 1 (*.f64 1/3 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3)) |
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x))) |
(*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))) |
(*.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))) |
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1) (cbrt.f64 (*.f64 1/3 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (*.f64 1/3 x) 1/6)) (pow.f64 (*.f64 1/3 x) 1/6)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 1/3)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x))) |
(*.f64 (pow.f64 (cbrt.f64 1/3) 3) x) |
(sqrt.f64 (*.f64 (*.f64 x x) 1/9)) |
(log.f64 (pow.f64 (exp.f64 1/3) x)) |
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/3 x))) |
(exp.f64 (log.f64 (*.f64 1/3 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/3 x))) |
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 1/3 x))) 1) |
(*.f64 (cbrt.f64 (*.f64 1/3 x)) 1) |
(*.f64 1 (cbrt.f64 (*.f64 1/3 x))) |
(*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (pow.f64 (*.f64 1/3 x) 1/6)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) |
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/3 x))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3)) |
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1) |
(pow.f64 (*.f64 1/3 x) 1/3) |
(pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 x)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/3 x)))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))) 1)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1/3)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/3 x)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 x 1/3) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 (*.f64 1/3 x) 1) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 1 (*.f64 1/3 x)) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3)) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x))) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3)) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x))) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))) |
(*.f64 (cbrt.f64 1/3) (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3))) |
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1) (cbrt.f64 (*.f64 1/3 x))) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (*.f64 1/3 x) 1/6)) (pow.f64 (*.f64 1/3 x) 1/6)) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 1/3)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 1/3) (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 1/3))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 3)) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x))) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(*.f64 (pow.f64 (cbrt.f64 1/3) 3) x) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(sqrt.f64 (*.f64 (*.f64 x x) 1/9)) |
(sqrt.f64 (*.f64 x (*.f64 x 1/9))) |
(fabs.f64 (*.f64 1/3 x)) |
(log.f64 (pow.f64 (exp.f64 1/3) x)) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3)) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(expm1.f64 (log1p.f64 (*.f64 1/3 x))) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(exp.f64 (log.f64 (*.f64 1/3 x))) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1)) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(log1p.f64 (expm1.f64 (*.f64 1/3 x))) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(+.f64 (*.f64 1/3 x) 0) |
(*.f64 1/3 x) |
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 1/3 x))) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(*.f64 (cbrt.f64 (*.f64 1/3 x)) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(*.f64 1 (cbrt.f64 (*.f64 1/3 x))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (pow.f64 (*.f64 1/3 x) 1/6)) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2)) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3)) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/3 x))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x)))) |
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(pow.f64 (*.f64 1/3 x) 1/3) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 2) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 x)))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/3 x)))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x)))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))) 1)) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1/3)) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/3 x)))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 1/3 x)) 1)) |
(+.f64 (cbrt.f64 (*.f64 1/3 x)) 0) |
(cbrt.f64 (*.f64 1/3 x)) |
Compiled 18023 to 12548 computations (30.4% saved)
28 alts after pruning (18 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 756 | 14 | 770 |
| Fresh | 3 | 4 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 759 | 28 | 787 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.5b | (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
| 0.9b | (pow.f64 (*.f64 3 (/.f64 1 x)) -1) | |
| ✓ | 2.0b | (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) |
| 27.7b | (/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))) | |
| 59.5b | (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) | |
| ✓ | 59.5b | (/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) x) |
| 59.7b | (/.f64 (+.f64 (+.f64 (*.f64 1/3 (*.f64 x x)) 1) -1) x) | |
| ▶ | 28.1b | (/.f64 (*.f64 x (*.f64 1/3 x)) x) |
| ✓ | 28.1b | (/.f64 (*.f64 1/3 (*.f64 x x)) x) |
| ▶ | 0.8b | (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))) |
| ✓ | 59.5b | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
| 58.7b | (-.f64 (+.f64 1 (*.f64 x 1/3)) 1) | |
| ✓ | 0.3b | (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))) |
| ✓ | 0.4b | (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) |
| ✓ | 0.5b | (+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
| 58.8b | (+.f64 1 (-.f64 (*.f64 1/3 x) 1)) | |
| 2.9b | (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x))) | |
| 32.8b | (*.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) | |
| 28.1b | (*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x))) | |
| 0.9b | (*.f64 (/.f64 1/3 (/.f64 1 x)) 1) | |
| ▶ | 28.1b | (*.f64 (/.f64 1/3 x) (*.f64 x x)) |
| 28.1b | (*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x))) | |
| 2.0b | (*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) | |
| ▶ | 32.7b | (*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) |
| 32.6b | (*.f64 (sqrt.f64 (*.f64 x 1/9)) (sqrt.f64 x)) | |
| ✓ | 0.9b | (*.f64 1/3 x) |
| ▶ | 45.3b | (sqrt.f64 (*.f64 x (*.f64 x 1/9))) |
| ✓ | 45.3b | (sqrt.f64 (*.f64 1/9 (*.f64 x x))) |
Compiled 493 to 376 computations (23.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))) |
| ✓ | 0.0b | (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) |
| ✓ | 0.2b | (*.f64 3 (log1p.f64 (*.f64 1/3 x))) |
| 0.3b | (*.f64 1/3 x) |
Compiled 87 to 74 computations (14.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 95.0ms | x | @ | 0 | (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))) |
| 9.0ms | x | @ | inf | (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))) |
| 4.0ms | x | @ | -inf | (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))) |
| 4.0ms | x | @ | 0 | (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) |
| 2.0ms | x | @ | inf | (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) |
| 1× | batch-egg-rewrite |
| 1554× | associate-*l/ |
| 1008× | associate-/r* |
| 728× | associate-/l* |
| 372× | add-sqr-sqrt |
| 358× | *-un-lft-identity |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 137 |
| 1 | 374 | 133 |
| 2 | 4671 | 121 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (log1p.f64 (*.f64 1/3 x))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (log1p.f64 (*.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))))))) |
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2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) -1)))) 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3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))))))) |
| 1× | egg-herbie |
| 558× | associate-/l* |
| 556× | associate-/r* |
| 542× | associate-+l- |
| 524× | fma-def |
| 524× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 528 | 20679 |
| 1 | 1579 | 16829 |
| 2 | 7139 | 16829 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 1/27 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/108 (pow.f64 x 4)) (+.f64 (*.f64 1/27 (pow.f64 x 3)) x))) |
(*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) |
(-.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 27/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 27 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 27/2 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3))) |
(+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))) |
(-.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))) (*.f64 27/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 27 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3))))) (*.f64 27/2 (/.f64 1 (pow.f64 x 2)))) |
3 |
(+.f64 3 x) |
(+.f64 3 (+.f64 (*.f64 1/9 (pow.f64 x 2)) x)) |
(+.f64 3 (+.f64 (*.f64 1/9 (pow.f64 x 2)) x)) |
(+.f64 1 (+.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))))) |
(+.f64 1 (+.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 6 (/.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) x)) (*.f64 3 (/.f64 (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)))))) |
(+.f64 1 (+.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 3 (/.f64 (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (+.f64 (*.f64 6 (/.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) x)) (*.f64 9 (/.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))))) |
(+.f64 1 (+.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 3 (/.f64 (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (+.f64 (*.f64 6 (/.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) x)) (*.f64 9 (/.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))))) |
(+.f64 1 (+.f64 (exp.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3))))) |
(+.f64 (exp.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -3 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))) (*.f64 -6 (exp.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))))) |
(+.f64 (exp.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -3 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))) (*.f64 -6 (exp.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))))) x)) (+.f64 (*.f64 9 (/.f64 (exp.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))) (pow.f64 x 2))) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3))))))) |
(+.f64 (exp.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -3 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))) (*.f64 -6 (exp.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))))) x)) (+.f64 (*.f64 9 (/.f64 (exp.f64 (*.f64 2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))) (pow.f64 x 2))) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3))))))) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(/.f64 (-.f64 (exp.f64 (*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 1) (+.f64 1 (+.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))))) |
(-.f64 (+.f64 (*.f64 9 (/.f64 (exp.f64 (*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))))) x))) (/.f64 (exp.f64 (*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 1 (+.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))))))) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 1) (+.f64 (*.f64 3 (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 6 (exp.f64 (*.f64 2 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))))))) (*.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2) x)) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (*.f64 2 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (exp.f64 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))))))) |
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(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 1) |
(pow.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))) 1) |
(pow.f64 (sqrt.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))) 3) 1/3) |
(sqrt.f64 (*.f64 9 (pow.f64 (log1p.f64 (*.f64 1/3 x)) 2))) |
(log.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 3)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) |
(exp.f64 (log.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) |
(-.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 1 (+.f64 (*.f64 1/3 x) 2))) |
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(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 3) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) 3)) 1) (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (*.f64 1/3 x))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 3) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (*.f64 1/3 x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (*.f64 1/3 x)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 3) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (*.f64 1/3 x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (*.f64 1/3 x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (*.f64 1/3 x)))))) |
(pow.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)) 1) |
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 3) |
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)) 2)) |
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) |
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) |
(fma.f64 1 (+.f64 (*.f64 1/3 x) 1) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) |
(fma.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (+.f64 (*.f64 1/3 x) 1)) |
(fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) (+.f64 (*.f64 1/3 x) 1)) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 1/3 x) 1)) (sqrt.f64 (+.f64 (*.f64 1/3 x) 1)) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) (+.f64 (*.f64 1/3 x) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/3 x) 1)) 2) (cbrt.f64 (+.f64 (*.f64 1/3 x) 1)) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) 1) |
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 3) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) |
(*.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) |
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 1) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 2) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (/.f64 -1 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2)) (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) 2))) (-.f64 (*.f64 1/3 x) (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 3) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) 3))) (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (*.f64 1/3 x))))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 2) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2)) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 3) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) -1) |
(neg.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2)) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) x) |
(fma.f64 -1/6 (*.f64 x x) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 1/27 (pow.f64 x 3)) x)) |
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/27 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/108 (pow.f64 x 4)) (+.f64 (*.f64 1/27 (pow.f64 x 3)) x))) |
(fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/108 (pow.f64 x 4) (fma.f64 1/27 (pow.f64 x 3) x))) |
(*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(*.f64 3 (+.f64 (log.f64 1/3) (neg.f64 (neg.f64 (log.f64 x))))) |
(*.f64 3 (+.f64 (log.f64 1/3) (log.f64 x))) |
(+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) |
(+.f64 (*.f64 3 (+.f64 (log.f64 1/3) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 9 x)) |
(fma.f64 3 (+.f64 (log.f64 1/3) (log.f64 x)) (/.f64 9 x)) |
(-.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 27/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 9 x) (-.f64 (*.f64 3 (+.f64 (log.f64 1/3) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 27/2 (*.f64 x x)))) |
(+.f64 (fma.f64 3 (+.f64 (log.f64 1/3) (log.f64 x)) (/.f64 9 x)) (/.f64 -27/2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 27 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (+.f64 (log.f64 1/3) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 27/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 9 x) (-.f64 (+.f64 (*.f64 3 (+.f64 (log.f64 1/3) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 27 (pow.f64 x 3))) (/.f64 27/2 (*.f64 x x)))) |
(+.f64 (/.f64 9 x) (+.f64 (fma.f64 3 (+.f64 (log.f64 1/3) (log.f64 x)) (/.f64 27 (pow.f64 x 3))) (/.f64 -27/2 (*.f64 x x)))) |
(*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3))) |
(*.f64 3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1/3))) |
(*.f64 3 (-.f64 (log.f64 -1/3) (log.f64 (/.f64 -1 x)))) |
(+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))) |
(+.f64 (/.f64 9 x) (*.f64 3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1/3)))) |
(fma.f64 3 (-.f64 (log.f64 -1/3) (log.f64 (/.f64 -1 x))) (/.f64 9 x)) |
(-.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3)))) (*.f64 27/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 9 x) (-.f64 (*.f64 3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1/3))) (/.f64 27/2 (*.f64 x x)))) |
(+.f64 (/.f64 9 x) (fma.f64 3 (-.f64 (log.f64 -1/3) (log.f64 (/.f64 -1 x))) (/.f64 -27/2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 27 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1/3))))) (*.f64 27/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 9 x) (-.f64 (+.f64 (/.f64 27 (pow.f64 x 3)) (*.f64 3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1/3)))) (/.f64 27/2 (*.f64 x x)))) |
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3 |
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(*.f64 1/3 x) |
(*.f64 x 1/3) |
(*.f64 1/3 x) |
(*.f64 x 1/3) |
(*.f64 1/3 x) |
(*.f64 x 1/3) |
(*.f64 1/3 x) |
(*.f64 x 1/3) |
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(pow.f64 (pow.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))) 3) 1/3) |
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(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 3) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) 3))) (+.f64 (pow.f64 (+.f64 (*.f64 1/3 x) 1) 2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))) (-.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (*.f64 1/3 x))))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (*.f64 -1/3 x)))) (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3)))) 3)))) |
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (/.f64 (fma.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (*.f64 x -1/3)) (pow.f64 (fma.f64 x 1/3 1) 2)) (+.f64 (pow.f64 (fma.f64 x 1/3 1) 3) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3)))) 3)))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 2) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2)) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2)))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3))))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3))))) 2)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) 2)) |
(pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 1) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 2) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 3) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 3) 1/3) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x))))) -1) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(neg.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) 2)) |
(fabs.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2)))) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))) 3)) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2)))) 1)) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x))) (+.f64 (*.f64 1/3 x) 2))))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 1/3 x 2))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/3)))) (+.f64 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 x 1/3))) (fma.f64 x 1/3 2))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 1/3 x) |
| ✓ | 27.5b | (*.f64 (/.f64 1/3 x) (*.f64 x x)) |
Compiled 16 to 8 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 1/3 x) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1/3 x) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1/3 x) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1/3 x) (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 1/3 x) |
| 1× | batch-egg-rewrite |
| 1466× | add-sqr-sqrt |
| 1440× | *-un-lft-identity |
| 1350× | add-cube-cbrt |
| 1334× | add-cbrt-cube |
| 1322× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 26 |
| 1 | 151 | 26 |
| 2 | 1909 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1/3 x) (*.f64 x x)) |
(/.f64 1/3 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -1/3) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 (*.f64 x x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (/.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 x))))))) |
| 1× | egg-herbie |
| 1136× | associate-/l* |
| 974× | unswap-sqr |
| 876× | associate-*r/ |
| 760× | associate-+r- |
| 746× | associate-+l- |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 657 |
| 1 | 245 | 537 |
| 2 | 1252 | 405 |
| 3 | 7078 | 405 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 1) |
(/.f64 1/3 (/.f64 x (*.f64 x x))) |
(/.f64 (*.f64 x x) (*.f64 x 3)) |
(/.f64 1 (/.f64 x (*.f64 1/3 (*.f64 x x)))) |
(/.f64 (*.f64 1/3 (*.f64 x x)) x) |
(/.f64 (*.f64 (*.f64 x x) -1/3) (neg.f64 x)) |
(/.f64 (*.f64 -1/3 (*.f64 x x)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) 1) x) |
(/.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 1/3 (*.f64 x x))) (neg.f64 x)) |
(pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 1) |
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) (/.f64 1/9 (*.f64 x x)))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 1/3 x))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))))) |
(-.f64 (+.f64 1 (/.f64 1/3 x)) 1) |
(*.f64 1/3 (/.f64 1 x)) |
(*.f64 (/.f64 1/3 x) 1) |
(*.f64 1 (/.f64 1/3 x)) |
(*.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x))) |
(*.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x))) |
(*.f64 (/.f64 1 x) 1/3) |
(*.f64 -1/3 (/.f64 1 (neg.f64 x))) |
(pow.f64 (/.f64 1/3 x) 1) |
(pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3) |
(pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3) |
(pow.f64 (*.f64 x 3) -1) |
(sqrt.f64 (/.f64 1/9 (*.f64 x x))) |
(log.f64 (exp.f64 (/.f64 1/3 x))) |
(cbrt.f64 (pow.f64 (/.f64 1/3 x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1/3 x))) |
(exp.f64 (log.f64 (/.f64 1/3 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1/3 x))) |
| Outputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 1) |
(*.f64 1/3 x) |
(/.f64 1/3 (/.f64 x (*.f64 x x))) |
(*.f64 1/3 x) |
(/.f64 (*.f64 x x) (*.f64 x 3)) |
(*.f64 1/3 x) |
(/.f64 1 (/.f64 x (*.f64 1/3 (*.f64 x x)))) |
(*.f64 1/3 x) |
(/.f64 (*.f64 1/3 (*.f64 x x)) x) |
(*.f64 1/3 x) |
(/.f64 (*.f64 (*.f64 x x) -1/3) (neg.f64 x)) |
(*.f64 1/3 x) |
(/.f64 (*.f64 -1/3 (*.f64 x x)) (neg.f64 x)) |
(*.f64 1/3 x) |
(/.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) 1) x) |
(*.f64 1/3 x) |
(/.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 1/3 x) |
(/.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 1/3 x) |
(/.f64 (neg.f64 (*.f64 1/3 (*.f64 x x))) (neg.f64 x)) |
(*.f64 1/3 x) |
(pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 1) |
(*.f64 1/3 x) |
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 x))) 2) |
(*.f64 1/3 x) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 3) |
(*.f64 1/3 x) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 3) 1/3) |
(*.f64 1/3 x) |
(sqrt.f64 (*.f64 (pow.f64 x 4) (/.f64 1/9 (*.f64 x x)))) |
(sqrt.f64 (*.f64 (*.f64 x x) 1/9)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 1/3 x))) |
(*.f64 1/3 x) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))) 3)) |
(*.f64 1/3 x) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))))) |
(*.f64 1/3 x) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))))) |
(*.f64 1/3 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 x)))) 1)) |
(*.f64 1/3 x) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 1/3 x))))) |
(*.f64 1/3 x) |
(-.f64 (+.f64 1 (/.f64 1/3 x)) 1) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(*.f64 1/3 (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(*.f64 (/.f64 1/3 x) 1) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(*.f64 1 (/.f64 1/3 x)) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(*.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x))) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(*.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x))) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(*.f64 (/.f64 1 x) 1/3) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(*.f64 -1/3 (/.f64 1 (neg.f64 x))) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(pow.f64 (/.f64 1/3 x) 1) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(pow.f64 (*.f64 x 3) -1) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(sqrt.f64 (/.f64 1/9 (*.f64 x x))) |
(log.f64 (exp.f64 (/.f64 1/3 x))) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(cbrt.f64 (pow.f64 (/.f64 1/3 x) 3)) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(expm1.f64 (log1p.f64 (/.f64 1/3 x))) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(exp.f64 (log.f64 (/.f64 1/3 x))) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 x)) 1)) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(log1p.f64 (expm1.f64 (/.f64 1/3 x))) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 x (*.f64 1/3 x)) |
| 0.3b | (*.f64 1/3 x) | |
| ✓ | 27.5b | (/.f64 (*.f64 x (*.f64 1/3 x)) x) |
Compiled 18 to 11 computations (38.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 x (*.f64 1/3 x)) x) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x (*.f64 1/3 x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 x (*.f64 1/3 x)) x) |
| 0.0ms | x | @ | 0 | (*.f64 x (*.f64 1/3 x)) |
| 0.0ms | x | @ | inf | (*.f64 x (*.f64 1/3 x)) |
| 1× | batch-egg-rewrite |
| 1620× | add-sqr-sqrt |
| 1602× | *-un-lft-identity |
| 1502× | add-cube-cbrt |
| 1480× | add-cbrt-cube |
| 146× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 32 |
| 1 | 148 | 32 |
| 2 | 1975 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (*.f64 1/3 x)) x) |
(*.f64 x (*.f64 1/3 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 1/3) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 3 (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) (*.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/3)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x x) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2) (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (*.f64 x 1/3))) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x x) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x (*.f64 x 1/3)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x 1/3)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (*.f64 x 1/3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 x 1/3) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) 1) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) (cbrt.f64 (*.f64 x x))) (/.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) 1) (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 x (*.f64 x 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/3)))))))) |
| 1× | egg-herbie |
| 1226× | associate-/r/ |
| 1222× | associate-/l/ |
| 982× | unswap-sqr |
| 894× | *-commutative |
| 678× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 1075 |
| 1 | 388 | 991 |
| 2 | 2290 | 991 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) 1) |
(*.f64 x (*.f64 (*.f64 x 1/3) (/.f64 1 x))) |
(*.f64 x (/.f64 1 (*.f64 3 (/.f64 x x)))) |
(*.f64 (*.f64 x 1/3) (*.f64 x (/.f64 1 x))) |
(*.f64 (*.f64 x (*.f64 x 1/3)) (/.f64 1 x)) |
(*.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 1) |
(*.f64 1 (*.f64 (/.f64 x x) (*.f64 x 1/3))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2) (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) |
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3))) |
(*.f64 (*.f64 x (neg.f64 (*.f64 x 1/3))) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 x x) (*.f64 x 1/3)) |
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x 1/3) x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x (*.f64 x 1/3)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x 1/3)) (cbrt.f64 x))) |
(*.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (*.f64 x 1/3) (sqrt.f64 x))) |
(*.f64 (/.f64 x (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 x 1/3) (cbrt.f64 x))) |
(*.f64 (/.f64 (*.f64 x 1/3) 1) (/.f64 x x)) |
(*.f64 (/.f64 (*.f64 x 1/3) (cbrt.f64 (*.f64 x x))) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) 1) (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) |
(pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 3) 1/3) |
(pow.f64 (/.f64 x (*.f64 x (*.f64 x 1/3))) -1) |
(neg.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/3)))) 1) |
(pow.f64 (*.f64 x (*.f64 x 1/3)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/3))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/3))))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/3)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/3)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/3))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/3)))) |
| Outputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) 1) |
(*.f64 1/3 x) |
(*.f64 x (*.f64 (*.f64 x 1/3) (/.f64 1 x))) |
(*.f64 1/3 x) |
(*.f64 x (/.f64 1 (*.f64 3 (/.f64 x x)))) |
(*.f64 1/3 x) |
(*.f64 (*.f64 x 1/3) (*.f64 x (/.f64 1 x))) |
(*.f64 1/3 x) |
(*.f64 (*.f64 x (*.f64 x 1/3)) (/.f64 1 x)) |
(*.f64 1/3 x) |
(*.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 1) |
(*.f64 1/3 x) |
(*.f64 1 (*.f64 (/.f64 x x) (*.f64 x 1/3))) |
(*.f64 1/3 x) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (/.f64 1 x))) |
(*.f64 1/3 x) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) |
(*.f64 1/3 x) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (/.f64 1 x))) |
(*.f64 1/3 x) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2)) |
(*.f64 1/3 x) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2) (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) |
(*.f64 1/3 x) |
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3))) |
(*.f64 1/3 x) |
(*.f64 (*.f64 x (neg.f64 (*.f64 x 1/3))) (/.f64 1 (neg.f64 x))) |
(*.f64 x (*.f64 (*.f64 x -1/3) (/.f64 1 (neg.f64 x)))) |
(/.f64 (neg.f64 x) -3) |
(*.f64 (/.f64 x x) (*.f64 x 1/3)) |
(*.f64 1/3 x) |
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x 1/3) x)) |
(*.f64 1/3 x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x (*.f64 x 1/3)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x))) |
(*.f64 (*.f64 (/.f64 x (sqrt.f64 x)) 1/3) (/.f64 x (sqrt.f64 x))) |
(*.f64 (*.f64 1/3 (/.f64 x (sqrt.f64 x))) (/.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x 1/3)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 x (/.f64 (cbrt.f64 x) (*.f64 1/3 x)))) |
(*.f64 (/.f64 (*.f64 1/3 x) (cbrt.f64 (*.f64 x x))) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x))) |
(*.f64 (*.f64 (/.f64 x (sqrt.f64 x)) 1/3) (/.f64 x (sqrt.f64 x))) |
(*.f64 (*.f64 1/3 (/.f64 x (sqrt.f64 x))) (/.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (*.f64 x 1/3) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x))) |
(*.f64 (*.f64 (/.f64 x (sqrt.f64 x)) 1/3) (/.f64 x (sqrt.f64 x))) |
(*.f64 (*.f64 1/3 (/.f64 x (sqrt.f64 x))) (/.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 x (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 x 1/3) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 x (/.f64 (cbrt.f64 x) (*.f64 1/3 x)))) |
(*.f64 (/.f64 (*.f64 1/3 x) (cbrt.f64 (*.f64 x x))) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (*.f64 x 1/3) 1) (/.f64 x x)) |
(*.f64 1/3 x) |
(*.f64 (/.f64 (*.f64 x 1/3) (cbrt.f64 (*.f64 x x))) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 x (/.f64 (cbrt.f64 x) (*.f64 1/3 x)))) |
(*.f64 (/.f64 (*.f64 1/3 x) (cbrt.f64 (*.f64 x x))) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) 1) (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) x)) |
(*.f64 1/3 x) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 x (/.f64 (cbrt.f64 x) (*.f64 1/3 x)))) |
(*.f64 (/.f64 (*.f64 1/3 x) (cbrt.f64 (*.f64 x x))) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) x)) |
(*.f64 1/3 x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x))) |
(*.f64 (*.f64 (/.f64 x (sqrt.f64 x)) 1/3) (/.f64 x (sqrt.f64 x))) |
(*.f64 (*.f64 1/3 (/.f64 x (sqrt.f64 x))) (/.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) |
(*.f64 (cbrt.f64 (*.f64 1/3 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) 2) (cbrt.f64 (*.f64 x x)))) |
(pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 1) |
(*.f64 1/3 x) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 2) |
(*.f64 1/3 x) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 3) |
(*.f64 1/3 x) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 3) 1/3) |
(*.f64 1/3 x) |
(pow.f64 (/.f64 x (*.f64 x (*.f64 x 1/3))) -1) |
(*.f64 1/3 x) |
(neg.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) (neg.f64 x))) |
(*.f64 x (*.f64 (*.f64 x -1/3) (/.f64 1 (neg.f64 x)))) |
(/.f64 (neg.f64 x) -3) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 2)) |
(*.f64 1/3 x) |
(log.f64 (exp.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) |
(*.f64 1/3 x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))))) |
(*.f64 1/3 x) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)) 3)) |
(*.f64 1/3 x) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) |
(*.f64 1/3 x) |
(exp.f64 (log.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) |
(*.f64 1/3 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3))) 1)) |
(*.f64 1/3 x) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x x) (*.f64 x 1/3)))) |
(*.f64 1/3 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/3)))) 1) |
(*.f64 1/3 (*.f64 x x)) |
(pow.f64 (*.f64 x (*.f64 x 1/3)) 1) |
(*.f64 1/3 (*.f64 x x)) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/3))) 2) |
(*.f64 1/3 (*.f64 x x)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 3) |
(*.f64 1/3 (*.f64 x x)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3) 1/3) |
(*.f64 1/3 (*.f64 x x)) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 2)) |
(*.f64 1/3 (*.f64 x x)) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/3))) |
(*.f64 1/3 (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/3))))) |
(*.f64 1/3 (*.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3)) |
(*.f64 1/3 (*.f64 x x)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/3)))) |
(*.f64 1/3 (*.f64 x x)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/3)))) |
(*.f64 1/3 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/3))) 1)) |
(*.f64 1/3 (*.f64 x x)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/3)))) |
(*.f64 1/3 (*.f64 x x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 x (*.f64 x 1/9)) |
| ✓ | 0.4b | (*.f64 x 1/9) |
| ✓ | 27.5b | (sqrt.f64 (*.f64 x (*.f64 x 1/9))) |
Compiled 17 to 11 computations (35.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (*.f64 x 1/9) |
| 0.0ms | x | @ | -inf | (*.f64 x 1/9) |
| 0.0ms | x | @ | inf | (*.f64 x 1/9) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (*.f64 x (*.f64 x 1/9))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (*.f64 x (*.f64 x 1/9))) |
| 1× | batch-egg-rewrite |
| 1418× | add-sqr-sqrt |
| 1400× | *-un-lft-identity |
| 1306× | add-cube-cbrt |
| 1290× | add-cbrt-cube |
| 1276× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 37 |
| 1 | 160 | 27 |
| 2 | 1817 | 27 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 x (*.f64 x 1/9))) |
(*.f64 x 1/9) |
(*.f64 x (*.f64 x 1/9)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 1/2) (pow.f64 1/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/9))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/9) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/9)))))))) |
| 1× | egg-herbie |
| 900× | associate-/l* |
| 784× | log-prod |
| 630× | *-commutative |
| 458× | fma-def |
| 458× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 759 |
| 1 | 259 | 759 |
| 2 | 1084 | 759 |
| 3 | 3034 | 759 |
| 4 | 5809 | 759 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 -1/3 x) |
(*.f64 -1/3 x) |
(*.f64 -1/3 x) |
(*.f64 -1/3 x) |
(*.f64 1/9 x) |
(*.f64 1/9 x) |
(*.f64 1/9 x) |
(*.f64 1/9 x) |
(*.f64 1/9 x) |
(*.f64 1/9 x) |
(*.f64 1/9 x) |
(*.f64 1/9 x) |
(*.f64 1/9 x) |
(*.f64 1/9 x) |
(*.f64 1/9 x) |
(*.f64 1/9 x) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 1/9 (pow.f64 x 2)) |
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1) |
(*.f64 x 1/3) |
(*.f64 (*.f64 x 1/3) 1) |
(*.f64 1 (*.f64 x 1/3)) |
(*.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3))) |
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 1/3 (sqrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x (*.f64 x 1/9)))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 x 1/3))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))))) |
(*.f64 (pow.f64 1 1/2) (*.f64 x 1/3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 1/2)) |
(*.f64 (pow.f64 (*.f64 x x) 1/2) (pow.f64 1/9 1/2)) |
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2) |
(pow.f64 (*.f64 x 1/3) 1) |
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3) |
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3) |
(fabs.f64 (*.f64 x 1/3)) |
(log.f64 (exp.f64 (*.f64 x 1/3))) |
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x 1/3))) |
(exp.f64 (log.f64 (*.f64 x 1/3))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1/2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x 1/3))) |
(-.f64 (+.f64 1 (*.f64 x 1/9)) 1) |
(pow.f64 (*.f64 x 1/9) 1) |
(pow.f64 (*.f64 1/3 (sqrt.f64 x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3) |
(pow.f64 (pow.f64 (*.f64 x 1/9) 3) 1/3) |
(sqrt.f64 (*.f64 1/81 (*.f64 x x))) |
(log.f64 (pow.f64 (exp.f64 1/9) x)) |
(cbrt.f64 (pow.f64 (*.f64 x 1/9) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x 1/9))) |
(exp.f64 (log.f64 (*.f64 x 1/9))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/9)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x 1/9))) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/9))) 1) |
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1) |
(pow.f64 (*.f64 x 1/3) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 2) 1/2) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/9) x) x)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/9)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/9)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/9)))) |
| Outputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 -1/3 x) |
(*.f64 x -1/3) |
(*.f64 -1/3 x) |
(*.f64 x -1/3) |
(*.f64 -1/3 x) |
(*.f64 x -1/3) |
(*.f64 -1/3 x) |
(*.f64 x -1/3) |
(*.f64 1/9 x) |
(*.f64 x 1/9) |
(*.f64 1/9 x) |
(*.f64 x 1/9) |
(*.f64 1/9 x) |
(*.f64 x 1/9) |
(*.f64 1/9 x) |
(*.f64 x 1/9) |
(*.f64 1/9 x) |
(*.f64 x 1/9) |
(*.f64 1/9 x) |
(*.f64 x 1/9) |
(*.f64 1/9 x) |
(*.f64 x 1/9) |
(*.f64 1/9 x) |
(*.f64 x 1/9) |
(*.f64 1/9 x) |
(*.f64 x 1/9) |
(*.f64 1/9 x) |
(*.f64 x 1/9) |
(*.f64 1/9 x) |
(*.f64 x 1/9) |
(*.f64 1/9 x) |
(*.f64 x 1/9) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/9)) |
(*.f64 1/9 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 1/9)) |
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1) |
(*.f64 1/3 x) |
(*.f64 x 1/3) |
(*.f64 1/3 x) |
(*.f64 (*.f64 x 1/3) 1) |
(*.f64 1/3 x) |
(*.f64 1 (*.f64 x 1/3)) |
(*.f64 1/3 x) |
(*.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3))) |
(*.f64 1/3 x) |
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 1/3 x) |
(*.f64 (sqrt.f64 x) (*.f64 1/3 (sqrt.f64 x))) |
(*.f64 1/3 x) |
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x (*.f64 x 1/9)))) |
(*.f64 1/3 x) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (cbrt.f64 (*.f64 x 1/3))) |
(*.f64 1/3 x) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))))) |
(*.f64 1/3 x) |
(*.f64 (pow.f64 1 1/2) (*.f64 x 1/3)) |
(*.f64 1/3 x) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 1/2)) |
(*.f64 1/3 x) |
(*.f64 (pow.f64 (*.f64 x x) 1/2) (pow.f64 1/9 1/2)) |
(*.f64 1/3 x) |
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2) |
(*.f64 1/3 x) |
(pow.f64 (*.f64 x 1/3) 1) |
(*.f64 1/3 x) |
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2) |
(*.f64 1/3 x) |
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3) |
(*.f64 1/3 x) |
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3) |
(*.f64 1/3 x) |
(fabs.f64 (*.f64 x 1/3)) |
(*.f64 1/3 x) |
(log.f64 (exp.f64 (*.f64 x 1/3))) |
(*.f64 1/3 x) |
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3)) |
(*.f64 1/3 x) |
(expm1.f64 (log1p.f64 (*.f64 x 1/3))) |
(*.f64 1/3 x) |
(exp.f64 (log.f64 (*.f64 x 1/3))) |
(*.f64 1/3 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1/2)) |
(*.f64 1/3 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1)) |
(*.f64 1/3 x) |
(log1p.f64 (expm1.f64 (*.f64 x 1/3))) |
(*.f64 1/3 x) |
(-.f64 (+.f64 1 (*.f64 x 1/9)) 1) |
(*.f64 x 1/9) |
(pow.f64 (*.f64 x 1/9) 1) |
(*.f64 x 1/9) |
(pow.f64 (*.f64 1/3 (sqrt.f64 x)) 2) |
(*.f64 x 1/9) |
(pow.f64 (cbrt.f64 (*.f64 x 1/9)) 3) |
(*.f64 x 1/9) |
(pow.f64 (pow.f64 (*.f64 x 1/9) 3) 1/3) |
(*.f64 x 1/9) |
(sqrt.f64 (*.f64 1/81 (*.f64 x x))) |
(*.f64 x 1/9) |
(log.f64 (pow.f64 (exp.f64 1/9) x)) |
(*.f64 x 1/9) |
(cbrt.f64 (pow.f64 (*.f64 x 1/9) 3)) |
(*.f64 x 1/9) |
(expm1.f64 (log1p.f64 (*.f64 x 1/9))) |
(*.f64 x 1/9) |
(exp.f64 (log.f64 (*.f64 x 1/9))) |
(*.f64 x 1/9) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/9)) 1)) |
(*.f64 x 1/9) |
(log1p.f64 (expm1.f64 (*.f64 x 1/9))) |
(*.f64 x 1/9) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/9))) 1) |
(*.f64 x (*.f64 x 1/9)) |
(pow.f64 (*.f64 x (*.f64 x 1/9)) 1) |
(*.f64 x (*.f64 x 1/9)) |
(pow.f64 (*.f64 x 1/3) 2) |
(*.f64 x (*.f64 x 1/9)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/9))) 3) |
(*.f64 x (*.f64 x 1/9)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 2) 1/2) |
(*.f64 x (*.f64 x 1/9)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3) 1/3) |
(*.f64 x (*.f64 x 1/9)) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 2)) |
(*.f64 x (*.f64 x 1/9)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/9) x) x)) |
(*.f64 x (*.f64 x 1/9)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/9)) 3)) |
(*.f64 x (*.f64 x 1/9)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/9)))) |
(*.f64 x (*.f64 x 1/9)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 1/9)))) |
(*.f64 x (*.f64 x 1/9)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/9))) 1)) |
(*.f64 x (*.f64 x 1/9)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/9)))) |
(*.f64 x (*.f64 x 1/9)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) |
| ✓ | 0.2b | (*.f64 1/3 (sqrt.f64 x)) |
Compiled 16 to 8 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 1/3 (sqrt.f64 x)) |
| 1.0ms | x | @ | -inf | (*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) |
| 0.0ms | x | @ | 0 | (*.f64 1/3 (sqrt.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 1/3 (sqrt.f64 x)) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 1412× | add-sqr-sqrt |
| 1392× | *-un-lft-identity |
| 1294× | add-cube-cbrt |
| 1278× | add-cbrt-cube |
| 1264× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 18 |
| 1 | 158 | 18 |
| 2 | 1804 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (sqrt.f64 x)) |
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (sqrt.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x))))))) |
| 1× | egg-herbie |
| 1992× | distribute-rgt-in |
| 1980× | distribute-lft-in |
| 1146× | associate-*r* |
| 996× | associate-*l* |
| 640× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 442 |
| 1 | 150 | 376 |
| 2 | 548 | 304 |
| 3 | 3489 | 304 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) |
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) |
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) |
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) |
(-.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) 1) |
(pow.f64 (*.f64 1/3 (sqrt.f64 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 x))) 3) |
(pow.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3) 1/3) |
(sqrt.f64 (*.f64 x 1/9)) |
(log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 x))) |
(cbrt.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/3 (sqrt.f64 x)))) |
(exp.f64 (log.f64 (*.f64 1/3 (sqrt.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (sqrt.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/3 (sqrt.f64 x)))) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1) |
(pow.f64 (*.f64 1/3 x) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) |
(pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/3) |
(sqrt.f64 (*.f64 1/9 (*.f64 x x))) |
(log.f64 (pow.f64 (exp.f64 1/3) x)) |
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/3 x))) |
(exp.f64 (log.f64 (*.f64 1/3 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/3 x))) |
| Outputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) |
(*.f64 1/3 x) |
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) |
(*.f64 1/3 x) |
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) |
(*.f64 1/3 x) |
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) |
(*.f64 1/3 x) |
(-.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) 1) |
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1) |
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0) |
(*.f64 1/3 (sqrt.f64 x)) |
(pow.f64 (*.f64 1/3 (sqrt.f64 x)) 1) |
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1) |
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0) |
(*.f64 1/3 (sqrt.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 x))) 2) |
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1) |
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0) |
(*.f64 1/3 (sqrt.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 x))) 3) |
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1) |
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0) |
(*.f64 1/3 (sqrt.f64 x)) |
(pow.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3) 1/3) |
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1) |
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0) |
(*.f64 1/3 (sqrt.f64 x)) |
(sqrt.f64 (*.f64 x 1/9)) |
(log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 x))) |
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1) |
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0) |
(*.f64 1/3 (sqrt.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3)) |
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1) |
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0) |
(*.f64 1/3 (sqrt.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 1/3 (sqrt.f64 x)))) |
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1) |
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0) |
(*.f64 1/3 (sqrt.f64 x)) |
(exp.f64 (log.f64 (*.f64 1/3 (sqrt.f64 x)))) |
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1) |
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0) |
(*.f64 1/3 (sqrt.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (sqrt.f64 x))) 1)) |
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1) |
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0) |
(*.f64 1/3 (sqrt.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 1/3 (sqrt.f64 x)))) |
(+.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) -1) |
(+.f64 (*.f64 1/3 (sqrt.f64 x)) 0) |
(*.f64 1/3 (sqrt.f64 x)) |
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1) |
(*.f64 1/3 x) |
(pow.f64 (*.f64 1/3 x) 1) |
(*.f64 1/3 x) |
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) |
(*.f64 1/3 x) |
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) |
(*.f64 1/3 x) |
(pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/3) |
(*.f64 1/3 x) |
(sqrt.f64 (*.f64 1/9 (*.f64 x x))) |
(sqrt.f64 (pow.f64 (*.f64 1/3 x) 2)) |
(fabs.f64 (*.f64 1/3 x)) |
(log.f64 (pow.f64 (exp.f64 1/3) x)) |
(*.f64 1/3 x) |
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3)) |
(*.f64 1/3 x) |
(expm1.f64 (log1p.f64 (*.f64 1/3 x))) |
(*.f64 1/3 x) |
(exp.f64 (log.f64 (*.f64 1/3 x))) |
(*.f64 1/3 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1)) |
(*.f64 1/3 x) |
(log1p.f64 (expm1.f64 (*.f64 1/3 x))) |
(*.f64 1/3 x) |
Compiled 23017 to 19236 computations (16.4% saved)
14 alts after pruning (7 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 540 | 3 | 543 |
| Fresh | 9 | 4 | 13 |
| Picked | 1 | 0 | 1 |
| Done | 7 | 7 | 14 |
| Total | 557 | 14 | 571 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.5b | (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
| 59.5b | (/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) | |
| ✓ | 59.5b | (/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) x) |
| 59.7b | (/.f64 (+.f64 (+.f64 (*.f64 1/3 (*.f64 x x)) 1) -1) x) | |
| 28.0b | (/.f64 (*.f64 x x) (*.f64 x 3)) | |
| 0.5b | (/.f64 (neg.f64 x) -3) | |
| ✓ | 59.5b | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
| 58.7b | (-.f64 (+.f64 1 (*.f64 x 1/3)) 1) | |
| ✓ | 0.3b | (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))) |
| ✓ | 0.4b | (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) |
| ✓ | 0.5b | (+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
| 58.8b | (+.f64 1 (-.f64 (*.f64 1/3 x) 1)) | |
| 28.1b | (*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3))) | |
| ✓ | 0.9b | (*.f64 1/3 x) |
Compiled 141 to 109 computations (22.7% saved)
| Inputs |
|---|
(*.f64 1/3 x) |
(/.f64 (neg.f64 x) -3) |
(*.f64 (/.f64 1/3 x) (*.f64 x x)) |
(*.f64 (/.f64 1/3 (/.f64 1 x)) 1) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1) |
(/.f64 (*.f64 1/3 (*.f64 x x)) x) |
(/.f64 (*.f64 x x) (*.f64 x 3)) |
(/.f64 (*.f64 x (*.f64 1/3 x)) x) |
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3))) |
(/.f64 (+.f64 (+.f64 (*.f64 1/3 (*.f64 x x)) 1) -1) x) |
(sqrt.f64 (*.f64 1/9 (*.f64 x x))) |
(sqrt.f64 (*.f64 x (*.f64 x 1/9))) |
(pow.f64 (*.f64 3 (/.f64 1 x)) -1) |
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) x) |
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3)) |
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) |
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) |
(*.f64 (sqrt.f64 (*.f64 x 1/9)) (sqrt.f64 x)) |
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x) |
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) (tan.f64 x)) x) |
(*.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) |
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) |
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))) |
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x))) |
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/3 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/3 x)))))) |
| Outputs |
|---|
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))) |
2 calls:
| 56.0ms | x |
| 3.0ms | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
Compiled 333 to 229 computations (31.2% saved)
| Inputs |
|---|
(*.f64 1/3 x) |
(/.f64 (neg.f64 x) -3) |
(*.f64 (/.f64 1/3 x) (*.f64 x x)) |
(*.f64 (/.f64 1/3 (/.f64 1 x)) 1) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1) |
(/.f64 (*.f64 1/3 (*.f64 x x)) x) |
(/.f64 (*.f64 x x) (*.f64 x 3)) |
(/.f64 (*.f64 x (*.f64 1/3 x)) x) |
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3))) |
(/.f64 (+.f64 (+.f64 (*.f64 1/3 (*.f64 x x)) 1) -1) x) |
(sqrt.f64 (*.f64 1/9 (*.f64 x x))) |
(sqrt.f64 (*.f64 x (*.f64 x 1/9))) |
(pow.f64 (*.f64 3 (/.f64 1 x)) -1) |
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) x) |
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3)) |
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) |
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) |
(*.f64 (sqrt.f64 (*.f64 x 1/9)) (sqrt.f64 x)) |
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x) |
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) (tan.f64 x)) x) |
(*.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) |
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) |
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))) |
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
| Outputs |
|---|
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) |
2 calls:
| 14.0ms | x |
| 5.0ms | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | x |
| 0.4b | 1 | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
Compiled 275 to 180 computations (34.5% saved)
| Inputs |
|---|
(*.f64 1/3 x) |
(/.f64 (neg.f64 x) -3) |
(*.f64 (/.f64 1/3 x) (*.f64 x x)) |
(*.f64 (/.f64 1/3 (/.f64 1 x)) 1) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1) |
(/.f64 (*.f64 1/3 (*.f64 x x)) x) |
(/.f64 (*.f64 x x) (*.f64 x 3)) |
(/.f64 (*.f64 x (*.f64 1/3 x)) x) |
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3))) |
(/.f64 (+.f64 (+.f64 (*.f64 1/3 (*.f64 x x)) 1) -1) x) |
(sqrt.f64 (*.f64 1/9 (*.f64 x x))) |
(sqrt.f64 (*.f64 x (*.f64 x 1/9))) |
(pow.f64 (*.f64 3 (/.f64 1 x)) -1) |
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) x) |
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3)) |
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) |
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) |
(*.f64 (sqrt.f64 (*.f64 x 1/9)) (sqrt.f64 x)) |
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x) |
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) (tan.f64 x)) x) |
(*.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) |
| Outputs |
|---|
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
2 calls:
| 14.0ms | x |
| 3.0ms | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 1 | x |
| 0.5b | 1 | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
Compiled 230 to 147 computations (36.1% saved)
| Inputs |
|---|
(*.f64 1/3 x) |
(/.f64 (neg.f64 x) -3) |
(*.f64 (/.f64 1/3 x) (*.f64 x x)) |
(*.f64 (/.f64 1/3 (/.f64 1 x)) 1) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1) |
(/.f64 (*.f64 1/3 (*.f64 x x)) x) |
(/.f64 (*.f64 x x) (*.f64 x 3)) |
(/.f64 (*.f64 x (*.f64 1/3 x)) x) |
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3))) |
(/.f64 (+.f64 (+.f64 (*.f64 1/3 (*.f64 x x)) 1) -1) x) |
(sqrt.f64 (*.f64 1/9 (*.f64 x x))) |
(sqrt.f64 (*.f64 x (*.f64 x 1/9))) |
(pow.f64 (*.f64 3 (/.f64 1 x)) -1) |
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(/.f64 (+.f64 (-.f64 2 (/.f64 x (tan.f64 x))) -1) x) |
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3)) |
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) |
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2) |
(*.f64 (sqrt.f64 (*.f64 x 1/9)) (sqrt.f64 x)) |
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x)) |
| Outputs |
|---|
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
2 calls:
| 46.0ms | x |
| 3.0ms | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 1 | x |
| 0.5b | 1 | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
Compiled 192 to 127 computations (33.9% saved)
Total -59.8b remaining (-11283.3%)
Threshold costs -59.8b (-11283.3%)
| Inputs |
|---|
(*.f64 1/3 x) |
(/.f64 (neg.f64 x) -3) |
(*.f64 (/.f64 1/3 x) (*.f64 x x)) |
(*.f64 (/.f64 1/3 (/.f64 1 x)) 1) |
(+.f64 1 (-.f64 (*.f64 1/3 x) 1)) |
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1) |
(/.f64 (*.f64 1/3 (*.f64 x x)) x) |
(/.f64 (*.f64 x x) (*.f64 x 3)) |
(/.f64 (*.f64 x (*.f64 1/3 x)) x) |
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 1/3 (*.f64 x x))) |
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 x 1/3))) |
(/.f64 (+.f64 (+.f64 (*.f64 1/3 (*.f64 x x)) 1) -1) x) |
(sqrt.f64 (*.f64 1/9 (*.f64 x x))) |
(sqrt.f64 (*.f64 x (*.f64 x 1/9))) |
(pow.f64 (*.f64 3 (/.f64 1 x)) -1) |
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
(/.f64 (-.f64 1 (/.f64 x (tan.f64 x))) x) |
| Outputs |
|---|
(/.f64 (neg.f64 x) -3) |
2 calls:
| 9.0ms | x |
| 8.0ms | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 1 | x |
| 0.5b | 1 | (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) |
Compiled 141 to 92 computations (34.8% saved)
| 1× | egg-herbie |
| 16× | +-commutative |
| 12× | *-commutative |
| 4× | sub-neg |
| 4× | neg-mul-1 |
| 4× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 168 |
| 1 | 45 | 168 |
| 2 | 49 | 168 |
| 3 | 52 | 168 |
| 4 | 53 | 168 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))) |
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(/.f64 (neg.f64 x) -3) |
(*.f64 1/3 x) |
| Outputs |
|---|
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))) |
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))) |
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) |
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))) |
(/.f64 (neg.f64 x) -3) |
(*.f64 1/3 x) |
Compiled 66 to 53 computations (19.7% saved)
| 3× | egg-herbie |
| 1358× | associate-*r* |
| 1290× | associate-*l* |
| 1226× | associate-/r/ |
| 1222× | associate-/l/ |
| 1194× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 629 | 10615 |
| 1 | 1823 | 9809 |
| 0 | 134 | 1075 |
| 1 | 388 | 991 |
| 2 | 2290 | 991 |
| 0 | 486 | 9548 |
| 1 | 1374 | 9100 |
| 2 | 5474 | 9036 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 194 to 133 computations (31.4% saved)
Compiled 61 to 48 computations (21.3% saved)
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