Time bar (total: 16.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 8 |
| 1.6% | 1.6% | 98.2% | 0.2% | 0% | 0% | 0% | 9 |
| 2.3% | 2.3% | 97.5% | 0.2% | 0% | 0% | 0% | 10 |
| 11.7% | 11.7% | 88.1% | 0.2% | 0% | 0% | 0% | 11 |
| 13.1% | 12.3% | 81.3% | 0.2% | 0% | 6.2% | 0% | 12 |
Compiled 18 to 13 computations (27.8% saved)
| 1.8s | 1549× | body | 8192 | exit |
| 1.3s | 1781× | body | 1024 | valid |
| 1.3s | 4670× | body | 256 | valid |
| 729.0ms | 1465× | body | 512 | valid |
| 450.0ms | 340× | body | 2048 | valid |
| 317.0ms | 1974× | body | 256 | invalid |
| 116.0ms | 206× | body | 1024 | invalid |
| 78.0ms | 247× | body | 512 | invalid |
| 3.0ms | 22× | body | 256 | infinite |
| 0.0ms | 1× | body | 512 | infinite |
| 2× | egg-herbie |
| 1100× | associate-+l- |
| 844× | associate-*r/ |
| 804× | associate--l+ |
| 798× | associate-+r- |
| 786× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 273 |
| 1 | 96 | 245 |
| 2 | 238 | 231 |
| 3 | 502 | 231 |
| 4 | 1084 | 189 |
| 5 | 2906 | 189 |
| 6 | 5231 | 189 |
| 7 | 6653 | 189 |
| 0 | 4 | 4 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
3 |
| Outputs |
|---|
0 |
1 |
2 |
3 |
| Inputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 x (exp.f64 z)))) t)) |
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 x)))) t)) |
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) x)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 z) (*.f64 z (exp.f64 y)))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 t (exp.f64 z)))) y)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z)) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 x (exp.f64 z)))) t)) |
(-.f64 y (/.f64 (log.f64 (fma.f64 x (exp.f64 z) (-.f64 1 x))) t)) |
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (+.f64 -1 (exp.f64 z)))) t)) |
(-.f64 y (/.f64 (log1p.f64 (-.f64 (*.f64 x (exp.f64 z)) x)) t)) |
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (expm1.f64 z))) t)) |
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 x)))) t)) |
(-.f64 z (/.f64 (log.f64 (fma.f64 y (exp.f64 x) (-.f64 1 y))) t)) |
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 x)))) t)) |
(-.f64 z (/.f64 (log1p.f64 (fma.f64 y (exp.f64 x) (neg.f64 y))) t)) |
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) t)) |
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) x)) |
(-.f64 t (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) x)) |
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) x)) |
(-.f64 t (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) x)) |
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 z) (*.f64 z (exp.f64 y)))) t)) |
(-.f64 x (/.f64 (log.f64 (fma.f64 z (exp.f64 y) (-.f64 1 z))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 -1 (exp.f64 y)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 z (exp.f64 y)) z)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (expm1.f64 y))) t)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 t (exp.f64 z)))) y)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 (exp.f64 z) t))) y)) |
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) t (-.f64 1 t))) y)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (+.f64 -1 (exp.f64 z)))) y)) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) t) t)) y)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (expm1.f64 z))) y)) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z)) |
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 t) (-.f64 1 y))) z)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 t)))) z)) |
(-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 t) (neg.f64 y))) z)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 t))) z)) |
Compiled 21 to 16 computations (23.8% saved)
| 1× | egg-herbie |
| 924× | fma-def |
| 920× | *-commutative |
| 798× | associate--r+ |
| 782× | associate-/l* |
| 728× | associate-+l- |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 39 |
| 1 | 25 | 35 |
| 2 | 51 | 33 |
| 3 | 98 | 33 |
| 4 | 205 | 27 |
| 5 | 506 | 27 |
| 6 | 1005 | 27 |
| 7 | 1240 | 27 |
| 8 | 1353 | 27 |
| 9 | 1632 | 27 |
| 10 | 2449 | 27 |
| 11 | 4905 | 27 |
| 12 | 5557 | 27 |
| 13 | 6096 | 27 |
| 14 | 6879 | 27 |
| 15 | 7662 | 27 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 y (exp.f64 z)) y)) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
Compiled 60 to 33 computations (45% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 1 | 5 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 5 | 1 | 6 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.5b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
Compiled 13 to 9 computations (30.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| ✓ | 0.0b | (log1p.f64 (*.f64 y (expm1.f64 z))) |
| ✓ | 0.0b | (*.f64 y (expm1.f64 z)) |
| ✓ | 3.3b | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
Compiled 35 to 9 computations (74.3% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 67.0ms | z | @ | inf | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
| 20.0ms | z | @ | -inf | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
| 12.0ms | t | @ | 0 | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
| 9.0ms | t | @ | inf | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
| 2.0ms | x | @ | 0 | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| 1× | batch-egg-rewrite |
| 1346× | associate-*r/ |
| 944× | associate-*l/ |
| 816× | associate-/r* |
| 628× | associate-/l* |
| 544× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 74 |
| 1 | 248 | 74 |
| 2 | 3271 | 74 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(*.f64 y (expm1.f64 z)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| Outputs |
|---|
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(expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))))) |
| 1× | egg-herbie |
| 1090× | associate-*r* |
| 890× | associate-*l* |
| 656× | associate-/l* |
| 628× | +-commutative |
| 582× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 650 | 16946 |
| 1 | 1856 | 16234 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) |
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(/.f64 (*.f64 y z) t) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (*.f64 y z) t))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t))))) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2)))) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3)))))) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4))) (+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) |
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)))))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
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(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
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(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) |
(/.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (/.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (/.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) (/.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))) (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))) (-.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (+.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (*.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (*.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) 3)) (*.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))) (-.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (*.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))) 1) (-.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (*.f64 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) 1) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) 3)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) |
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3) |
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) |
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) |
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))) |
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))) |
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x |
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(/.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 2) (/.f64 (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 2) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))) |
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) t) (log1p.f64 (*.f64 (expm1.f64 z) y)))) (*.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (fma.f64 x x (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)))) |
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (*.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (fma.f64 x x (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2) 3)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2) 3)) (*.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (+.f64 (*.f64 x (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) t) (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 x (*.f64 x (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 6)) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (+.f64 (*.f64 x (pow.f64 x 3)) (+.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 6)) (*.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (pow.f64 x 3)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 6)) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (+.f64 (pow.f64 x 6) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 6) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (pow.f64 x 3)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) (pow.f64 x 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) 1) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) (*.f64 (sqrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (sqrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) (*.f64 (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (*.f64 (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (cbrt.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) 1) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (*.f64 (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))) |
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) |
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)) |
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(fma.f64 1 x (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)) |
(-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)) |
(-.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
Compiled 12054 to 4105 computations (65.9% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 386 | 18 | 404 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 386 | 19 | 405 |
| Status | Error | Program |
|---|---|---|
| ▶ | 17.3b | (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x) |
| 33.0b | (pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) | |
| 1.8b | (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3) | |
| 45.0b | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) | |
| 0.6b | (/.f64 1 (/.f64 1 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) | |
| ▶ | 0.5b | (-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) |
| 20.1b | (-.f64 x (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t)) | |
| ▶ | 0.8b | (-.f64 x (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) t)) |
| 17.3b | (-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) | |
| 18.6b | (-.f64 x (/.f64 (*.f64 y z) t)) | |
| ▶ | 13.4b | (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) |
| ✓ | 0.5b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| 0.6b | (-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) | |
| 13.0b | (-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) | |
| 20.6b | (-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) | |
| 18.5b | (-.f64 x (/.f64 y (/.f64 t z))) | |
| ▶ | 20.3b | (-.f64 x (*.f64 (/.f64 y t) z)) |
| 0.6b | (-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) | |
| 18.9b | x |
Compiled 496 to 355 computations (28.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| 0.0b | (*.f64 y (expm1.f64 z)) | |
| ✓ | 0.8b | (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) |
| ✓ | 3.3b | (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
Compiled 47 to 14 computations (70.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 262.0ms | y | @ | inf | (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) |
| 2.0ms | y | @ | -inf | (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) |
| 2.0ms | z | @ | 0 | (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 2.0ms | z | @ | 0 | (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) |
| 2.0ms | y | @ | -inf | (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 1× | batch-egg-rewrite |
| 1028× | *-commutative |
| 814× | associate-/r* |
| 778× | unswap-sqr |
| 662× | associate-*r/ |
| 628× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 1 | 242 | 42 |
| 2 | 2895 | 42 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1342× | associate-*r* |
| 1100× | associate-/l* |
| 1060× | associate-*l* |
| 1042× | *-commutative |
| 974× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 813 | 19906 |
| 1 | 2408 | 19860 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t)) |
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 t) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))) y)))) |
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 t) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))))) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))) y))))) |
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(/.f64 (pow.f64 t -1/2) (/.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1/2))) |
(/.f64 (pow.f64 1 -1/2) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1/2) (/.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1/2))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) -1/2) (/.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1/2))) |
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)) t) |
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) (sqrt.f64 t)) |
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t)) |
(/.f64 (*.f64 1 (/.f64 1 t)) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 t)) (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (sqrt.f64 t)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 t)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 1) t) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) 1) (sqrt.f64 t)) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) 1) (cbrt.f64 t)) |
(/.f64 (*.f64 (/.f64 1 t) 1) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) 1) |
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t))) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) 1) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t))) (sqrt.f64 t)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 t)) |
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 t) 1)) (/.f64 (sqrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1)) (/.f64 (cbrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (sqrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) t) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (neg.f64 t)) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (neg.f64 (sqrt.f64 t))) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (neg.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 t))) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (cbrt.f64 (neg.f64 t)) (cbrt.f64 (neg.f64 t)))) (cbrt.f64 (neg.f64 t))) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 (sqrt.f64 t))) (sqrt.f64 t)) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t)) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 1) t) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) 1) (sqrt.f64 t)) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (cbrt.f64 t)) (cbrt.f64 (sqrt.f64 t))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 (pow.f64 (cbrt.f64 t) 2))) (sqrt.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 (sqrt.f64 t))) (sqrt.f64 (sqrt.f64 t))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) 1) (cbrt.f64 t)) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (sqrt.f64 (cbrt.f64 t))) (sqrt.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t)))) (cbrt.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (sqrt.f64 t))) (cbrt.f64 (sqrt.f64 t))) |
(/.f64 (/.f64 (/.f64 1 t) (sqrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (/.f64 (/.f64 1 t) (*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) 1) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 t)) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (sqrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (sqrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(sqrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(exp.f64 (-.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (log.f64 t))) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
| Outputs |
|---|
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 t (*.f64 (expm1.f64 z) y)) |
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 1/2 t)) |
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)) |
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 t) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))) y)))) |
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (fma.f64 1/2 t (neg.f64 (*.f64 y (*.f64 (*.f64 t (expm1.f64 z)) 1/12))))) |
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (fma.f64 1/2 t (neg.f64 (*.f64 y (*.f64 (expm1.f64 z) (*.f64 t 1/12)))))) |
(+.f64 (/.f64 t (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/2 t) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))))) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/3 (*.f64 (-.f64 (exp.f64 z) 1) t))) y))))) |
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (fma.f64 1/2 t (*.f64 -1 (+.f64 (*.f64 (*.f64 y y) (fma.f64 -1/4 (*.f64 t (pow.f64 (expm1.f64 z) 2)) (fma.f64 1/2 (*.f64 (expm1.f64 z) (*.f64 (*.f64 t (expm1.f64 z)) 1/12)) (*.f64 (*.f64 t (pow.f64 (expm1.f64 z) 2)) 1/6)))) (*.f64 y (*.f64 (*.f64 t (expm1.f64 z)) 1/12)))))) |
(+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (fma.f64 1/2 t (fma.f64 -1 (*.f64 y (*.f64 y (fma.f64 -1/4 (*.f64 t (pow.f64 (expm1.f64 z) 2)) (fma.f64 1/2 (*.f64 (*.f64 t (pow.f64 (expm1.f64 z) 2)) 1/12) (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) 1/6)))))) (neg.f64 (*.f64 y (*.f64 (expm1.f64 z) (*.f64 t 1/12))))))) |
(/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) |
(+.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y))))) |
(+.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (neg.f64 t) (*.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)))) |
(+.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (neg.f64 t) (*.f64 (expm1.f64 z) (*.f64 y (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3))))) (pow.f64 y 2))) (+.f64 (/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y)))))) |
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 2)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (/.f64 (neg.f64 t) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)))) (*.f64 y y)) (+.f64 (/.f64 t (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (neg.f64 t) (*.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))))) |
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(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 (sqrt.f64 t))) (sqrt.f64 t))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 (pow.f64 (cbrt.f64 t) 2))) (sqrt.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (*.f64 (sqrt.f64 (cbrt.f64 t)) (sqrt.f64 (pow.f64 (cbrt.f64 t) 2)))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 t) 2)) (sqrt.f64 (cbrt.f64 t)))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 (sqrt.f64 t))) (sqrt.f64 (sqrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (*.f64 (sqrt.f64 (sqrt.f64 t)) (sqrt.f64 (sqrt.f64 t)))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) 1) (cbrt.f64 t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) 2))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (sqrt.f64 (cbrt.f64 t))) (sqrt.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (sqrt.f64 (cbrt.f64 t)) (sqrt.f64 (cbrt.f64 t)))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (cbrt.f64 t)))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t)))) (cbrt.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 t)) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t)))) (pow.f64 (cbrt.f64 t) 2))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (sqrt.f64 t))) (cbrt.f64 (sqrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (cbrt.f64 (sqrt.f64 t)) (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (sqrt.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 t)) (cbrt.f64 (sqrt.f64 t))) (pow.f64 (cbrt.f64 t) 2))) |
(/.f64 (/.f64 (/.f64 1 t) (sqrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (/.f64 1 t) (*.f64 (sqrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(/.f64 1 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))))) t)) |
(/.f64 (/.f64 (/.f64 1 t) (*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (/.f64 1 t) (*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) 1) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 t)) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 t))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (*.f64 (cbrt.f64 t) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (sqrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (sqrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (sqrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (cbrt.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) 2)))) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(sqrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -2)) |
(sqrt.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(exp.f64 (-.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (log.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.1b | (*.f64 (/.f64 y t) z) |
Compiled 23 to 7 computations (69.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 y t) z) |
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 y t) z) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 y t) z) |
| 0.0ms | t | @ | 0 | (*.f64 (/.f64 y t) z) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 y t) z) |
| 1× | batch-egg-rewrite |
| 1570× | add-sqr-sqrt |
| 1558× | *-un-lft-identity |
| 1446× | add-cube-cbrt |
| 1422× | add-cbrt-cube |
| 1408× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 145 | 13 |
| 2 | 1914 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 y t) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y t) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z))))))) |
| 1× | egg-herbie |
| 1548× | distribute-rgt-in |
| 1534× | distribute-lft-in |
| 954× | associate-*r* |
| 816× | associate-*l* |
| 506× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 754 |
| 1 | 142 | 754 |
| 2 | 551 | 754 |
| 3 | 3665 | 754 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1) |
(/.f64 y (/.f64 t z)) |
(/.f64 z (/.f64 t y)) |
(/.f64 1 (/.f64 t (*.f64 y z))) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 z (neg.f64 y)) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 t)) |
(/.f64 (/.f64 (*.f64 y z) 1) t) |
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t)) |
(/.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(/.f64 (neg.f64 (*.f64 y z)) (neg.f64 t)) |
(pow.f64 (*.f64 (/.f64 y t) z) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2)) |
(log.f64 (pow.f64 (exp.f64 z) (/.f64 y t))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z))) |
(exp.f64 (log.f64 (*.f64 (/.f64 y t) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) z)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z))) |
| Outputs |
|---|
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 1 (/.f64 t (*.f64 y z))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 z (neg.f64 y)) (neg.f64 t)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 t)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (/.f64 (*.f64 y z) 1) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (neg.f64 (*.f64 y z)) (neg.f64 t)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(pow.f64 (*.f64 (/.f64 y t) z) 1) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y t) z)) 2) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y t) z)) 3) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3) 1/3) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 2)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(log.f64 (pow.f64 (exp.f64 z) (/.f64 y t))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y t) z) 3)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y t) z))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(exp.f64 (log.f64 (*.f64 (/.f64 y t) z))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y t) z)) 1)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y t) z))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.3b | (/.f64 (log1p.f64 (*.f64 z y)) t) |
| ✓ | 3.4b | (log1p.f64 (*.f64 z y)) |
Compiled 29 to 8 computations (72.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | t | @ | 0 | (/.f64 (log1p.f64 (*.f64 z y)) t) |
| 4.0ms | t | @ | inf | (/.f64 (log1p.f64 (*.f64 z y)) t) |
| 0.0ms | z | @ | inf | (/.f64 (log1p.f64 (*.f64 z y)) t) |
| 0.0ms | z | @ | inf | (log1p.f64 (*.f64 z y)) |
| 0.0ms | z | @ | -inf | (log1p.f64 (*.f64 z y)) |
| 1× | batch-egg-rewrite |
| 1806× | add-sqr-sqrt |
| 1794× | *-un-lft-identity |
| 1658× | add-cube-cbrt |
| 1632× | add-cbrt-cube |
| 184× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 180 | 28 |
| 2 | 2238 | 28 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (*.f64 z y)) |
(/.f64 (log1p.f64 (*.f64 z y)) t) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (sqrt.f64 (log1p.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) (cbrt.f64 (log1p.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (*.f64 z y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 z y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 z y)) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 z y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (log1p.f64 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (*.f64 z y))) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 z y)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 z y)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (*.f64 z y)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))))))) |
| 1× | egg-herbie |
| 1430× | associate-*r/ |
| 1270× | associate-/l* |
| 1126× | associate-+l+ |
| 1122× | associate-/r* |
| 782× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 4274 |
| 1 | 671 | 4022 |
| 2 | 2928 | 4022 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (*.f64 y z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y z))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 y z) (*.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4)))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (/.f64 1 (*.f64 y z)) (log.f64 y))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (/.f64 1 (*.f64 y z)) (log.f64 y))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (/.f64 1 (*.f64 y z)) (log.f64 y)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))) |
(+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))) |
(+.f64 (log.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (/.f64 1 (*.f64 y z)))) |
(-.f64 (+.f64 (log.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (/.f64 1 (*.f64 y z)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (log.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (/.f64 1 (*.f64 y z))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))) |
(*.f64 y z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (*.f64 y z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y z))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 y z) (*.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4)))))) |
(+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (log.f64 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 1 (*.f64 y z)))) |
(-.f64 (+.f64 (log.f64 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 1 (*.f64 y z)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (log.f64 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 1 (*.f64 y z))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (*.f64 -1 z)) (/.f64 1 (*.f64 y z)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (*.f64 -1 z)) (/.f64 1 (*.f64 y z)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (log.f64 (*.f64 -1 z)) (/.f64 1 (*.f64 y z))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))) |
(/.f64 (*.f64 y z) t) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 (*.f64 y z) t) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) t)) (+.f64 (/.f64 (*.f64 y z) t) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t))))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t) |
(+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) t)) (/.f64 (log.f64 y) t))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) t)) (/.f64 (log.f64 y) t))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) t)) (+.f64 (/.f64 (log.f64 y) t) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) |
(/.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) |
(+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) t)) (/.f64 (log.f64 (*.f64 -1 y)) t))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) t)) (/.f64 (log.f64 (*.f64 -1 y)) t))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3))))) (/.f64 (log.f64 (*.f64 -1 y)) t)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) |
(/.f64 (*.f64 y z) t) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 (*.f64 y z) t) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) t)) (+.f64 (/.f64 (*.f64 y z) t) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t))))) |
(/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (/.f64 (log.f64 z) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (/.f64 (log.f64 z) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (/.f64 (log.f64 z) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z))) t) |
(+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 z)) t))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 z)) t))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (/.f64 (log.f64 (*.f64 -1 z)) t) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 z y)))) 1) |
(*.f64 (log1p.f64 (*.f64 z y)) 1) |
(*.f64 1 (log1p.f64 (*.f64 z y))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (sqrt.f64 (log1p.f64 (*.f64 z y)))) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) (cbrt.f64 (log1p.f64 (*.f64 z y)))) |
(pow.f64 (log1p.f64 (*.f64 z y)) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 z y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 z y)) 2)) |
(log.f64 (+.f64 (*.f64 z y) 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 z y)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 z y)))) |
(exp.f64 (log.f64 (log1p.f64 (*.f64 z y)))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 z y))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) 1) |
(*.f64 (log1p.f64 (*.f64 z y)) (/.f64 1 t)) |
(*.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 1) |
(*.f64 1 (/.f64 (log1p.f64 (*.f64 z y)) t)) |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (/.f64 1 t))) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) (/.f64 1 t))) |
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z y))) |
(*.f64 (neg.f64 (log1p.f64 (*.f64 z y))) (/.f64 1 (neg.f64 t))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 z y)) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 z y)) (cbrt.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) t)) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (cbrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) (sqrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 3) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 3) 1/3) |
(pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 z y)) (neg.f64 t))) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
| Outputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (*.f64 y z)) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 z z)) (*.f64 y z)) |
(fma.f64 y z (*.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 y z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y z))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 y z))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z (*.f64 (pow.f64 y 3) (*.f64 1/3 (pow.f64 z 3))))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 y z) (*.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4)))))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 y z (*.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4)))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 y z (*.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4)))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) (*.f64 y z)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) |
(fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 y)) |
(+.f64 (log.f64 y) (log.f64 z)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (/.f64 1 (*.f64 y z)) (log.f64 y))) |
(fma.f64 -1 (neg.f64 (log.f64 z)) (+.f64 (log.f64 y) (/.f64 1 (*.f64 y z)))) |
(+.f64 (/.f64 1 (*.f64 y z)) (+.f64 (log.f64 y) (log.f64 z))) |
(+.f64 (log.f64 y) (+.f64 (/.f64 (/.f64 1 z) y) (log.f64 z))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (/.f64 1 (*.f64 y z)) (log.f64 y))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (+.f64 (log.f64 y) (/.f64 1 (*.f64 y z)))) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 z z)))) |
(+.f64 (+.f64 (log.f64 y) (/.f64 1 (*.f64 y z))) (+.f64 (log.f64 z) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z)))))) |
(+.f64 (log.f64 y) (+.f64 (-.f64 (/.f64 (/.f64 1 z) y) (/.f64 (/.f64 1/2 y) (*.f64 y (*.f64 z z)))) (log.f64 z))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (/.f64 1 (*.f64 y z)) (log.f64 y)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (+.f64 (+.f64 (log.f64 y) (/.f64 1 (*.f64 y z))) (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))))) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 z z)))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (+.f64 (log.f64 y) (/.f64 1 (*.f64 y z))) (+.f64 (log.f64 z) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))))))) |
(+.f64 (log.f64 y) (+.f64 (+.f64 (/.f64 (/.f64 1 z) y) (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (log.f64 z) (/.f64 (/.f64 -1/2 y) (*.f64 y (*.f64 z z)))))) |
(+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))) |
(+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 -1 z)))) |
(-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z))) |
(+.f64 (log.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (/.f64 1 (*.f64 y z)))) |
(+.f64 (log.f64 (neg.f64 y)) (fma.f64 -1 (log.f64 (/.f64 -1 z)) (/.f64 1 (*.f64 y z)))) |
(+.f64 (/.f64 1 (*.f64 y z)) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z)))) |
(+.f64 (/.f64 (/.f64 1 z) y) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z)))) |
(-.f64 (+.f64 (log.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (/.f64 1 (*.f64 y z)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))) |
(+.f64 (log.f64 (neg.f64 y)) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 z)) (/.f64 1 (*.f64 y z))) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 z z))))) |
(+.f64 (log.f64 (neg.f64 y)) (+.f64 (-.f64 (/.f64 1 (*.f64 y z)) (log.f64 (/.f64 -1 z))) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z)))))) |
(+.f64 (/.f64 (/.f64 1 z) y) (+.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z))) (/.f64 (/.f64 -1/2 y) (*.f64 y (*.f64 z z))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (log.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (/.f64 1 (*.f64 y z))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (log.f64 (neg.f64 y)) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 z)) (/.f64 1 (*.f64 y z))) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 z z)))))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (log.f64 (neg.f64 y)) (+.f64 (-.f64 (/.f64 1 (*.f64 y z)) (log.f64 (/.f64 -1 z))) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))))))) |
(+.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 -1 z))) (+.f64 (+.f64 (/.f64 (/.f64 1 z) y) (/.f64 (/.f64 -1/2 y) (*.f64 y (*.f64 z z)))) (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))))) |
(*.f64 y z) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (*.f64 y z)) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 z z)) (*.f64 y z)) |
(fma.f64 y z (*.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 y z)) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (*.f64 y z))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 y z))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z (*.f64 (pow.f64 y 3) (*.f64 1/3 (pow.f64 z 3))))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (*.f64 y z) (*.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4)))))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 y z (*.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4)))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 y z (*.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4)))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 -1/4 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) (*.f64 y z)))) |
(+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 y)) |
(+.f64 (log.f64 y) (log.f64 z)) |
(+.f64 (log.f64 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 1 (*.f64 y z)))) |
(fma.f64 -1 (neg.f64 (log.f64 z)) (+.f64 (log.f64 y) (/.f64 1 (*.f64 y z)))) |
(+.f64 (/.f64 1 (*.f64 y z)) (+.f64 (log.f64 y) (log.f64 z))) |
(+.f64 (log.f64 y) (+.f64 (/.f64 (/.f64 1 z) y) (log.f64 z))) |
(-.f64 (+.f64 (log.f64 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 1 (*.f64 y z)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (+.f64 (log.f64 y) (/.f64 1 (*.f64 y z)))) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 z z)))) |
(+.f64 (+.f64 (log.f64 y) (/.f64 1 (*.f64 y z))) (+.f64 (log.f64 z) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z)))))) |
(+.f64 (log.f64 y) (+.f64 (-.f64 (/.f64 (/.f64 1 z) y) (/.f64 (/.f64 1/2 y) (*.f64 y (*.f64 z z)))) (log.f64 z))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (log.f64 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 1 (*.f64 y z))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (+.f64 (+.f64 (log.f64 y) (/.f64 1 (*.f64 y z))) (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))))) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 z z)))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (+.f64 (log.f64 y) (/.f64 1 (*.f64 y z))) (+.f64 (log.f64 z) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z z))))))) |
(+.f64 (log.f64 y) (+.f64 (+.f64 (/.f64 (/.f64 1 z) y) (/.f64 1/3 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))) (+.f64 (log.f64 z) (/.f64 (/.f64 -1/2 y) (*.f64 y (*.f64 z z)))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 z))) |
(-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 -1 y))) |
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(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 z t))) (+.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (log.f64 (neg.f64 z)) t)) (/.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 z 3) t))))) (/.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) t)))) |
(+.f64 (+.f64 (+.f64 (/.f64 (log.f64 (neg.f64 z)) t) (-.f64 (/.f64 (/.f64 (/.f64 1 y) t) z) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 1/3 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 z 3) t)))) (/.f64 -1/2 (*.f64 y (*.f64 y (*.f64 z (*.f64 z t)))))) |
(+.f64 (/.f64 1 (*.f64 z (*.f64 y t))) (-.f64 (+.f64 (/.f64 1/3 (*.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) t))) (/.f64 (log.f64 (neg.f64 z)) t)) (-.f64 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (/.f64 (/.f64 -1/2 y) (*.f64 y (*.f64 z z))) t)))) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 z y)))) 1) |
(log1p.f64 (*.f64 y z)) |
(*.f64 (log1p.f64 (*.f64 z y)) 1) |
(log1p.f64 (*.f64 y z)) |
(*.f64 1 (log1p.f64 (*.f64 z y))) |
(log1p.f64 (*.f64 y z)) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (sqrt.f64 (log1p.f64 (*.f64 z y)))) |
(log1p.f64 (*.f64 y z)) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2)) |
(log1p.f64 (*.f64 y z)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) (cbrt.f64 (log1p.f64 (*.f64 z y)))) |
(log1p.f64 (*.f64 y z)) |
(pow.f64 (log1p.f64 (*.f64 z y)) 1) |
(log1p.f64 (*.f64 y z)) |
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) 2) |
(log1p.f64 (*.f64 y z)) |
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 3) |
(log1p.f64 (*.f64 y z)) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 z y)) 3) 1/3) |
(log1p.f64 (*.f64 y z)) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 z y)) 2)) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2)) |
(fabs.f64 (log1p.f64 (*.f64 y z))) |
(log.f64 (+.f64 (*.f64 z y) 1)) |
(log1p.f64 (*.f64 y z)) |
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 z y)) 3)) |
(log1p.f64 (*.f64 y z)) |
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 z y)))) |
(log1p.f64 (*.f64 y z)) |
(exp.f64 (log.f64 (log1p.f64 (*.f64 z y)))) |
(log1p.f64 (*.f64 y z)) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 z y))) 1)) |
(log1p.f64 (*.f64 y z)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) 1) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(*.f64 (log1p.f64 (*.f64 z y)) (/.f64 1 t)) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(*.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 1) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(*.f64 1 (/.f64 (log1p.f64 (*.f64 z y)) t)) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (/.f64 1 t))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 2)) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) (/.f64 1 t))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z y))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(*.f64 (neg.f64 (log1p.f64 (*.f64 z y))) (/.f64 1 (neg.f64 t))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 z y)) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t)) (sqrt.f64 t)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 z y)) (cbrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y z)) (cbrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) t)) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (cbrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y z)) (cbrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) t)) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y z)) (sqrt.f64 t)) (sqrt.f64 t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 2) (pow.f64 (cbrt.f64 t) 2))) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 1) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 2) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 3) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 3) 1/3) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 z y)) (neg.f64 t))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) 2)) |
(fabs.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 3)) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 1)) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (exp.f64 z) t) |
| ✓ | 0.0b | (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x) |
| ✓ | 2.8b | (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) |
Compiled 37 to 16 computations (56.8% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | 0 | (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) |
| 1.0ms | z | @ | inf | (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) |
| 0.0ms | t | @ | -inf | (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) |
| 0.0ms | y | @ | 0 | (fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x) |
| 0.0ms | z | @ | -inf | (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) |
| 1× | batch-egg-rewrite |
| 1496× | associate-/r* |
| 958× | associate-/l* |
| 742× | distribute-lft-in |
| 498× | associate-/r/ |
| 302× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 53 |
| 1 | 291 | 53 |
| 2 | 3887 | 53 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) |
(fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x) |
(/.f64 (exp.f64 z) t) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 t) (/.f64 (neg.f64 (exp.f64 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 t) (+.f64 (/.f64 (neg.f64 (exp.f64 z)) t) (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 t) (+.f64 (/.f64 (neg.f64 (exp.f64 z)) t) (fma.f64 (neg.f64 (/.f64 1 t)) (exp.f64 z) (/.f64 (exp.f64 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 t) (+.f64 (/.f64 (neg.f64 (exp.f64 z)) t) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (exp.f64 z) t))) (sqrt.f64 (/.f64 (exp.f64 z) t)) (/.f64 (exp.f64 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 t) (+.f64 (/.f64 (neg.f64 (exp.f64 z)) t) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (exp.f64 z) t))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 z) t)) 2) (/.f64 (exp.f64 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 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| 1× | egg-herbie |
| 838× | associate-*r* |
| 672× | associate-*l* |
| 646× | associate-/l* |
| 632× | associate-/r* |
| 630× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 679 | 12501 |
| 1 | 1955 | 11833 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t) |
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t) |
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t) |
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t) |
(*.f64 -1 (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (*.f64 -1 (/.f64 z t))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (*.f64 -1 (/.f64 z t)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 z 4) t)) (*.f64 -1 (/.f64 z t))))) |
x |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
x |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
x |
(+.f64 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t) x) |
(+.f64 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t) x) |
(+.f64 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) x))) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
x |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
x |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(/.f64 1 t) |
(+.f64 (/.f64 z t) (/.f64 1 t)) |
(+.f64 (/.f64 z t) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 1 t))) |
(+.f64 (/.f64 z t) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 1 t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t))))) |
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(pow.f64 (cbrt.f64 (/.f64 (exp.f64 z) t)) 3) |
(pow.f64 (/.f64 t (exp.f64 z)) -1) |
(pow.f64 (pow.f64 (/.f64 (exp.f64 z) t) 3) 1/3) |
(neg.f64 (/.f64 (exp.f64 z) (neg.f64 t))) |
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 z) t) 2)) |
(log.f64 (exp.f64 (/.f64 (exp.f64 z) t))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 z) t)))) |
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 z) t) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 z) t))) |
(exp.f64 (-.f64 z (log.f64 t))) |
(exp.f64 (*.f64 (-.f64 z (log.f64 t)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 z) t))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(/.f64 (+.f64 1 (*.f64 -1 (exp.f64 z))) t) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(*.f64 -1 (/.f64 z t)) |
(neg.f64 (/.f64 z t)) |
(/.f64 (neg.f64 z) t) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (*.f64 -1 (/.f64 z t))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (neg.f64 (/.f64 z t))) |
(fma.f64 -1/2 (/.f64 z (/.f64 t z)) (/.f64 (neg.f64 z) t)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (*.f64 -1 (/.f64 z t)))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (neg.f64 (/.f64 z t)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 t z)) (-.f64 (/.f64 -1/6 (/.f64 t (pow.f64 z 3))) (/.f64 z t))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 z 4) t)) (*.f64 -1 (/.f64 z t))))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (fma.f64 -1/24 (/.f64 (pow.f64 z 4) t) (neg.f64 (/.f64 z t))))) |
(fma.f64 -1/2 (/.f64 z (/.f64 t z)) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (fma.f64 -1/24 (/.f64 (pow.f64 z 4) t) (/.f64 (neg.f64 z) t)))) |
x |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
x |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
x |
(+.f64 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (/.f64 (*.f64 y (+.f64 1 (*.f64 -1 (exp.f64 z)))) t) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 -1 (/.f64 y (/.f64 t z)) x) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x)) |
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) x)) |
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) x) (/.f64 z (/.f64 t y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) x))) |
(fma.f64 -1 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (fma.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) x))) |
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (fma.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) x)) (/.f64 z (/.f64 t y))) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
x |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
x |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(/.f64 1 t) |
(+.f64 (/.f64 z t) (/.f64 1 t)) |
(+.f64 (/.f64 z t) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 1 t))) |
(+.f64 (/.f64 z t) (fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 1 t))) |
(+.f64 (/.f64 z t) (fma.f64 1/2 (/.f64 z (/.f64 t z)) (/.f64 1 t))) |
(+.f64 (/.f64 z t) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 1 t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t))))) |
(+.f64 (/.f64 z t) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 1 t)) (*.f64 (/.f64 (pow.f64 z 3) t) 1/6))) |
(+.f64 (/.f64 z t) (+.f64 (fma.f64 1/2 (/.f64 z (/.f64 t z)) (/.f64 1 t)) (*.f64 (/.f64 (pow.f64 z 3) t) 1/6))) |
(+.f64 (/.f64 1 t) (/.f64 (neg.f64 (exp.f64 z)) t)) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(+.f64 (/.f64 1 t) (+.f64 (/.f64 (neg.f64 (exp.f64 z)) t) (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t)))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t))) |
(-.f64 (+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (/.f64 (exp.f64 z) t)) (/.f64 (exp.f64 z) t)) |
(+.f64 (/.f64 1 t) (+.f64 (/.f64 (neg.f64 (exp.f64 z)) t) (fma.f64 (neg.f64 (/.f64 1 t)) (exp.f64 z) (/.f64 (exp.f64 z) t)))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t))) |
(-.f64 (+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (/.f64 (exp.f64 z) t)) (/.f64 (exp.f64 z) t)) |
(+.f64 (/.f64 1 t) (+.f64 (/.f64 (neg.f64 (exp.f64 z)) t) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (exp.f64 z) t))) (sqrt.f64 (/.f64 (exp.f64 z) t)) (/.f64 (exp.f64 z) t)))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t))) |
(-.f64 (+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (/.f64 (exp.f64 z) t)) (/.f64 (exp.f64 z) t)) |
(+.f64 (/.f64 1 t) (+.f64 (/.f64 (neg.f64 (exp.f64 z)) t) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (exp.f64 z) t))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 z) t)) 2) (/.f64 (exp.f64 z) t)))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t))) |
(-.f64 (+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (/.f64 (exp.f64 z) t)) (/.f64 (exp.f64 z) t)) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t))) |
(-.f64 (+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (/.f64 (exp.f64 z) t)) (/.f64 (exp.f64 z) t)) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (fma.f64 (neg.f64 (/.f64 1 t)) (exp.f64 z) (/.f64 (exp.f64 z) t))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t))) |
(-.f64 (+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (/.f64 (exp.f64 z) t)) (/.f64 (exp.f64 z) t)) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (exp.f64 z) t))) (sqrt.f64 (/.f64 (exp.f64 z) t)) (/.f64 (exp.f64 z) t))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t))) |
(-.f64 (+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (/.f64 (exp.f64 z) t)) (/.f64 (exp.f64 z) t)) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (exp.f64 z) t))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 z) t)) 2) (/.f64 (exp.f64 z) t))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t))) |
(-.f64 (+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (/.f64 (exp.f64 z) t)) (/.f64 (exp.f64 z) t)) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (+.f64 (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t)) (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t)))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (*.f64 2 (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t)))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (*.f64 2 (*.f64 (exp.f64 z) (+.f64 (/.f64 -1 t) (/.f64 1 t))))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (+.f64 (fma.f64 (neg.f64 (/.f64 1 t)) (exp.f64 z) (/.f64 (exp.f64 z) t)) (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t)))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (*.f64 2 (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t)))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (*.f64 2 (*.f64 (exp.f64 z) (+.f64 (/.f64 -1 t) (/.f64 1 t))))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (exp.f64 z) t))) (sqrt.f64 (/.f64 (exp.f64 z) t)) (/.f64 (exp.f64 z) t)) (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t)))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (*.f64 2 (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t)))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (*.f64 2 (*.f64 (exp.f64 z) (+.f64 (/.f64 -1 t) (/.f64 1 t))))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (exp.f64 z) t))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 z) t)) 2) (/.f64 (exp.f64 z) t)) (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t)))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (*.f64 2 (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t)))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (*.f64 2 (*.f64 (exp.f64 z) (+.f64 (/.f64 -1 t) (/.f64 1 t))))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (+.f64 (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t)) (fma.f64 (neg.f64 (/.f64 1 t)) (exp.f64 z) (/.f64 (exp.f64 z) t)))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (*.f64 2 (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t)))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (*.f64 2 (*.f64 (exp.f64 z) (+.f64 (/.f64 -1 t) (/.f64 1 t))))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (+.f64 (fma.f64 (neg.f64 (/.f64 1 t)) (exp.f64 z) (/.f64 (exp.f64 z) t)) (fma.f64 (neg.f64 (/.f64 1 t)) (exp.f64 z) (/.f64 (exp.f64 z) t)))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (*.f64 2 (fma.f64 (/.f64 (neg.f64 (exp.f64 z)) t) 1 (/.f64 (exp.f64 z) t)))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (*.f64 2 (*.f64 (exp.f64 z) (+.f64 (/.f64 -1 t) (/.f64 1 t))))) |
(+.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (exp.f64 z) t))) (sqrt.f64 (/.f64 (exp.f64 z) t)) (/.f64 (exp.f64 z) t)) (fma.f64 (neg.f64 (/.f64 1 t)) (exp.f64 z) (/.f64 (exp.f64 z) t)))) |
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(*.f64 (sqrt.f64 (exp.f64 z)) (/.f64 (sqrt.f64 (exp.f64 z)) t)) |
(*.f64 (/.f64 (sqrt.f64 (exp.f64 z)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (exp.f64 z)) (cbrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 z)) t)) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (*.f64 (/.f64 1 t) (cbrt.f64 (exp.f64 z)))) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (/.f64 (cbrt.f64 (exp.f64 z)) t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (exp.f64 z)) (sqrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (exp.f64 z) t))) |
(*.f64 (cbrt.f64 (/.f64 (exp.f64 z) t)) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 (/.f64 (exp.f64 z) 1) 1) (/.f64 1 t)) |
(/.f64 (exp.f64 z) t) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) t) (cbrt.f64 (exp.f64 z))) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (*.f64 (/.f64 1 t) (cbrt.f64 (exp.f64 z)))) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (/.f64 (cbrt.f64 (exp.f64 z)) t)) |
(*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (exp.f64 z)) 2))) (cbrt.f64 (exp.f64 z))) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (*.f64 (/.f64 1 t) (cbrt.f64 (exp.f64 z)))) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (/.f64 (cbrt.f64 (exp.f64 z)) t)) |
(pow.f64 (/.f64 (exp.f64 z) t) 1) |
(/.f64 (exp.f64 z) t) |
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 z) t)) 2) |
(/.f64 (exp.f64 z) t) |
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 z) t)) 3) |
(/.f64 (exp.f64 z) t) |
(pow.f64 (/.f64 t (exp.f64 z)) -1) |
(/.f64 (exp.f64 z) t) |
(pow.f64 (pow.f64 (/.f64 (exp.f64 z) t) 3) 1/3) |
(/.f64 (exp.f64 z) t) |
(neg.f64 (/.f64 (exp.f64 z) (neg.f64 t))) |
(/.f64 (exp.f64 z) t) |
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 z) t) 2)) |
(log.f64 (exp.f64 (/.f64 (exp.f64 z) t))) |
(/.f64 (exp.f64 z) t) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 z) t)))) |
(/.f64 (exp.f64 z) t) |
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 z) t) 3)) |
(/.f64 (exp.f64 z) t) |
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 z) t))) |
(/.f64 (exp.f64 z) t) |
(exp.f64 (-.f64 z (log.f64 t))) |
(exp.f64 (*.f64 (-.f64 z (log.f64 t)) 1)) |
(exp.f64 (-.f64 z (log.f64 t))) |
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 z) t))) |
(/.f64 (exp.f64 z) t) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 y (expm1.f64 z)) | |
| ✓ | 0.6b | (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) |
| ✓ | 3.3b | (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) t) |
| ✓ | 11.1b | (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
Compiled 56 to 18 computations (67.9% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) |
| 8.0ms | z | @ | 0 | (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) |
| 5.0ms | y | @ | -inf | (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) |
| 4.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) |
| 4.0ms | y | @ | inf | (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 1× | batch-egg-rewrite |
| 1014× | *-commutative |
| 890× | associate-/r* |
| 830× | unswap-sqr |
| 774× | associate-/l* |
| 664× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 55 |
| 1 | 264 | 55 |
| 2 | 3012 | 55 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) t) |
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 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| 1× | egg-herbie |
| 1190× | associate-*r* |
| 992× | associate-*l* |
| 704× | *-commutative |
| 662× | fma-def |
| 414× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 570 | 16168 |
| 1 | 1692 | 14118 |
| 2 | 7235 | 14118 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1/3) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1/3)) |
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) 3) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3/2))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/3) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/3) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/4))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/4)) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/4))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3/2))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/4) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/4) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3/2))) |
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/3)) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/3))) |
(neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) |
(log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
| Outputs |
|---|
(pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1/3) |
(cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) |
(cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1/3)) |
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) 1/18)) (/.f64 1 (*.f64 (expm1.f64 z) y))) (cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))) |
(fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18)) (*.f64 (expm1.f64 z) y)) (cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1/9)))) (pow.f64 y 2)))) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1/3))) |
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) 1/18)) (/.f64 1 (*.f64 (expm1.f64 z) y))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (expm1.f64 z) 2)) (*.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (expm1.f64 z) 2))) (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) 1/18) (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) 1/18)))) (*.f64 y y))) (cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))))) |
(fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18)) (*.f64 (expm1.f64 z) y)) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18) (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18)) (pow.f64 (expm1.f64 z) 2)) (/.f64 1/2 (pow.f64 (expm1.f64 z) 2))) (*.f64 y y))) (cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3) (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 3))) (+.f64 (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3))) (*.f64 -2/3 (*.f64 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1/9)))) (-.f64 (exp.f64 z) 1)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 5)) 1/9))))) (pow.f64 y 3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1/9)))) (pow.f64 y 2)))) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 1/3)))) |
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) 1/18)) (/.f64 1 (*.f64 (expm1.f64 z) y))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))) (/.f64 (-.f64 (/.f64 1/3 (pow.f64 (expm1.f64 z) 3)) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))) (/.f64 1 (pow.f64 (expm1.f64 z) 3))) (*.f64 -2/3 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (expm1.f64 z) 2)) (*.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (expm1.f64 z) 2))) (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) 1/18) (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) 1/18)))) (expm1.f64 z)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 5)) 1/18)))))) (pow.f64 y 3))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (expm1.f64 z) 2)) (*.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (expm1.f64 z) 2))) (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) 1/18) (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) 1/18)))) (*.f64 y y))) (cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))))) |
(fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18)) (*.f64 (expm1.f64 z) y)) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (-.f64 (/.f64 1/3 (pow.f64 (expm1.f64 z) 3)) (fma.f64 -2/3 (*.f64 (/.f64 (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18) (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18)) (pow.f64 (expm1.f64 z) 2)) (/.f64 1/2 (pow.f64 (expm1.f64 z) 2))) (expm1.f64 z)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 1/27 (pow.f64 (expm1.f64 z) 3))))) (pow.f64 y 3))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18) (pow.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18)) (pow.f64 (expm1.f64 z) 2)) (/.f64 1/2 (pow.f64 (expm1.f64 z) 2))) (*.f64 y y))) (cbrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))))) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 1/3) |
(cbrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z))))) |
(cbrt.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 1/3)) |
(fma.f64 1/3 (*.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2)) 1/18))) (cbrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))))) |
(fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2)) 1/18)) (*.f64 (expm1.f64 z) y)) (cbrt.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2)) 1/3) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) 1/9)))) (pow.f64 y 2)))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 1/3))) |
(fma.f64 1/3 (*.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2)) 1/18))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) 2))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (expm1.f64 z) 2)) (*.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (expm1.f64 z) 2))) (*.f64 (pow.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z))))) 1/18) (pow.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z))))) 1/18)))) (*.f64 y y))) (cbrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z))))))) |
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(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (neg.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (neg.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 -1 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) 3) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3/2))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/3) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/3) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/4) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/2)) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1/6) 3) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1/6) 3)) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/4))) |
(*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/4) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/2)) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/4)) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/4))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1/6) 3) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/4) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/4))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1/6) 3) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/2)) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3/2))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1/6) 3) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1/6) 3)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/4) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/4) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/6) 3/2))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1/6) 3) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/4) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/4))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1/6) 3) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/2)) |
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/3)) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/3))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) |
(fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
Compiled 47242 to 23028 computations (51.3% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1446 | 9 | 1455 |
| Fresh | 5 | 8 | 13 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1453 | 21 | 1474 |
| Status | Error | Program |
|---|---|---|
| ▶ | 17.3b | (fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
| 33.0b | (pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) | |
| 1.8b | (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3) | |
| 59.3b | (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) | |
| 45.0b | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) | |
| 13.5b | (-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1)) | |
| ▶ | 20.1b | (-.f64 x (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t)) |
| ✓ | 0.8b | (-.f64 x (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) t)) |
| ✓ | 13.4b | (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) |
| ✓ | 0.5b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| 0.6b | (-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) | |
| 20.6b | (-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) | |
| 18.5b | (-.f64 x (/.f64 y (/.f64 t z))) | |
| 18.6b | (-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) | |
| ▶ | 0.5b | (-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
| 26.2b | (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z)))))) | |
| ▶ | 10.9b | (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) |
| ✓ | 20.3b | (-.f64 x (*.f64 (/.f64 y t) z)) |
| 13.5b | (-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z y)))) | |
| ▶ | 18.5b | (-.f64 x (*.f64 y (/.f64 z t))) |
| 18.9b | x |
Compiled 513 to 362 computations (29.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| 0.0b | (*.f64 y (expm1.f64 z)) | |
| ✓ | 0.8b | (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
| 3.3b | (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
Compiled 47 to 14 computations (70.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
| 0.0ms | y | @ | inf | (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
| 0.0ms | z | @ | 0 | (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
| 0.0ms | y | @ | 0 | (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
| 0.0ms | t | @ | 0 | (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
| 1× | batch-egg-rewrite |
| 1058× | *-commutative |
| 1016× | associate-/r* |
| 948× | associate-*r/ |
| 670× | associate-*l/ |
| 648× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 27 |
| 1 | 238 | 21 |
| 2 | 2897 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y 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(2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (log.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) |
| 1× | egg-herbie |
| 1424× | associate-*r/ |
| 1026× | associate-/l* |
| 940× | associate-/r* |
| 896× | associate-*l/ |
| 680× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 3580 |
| 1 | 650 | 3470 |
| 2 | 2312 | 3454 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) |
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(/.f64 (*.f64 y z) t) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (*.f64 y z) t))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t))))) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1) |
(*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t)) |
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1) |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t)) |
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (/.f64 1 t) (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) |
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 -1 t)) |
(*.f64 -1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) -1) |
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (/.f64 1 (sqrt.f64 t))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) |
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (/.f64 1 (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 -1 t) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t))) |
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (sqrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(*.f64 (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) (/.f64 1 t)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1) (pow.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) -1)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) 1) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 t)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (/.f64 (/.f64 1 t) -1) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (/.f64 (/.f64 1 t) (/.f64 1 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (/.f64 (/.f64 1 t) (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (neg.f64 t))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(exp.f64 (-.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (log.f64 t))) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
| Outputs |
|---|
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))) |
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (*.f64 y (/.f64 (expm1.f64 z) t))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))) |
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))) |
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (*.f64 y (/.f64 (expm1.f64 z) t)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))))))) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 (expm1.f64 z) t) y)))) |
(fma.f64 -1/4 (*.f64 (pow.f64 y 4) (/.f64 (pow.f64 (expm1.f64 z) 4) t)) (fma.f64 1/3 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 (expm1.f64 z) 3) t)) (fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (*.f64 y (/.f64 (expm1.f64 z) t))))) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t) |
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) |
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))) |
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))) |
(+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (-.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 (/.f64 1/2 y) (*.f64 y t)) (pow.f64 (expm1.f64 z) 2))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (+.f64 (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (/.f64 (/.f64 -1/2 t) (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t) |
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) |
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (+.f64 (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))) |
(+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (+.f64 (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (/.f64 -1/2 t) (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) 2)) (/.f64 1 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))) 2)) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) 1) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 t)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 t))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (/.f64 (cbrt.f64 t) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(/.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (/.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(*.f64 (/.f64 (/.f64 1 t) -1) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(*.f64 (/.f64 (/.f64 1 t) (/.f64 1 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(*.f64 (/.f64 (/.f64 1 t) (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (neg.f64 t))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 (neg.f64 t))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (/.f64 (cbrt.f64 (neg.f64 t)) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) |
(fabs.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(exp.f64 (-.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (log.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.6b | (*.f64 y (/.f64 z t)) |
Compiled 23 to 7 computations (69.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | y | @ | -inf | (*.f64 y (/.f64 z t)) |
| 0.0ms | y | @ | 0 | (*.f64 y (/.f64 z t)) |
| 0.0ms | z | @ | -inf | (*.f64 y (/.f64 z t)) |
| 0.0ms | z | @ | inf | (*.f64 y (/.f64 z t)) |
| 0.0ms | t | @ | -inf | (*.f64 y (/.f64 z t)) |
| 1× | batch-egg-rewrite |
| 1568× | add-sqr-sqrt |
| 1556× | *-un-lft-identity |
| 1444× | add-cube-cbrt |
| 1420× | add-cbrt-cube |
| 1406× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 145 | 13 |
| 2 | 1912 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (/.f64 z t)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 z t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) y) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (cbrt.f64 (*.f64 t t))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z t)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t)))))))) |
| 1× | egg-herbie |
| 1504× | distribute-rgt-in |
| 1490× | distribute-lft-in |
| 1280× | associate-/r/ |
| 916× | associate-*r* |
| 804× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 761 |
| 1 | 139 | 761 |
| 2 | 537 | 761 |
| 3 | 3331 | 761 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(-.f64 (+.f64 1 (*.f64 y (/.f64 z t))) 1) |
(/.f64 y (/.f64 t z)) |
(/.f64 1 (/.f64 t (*.f64 y z))) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y (neg.f64 z)) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 t)) |
(/.f64 (/.f64 (*.f64 y z) 1) t) |
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t)) |
(/.f64 (/.f64 (*.f64 y z) (cbrt.f64 (*.f64 t t))) (cbrt.f64 t)) |
(/.f64 (neg.f64 (*.f64 y z)) (neg.f64 t)) |
(pow.f64 (*.f64 y (/.f64 z t)) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 z t)) y)) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) |
(exp.f64 (log.f64 (*.f64 y (/.f64 z t)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z t))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t)))) |
| Outputs |
|---|
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(-.f64 (+.f64 1 (*.f64 y (/.f64 z t))) 1) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(*.f64 y (/.f64 z t)) |
(/.f64 1 (/.f64 t (*.f64 y z))) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y (neg.f64 z)) (neg.f64 t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (/.f64 (*.f64 y z) 1) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) (sqrt.f64 t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (/.f64 (*.f64 y z) (cbrt.f64 (*.f64 t t))) (cbrt.f64 t)) |
(*.f64 (/.f64 y (cbrt.f64 t)) (/.f64 z (cbrt.f64 (*.f64 t t)))) |
(*.f64 (/.f64 y (cbrt.f64 (*.f64 t t))) (/.f64 z (cbrt.f64 t))) |
(/.f64 (neg.f64 (*.f64 y z)) (neg.f64 t)) |
(*.f64 y (/.f64 z t)) |
(pow.f64 (*.f64 y (/.f64 z t)) 1) |
(*.f64 y (/.f64 z t)) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2) |
(*.f64 y (/.f64 z t)) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3) |
(*.f64 y (/.f64 z t)) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3) |
(*.f64 y (/.f64 z t)) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2)) |
(*.f64 y (/.f64 z t)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 z t)) y)) |
(*.f64 y (/.f64 z t)) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3)) |
(*.f64 y (/.f64 z t)) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) |
(*.f64 y (/.f64 z t)) |
(exp.f64 (log.f64 (*.f64 y (/.f64 z t)))) |
(*.f64 y (/.f64 z t)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z t))) 1)) |
(*.f64 y (/.f64 z t)) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t)))) |
(*.f64 y (/.f64 z t)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) |
| ✓ | 0.0b | (/.f64 (expm1.f64 z) t) |
| ✓ | 3.7b | (*.f64 (/.f64 (expm1.f64 z) t) y) |
Compiled 28 to 8 computations (71.4% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | inf | (*.f64 (/.f64 (expm1.f64 z) t) y) |
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 (expm1.f64 z) t) y) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 (expm1.f64 z) t) y) |
| 0.0ms | z | @ | -inf | (*.f64 (/.f64 (expm1.f64 z) t) y) |
| 0.0ms | z | @ | inf | (/.f64 (expm1.f64 z) t) |
| 1× | batch-egg-rewrite |
| 1788× | associate-*r/ |
| 1304× | associate-*l/ |
| 1044× | associate-/r* |
| 780× | associate-/l* |
| 250× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 51 |
| 1 | 234 | 51 |
| 2 | 3218 | 51 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(/.f64 (expm1.f64 z) t) |
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) |
| Outputs |
|---|
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2) (cbrt.f64 x) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))))))) |
| 1× | egg-herbie |
| 1550× | associate-/l* |
| 782× | associate-*r* |
| 712× | associate-*l* |
| 626× | associate-/l/ |
| 578× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 748 | 16270 |
| 1 | 1911 | 15048 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y z) t) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))) |
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 z t) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (/.f64 z t) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 z 4) t)) (*.f64 1/6 (/.f64 (pow.f64 z 3) t))))) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) x))) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
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(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) (/.f64 1 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(/.f64 1 (/.f64 1 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)) |
(/.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x) (/.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (/.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (/.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (/.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))) (/.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 3)) (-.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))) (*.f64 x (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (neg.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) 1) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)) |
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))))) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 3))) (-.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))) (*.f64 x (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))) (neg.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))) 1) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) 3)) 1) (-.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)))) (*.f64 x (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) 1) (neg.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2)) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (/.f64 1 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (+.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2) 3)) (/.f64 1 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2))) (*.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) 1) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 1) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 3) |
(pow.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) |
(log.f64 (exp.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))) |
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(exp.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(fma.f64 1 x (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))) |
| Outputs |
|---|
(/.f64 (*.f64 y z) t) |
(/.f64 y (/.f64 t z)) |
(*.f64 (/.f64 y t) z) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))) |
(+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))) |
(+.f64 (*.f64 (/.f64 y t) z) (*.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))) |
(fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))) |
(fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (+.f64 (*.f64 (/.f64 y t) z) (*.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z))))) |
(+.f64 (*.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t))))) |
(fma.f64 1/24 (/.f64 y (/.f64 t (pow.f64 z 4))) (fma.f64 1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))))) |
(fma.f64 1/24 (*.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (+.f64 (*.f64 (/.f64 y t) z) (*.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
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(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) (sqrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) (*.f64 (sqrt.f64 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (sqrt.f64 (fma.f64 (expm1.f64 z) (/.f64 y t) x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) 2)) (*.f64 (sqrt.f64 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (sqrt.f64 (fma.f64 (expm1.f64 z) (/.f64 y t) x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) (cbrt.f64 (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) (*.f64 (cbrt.f64 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (*.f64 (cbrt.f64 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (cbrt.f64 (fma.f64 (expm1.f64 z) (/.f64 y t) x))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) 2)) (cbrt.f64 (fma.f64 (expm1.f64 z) (/.f64 y t) x))) (*.f64 (cbrt.f64 (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (cbrt.f64 (fma.f64 (expm1.f64 z) (/.f64 y t) x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) 3)) (fma.f64 x x (*.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) 3)) (*.f64 (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x)))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (+.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x)))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x))))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x)))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (/.f64 (expm1.f64 z) t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x))))))) |
(pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 1) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) |
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 2) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) |
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 3) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) |
(pow.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3) 1/3) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) |
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) |
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) 2)) |
(log.f64 (exp.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))))) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) |
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) 3)) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) |
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) |
(exp.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))) 1)) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) |
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) |
(fma.f64 1 x (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))) |
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t))) |
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))) |
(-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 y (/.f64 (expm1.f64 z) t))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y))) |
(-.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 y (/.f64 (expm1.f64 z) t))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 1 (exp.f64 z)) t) |
| ✓ | 0.0b | (fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
| ✓ | 2.8b | (-.f64 1 (exp.f64 z)) |
Compiled 30 to 15 computations (50% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
| 1.0ms | z | @ | inf | (fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
| 1.0ms | z | @ | -inf | (fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
| 0.0ms | t | @ | -inf | (fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
| 0.0ms | y | @ | 0 | (fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
| 1× | batch-egg-rewrite |
| 1402× | associate-*r/ |
| 1324× | associate-*l/ |
| 1038× | associate-/r* |
| 852× | associate-/l* |
| 294× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 53 |
| 1 | 263 | 53 |
| 2 | 3341 | 53 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (exp.f64 z)) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (exp.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (exp.f64 z)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (exp.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) (sqrt.f64 (-.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) 2) (cbrt.f64 (-.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 (+.f64 z z))) (/.f64 1 (+.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 z))) (-.f64 1 (exp.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))))) (-.f64 1 (pow.f64 (exp.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 z z))) (-.f64 1 (exp.f64 (+.f64 z z)))) (-.f64 1 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 z z))) (+.f64 1 (pow.f64 (exp.f64 z) 3))) (-.f64 (+.f64 1 (exp.f64 (+.f64 z z))) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (-.f64 1 (*.f64 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))) (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))))) (-.f64 1 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (+.f64 1 (pow.f64 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))) (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))) (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) (/.f64 1 (sqrt.f64 (-.f64 1 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 (+.f64 z z))) (+.f64 1 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 (+.f64 z z))) (/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (+.f64 1 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3))) (/.f64 (+.f64 1 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 z z)))) (/.f64 (+.f64 1 (exp.f64 z)) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)))) (/.f64 (+.f64 1 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 z z)))) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 z z))))) (/.f64 (+.f64 1 (exp.f64 z)) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 z z)))) (neg.f64 (+.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (exp.f64 z)) (neg.f64 (exp.f64 z)))) (+.f64 1 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (exp.f64 z)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (exp.f64 z)) (neg.f64 (exp.f64 z))) (neg.f64 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (exp.f64 (+.f64 z z))) 1) (+.f64 1 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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| 1× | egg-herbie |
| 724× | associate-+l+ |
| 720× | associate-+r+ |
| 602× | associate-*r* |
| 560× | +-commutative |
| 550× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 404 | 6842 |
| 1 | 1069 | 6708 |
| 2 | 5111 | 6634 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (pow.f64 z 2))) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))) |
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(+.f64 (neg.f64 (/.f64 (exp.f64 z) t)) (/.f64 1 t)) |
(-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (exp.f64 z)) t))) 1) |
(*.f64 1 (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 1 t)) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) 1) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)) (sqrt.f64 (/.f64 (-.f64 1 (exp.f64 z)) t))) |
(*.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) (*.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) (/.f64 1 t))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)) 2) (cbrt.f64 (/.f64 (-.f64 1 (exp.f64 z)) t))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) 2) (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) (/.f64 1 t))) |
(*.f64 (/.f64 1 t) (-.f64 1 (exp.f64 z))) |
(*.f64 (+.f64 -1 (exp.f64 z)) (/.f64 -1 t)) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (-.f64 1 (exp.f64 z)) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (-.f64 1 (exp.f64 z)) (cbrt.f64 t))) |
(*.f64 (/.f64 -1 t) (+.f64 -1 (exp.f64 z))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) 1) (/.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) t)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) t) (sqrt.f64 (-.f64 1 (exp.f64 z)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) (cbrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) (sqrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (-.f64 1 (exp.f64 z)) t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) 2) t) (cbrt.f64 (-.f64 1 (exp.f64 z)))) |
(*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) 2))) (cbrt.f64 (-.f64 1 (exp.f64 z)))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 (+.f64 z z))) (/.f64 1 t)) (-.f64 1 (exp.f64 (+.f64 z z)))) (-.f64 1 (exp.f64 z))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 (+.f64 z z))) (/.f64 1 t)) (+.f64 1 (pow.f64 (exp.f64 z) 3))) (-.f64 (+.f64 1 (exp.f64 (+.f64 z z))) (exp.f64 z))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 t)) (-.f64 1 (*.f64 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))) (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))))) (-.f64 1 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 t)) (+.f64 1 (pow.f64 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))) (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))) (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))))) |
(pow.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) 3) 1/3) |
(pow.f64 (/.f64 t (-.f64 1 (exp.f64 z))) -1) |
(neg.f64 (/.f64 (-.f64 1 (exp.f64 z)) (neg.f64 t))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (exp.f64 z)) t))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (exp.f64 z)) t))) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (exp.f64 z)) t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (exp.f64 z)) t))) |
| Outputs |
|---|
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (pow.f64 z 2))) |
(fma.f64 -1 z (*.f64 -1/2 (*.f64 z z))) |
(-.f64 (*.f64 z (*.f64 z -1/2)) z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/6 (pow.f64 z 3)))) |
(fma.f64 -1 z (fma.f64 -1/2 (*.f64 z z) (*.f64 -1/6 (pow.f64 z 3)))) |
(-.f64 (fma.f64 -1/6 (pow.f64 z 3) (*.f64 z (*.f64 z -1/2))) z) |
(-.f64 (*.f64 (*.f64 z z) (+.f64 -1/2 (*.f64 z -1/6))) z) |
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1/2 (pow.f64 z 2)) (+.f64 (*.f64 -1/6 (pow.f64 z 3)) (*.f64 -1/24 (pow.f64 z 4))))) |
(fma.f64 -1 z (fma.f64 -1/2 (*.f64 z z) (fma.f64 -1/6 (pow.f64 z 3) (*.f64 -1/24 (pow.f64 z 4))))) |
(-.f64 (fma.f64 -1/2 (*.f64 z z) (fma.f64 -1/6 (pow.f64 z 3) (*.f64 -1/24 (pow.f64 z 4)))) z) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) x) |
(fma.f64 -1 (/.f64 (*.f64 z y) t) x) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) x)) |
(fma.f64 -1 (/.f64 (*.f64 z y) t) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) x)) |
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) x) (*.f64 (/.f64 y t) z)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 y (pow.f64 z 3)) t)) x))) |
(fma.f64 -1 (/.f64 (*.f64 z y) t) (fma.f64 -1/2 (/.f64 y (/.f64 t (*.f64 z z))) (fma.f64 -1/6 (/.f64 y (/.f64 t (pow.f64 z 3))) x))) |
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (fma.f64 -1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) x)) (*.f64 (/.f64 y t) z)) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
x |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
x |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
x |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
(*.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t)) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
x |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
x |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(+.f64 (/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) x) |
(fma.f64 (-.f64 1 (exp.f64 z)) (/.f64 y t) x) |
(*.f64 -1 (/.f64 z t)) |
(/.f64 (neg.f64 z) t) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (*.f64 -1 (/.f64 z t))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (/.f64 (neg.f64 z) t)) |
(-.f64 (/.f64 -1/2 (/.f64 t (*.f64 z z))) (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (*.f64 -1 (/.f64 z t)))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (/.f64 (neg.f64 z) t))) |
(-.f64 (fma.f64 -1/2 (/.f64 z (/.f64 t z)) (/.f64 (pow.f64 z 3) (/.f64 t -1/6))) (/.f64 z t)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) t)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 z 3) t)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 z 4) t)) (*.f64 -1 (/.f64 z t))))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) t) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (fma.f64 -1/24 (/.f64 (pow.f64 z 4) t) (/.f64 (neg.f64 z) t)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 t z)) (fma.f64 -1/6 (/.f64 (pow.f64 z 3) t) (fma.f64 -1/24 (/.f64 (pow.f64 z 4) t) (/.f64 (neg.f64 z) t)))) |
(+.f64 1 (neg.f64 (exp.f64 z))) |
(-.f64 1 (exp.f64 z)) |
(+.f64 1 (*.f64 (neg.f64 (exp.f64 z)) 1)) |
(-.f64 1 (exp.f64 z)) |
(+.f64 (neg.f64 (exp.f64 z)) 1) |
(-.f64 1 (exp.f64 z)) |
(+.f64 (*.f64 (neg.f64 (exp.f64 z)) 1) 1) |
(-.f64 1 (exp.f64 z)) |
(+.f64 (-.f64 1 (+.f64 1 (exp.f64 z))) 1) |
(-.f64 1 (exp.f64 z)) |
(*.f64 1 (-.f64 1 (exp.f64 z))) |
(-.f64 1 (exp.f64 z)) |
(*.f64 (-.f64 1 (exp.f64 z)) 1) |
(-.f64 1 (exp.f64 z)) |
(*.f64 (sqrt.f64 (-.f64 1 (exp.f64 z))) (sqrt.f64 (-.f64 1 (exp.f64 z)))) |
(-.f64 1 (exp.f64 z)) |
(*.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) 2)) |
(-.f64 1 (exp.f64 z)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 z))) 2) (cbrt.f64 (-.f64 1 (exp.f64 z)))) |
(-.f64 1 (exp.f64 z)) |
(*.f64 (-.f64 1 (exp.f64 (+.f64 z z))) (/.f64 1 (+.f64 1 (exp.f64 z)))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 z z))) (+.f64 1 (exp.f64 z))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) z)) (+.f64 1 (exp.f64 z))) |
(*.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (+.f64 (+.f64 1 (exp.f64 z)) (exp.f64 (+.f64 z z)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 z))) (-.f64 1 (exp.f64 (+.f64 z z)))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 z z))) (+.f64 1 (exp.f64 z))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) z)) (+.f64 1 (exp.f64 z))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))))) (-.f64 1 (pow.f64 (exp.f64 z) 3))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (+.f64 (+.f64 1 (exp.f64 z)) (exp.f64 (+.f64 z z)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 z z))) (-.f64 1 (exp.f64 (+.f64 z z)))) (-.f64 1 (exp.f64 z))) |
(-.f64 1 (exp.f64 z)) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 z z))) (+.f64 1 (pow.f64 (exp.f64 z) 3))) (-.f64 (+.f64 1 (exp.f64 (+.f64 z z))) (exp.f64 z))) |
(*.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 z z))) (+.f64 1 (pow.f64 (exp.f64 z) 3))) (+.f64 1 (-.f64 (exp.f64 (+.f64 z z)) (exp.f64 z)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 2) z)) (+.f64 1 (pow.f64 (exp.f64 z) 3))) (+.f64 (pow.f64 (exp.f64 2) z) (-.f64 1 (exp.f64 z)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 2) z)) (+.f64 1 (pow.f64 (exp.f64 z) 3))) (+.f64 1 (*.f64 (exp.f64 z) (+.f64 -1 (exp.f64 z))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (-.f64 1 (*.f64 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))) (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))))) (-.f64 1 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (-.f64 1 (*.f64 (*.f64 (exp.f64 z) (-.f64 (exp.f64 z) -1)) (*.f64 (exp.f64 z) (-.f64 (exp.f64 z) -1))))) (-.f64 1 (*.f64 (exp.f64 z) (-.f64 (exp.f64 z) -1)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (-.f64 1 (*.f64 (+.f64 1 (exp.f64 z)) (+.f64 (pow.f64 (exp.f64 2) z) (pow.f64 (exp.f64 z) 3))))) (+.f64 1 (*.f64 (exp.f64 z) (-.f64 -1 (exp.f64 z))))) |
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(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))) (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))) (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))))) (+.f64 1 (pow.f64 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))) 3))) |
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(*.f64 (+.f64 (pow.f64 (exp.f64 2) z) (-.f64 1 (exp.f64 z))) (/.f64 (-.f64 1 (pow.f64 (exp.f64 2) z)) (*.f64 (+.f64 1 (pow.f64 (exp.f64 z) 3)) t))) |
(*.f64 (+.f64 1 (*.f64 (exp.f64 z) (+.f64 -1 (exp.f64 z)))) (/.f64 (-.f64 1 (pow.f64 (exp.f64 2) z)) (*.f64 (+.f64 1 (pow.f64 (exp.f64 z) 3)) t))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 t)) (-.f64 1 (*.f64 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))) (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))))) (-.f64 1 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))))) |
(*.f64 (-.f64 1 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))) (/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) t) (-.f64 1 (*.f64 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))) (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))))))) |
(*.f64 (-.f64 1 (*.f64 (exp.f64 z) (-.f64 (exp.f64 z) -1))) (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (*.f64 (-.f64 1 (*.f64 (*.f64 (exp.f64 z) (-.f64 (exp.f64 z) -1)) (*.f64 (exp.f64 z) (-.f64 (exp.f64 z) -1)))) t))) |
(*.f64 (+.f64 1 (*.f64 (exp.f64 z) (-.f64 -1 (exp.f64 z)))) (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (*.f64 (-.f64 1 (*.f64 (+.f64 1 (exp.f64 z)) (+.f64 (pow.f64 (exp.f64 2) z) (pow.f64 (exp.f64 z) 3)))) t))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 t)) (+.f64 1 (pow.f64 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))) (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))) (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) t) (+.f64 1 (-.f64 (*.f64 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))) (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))) (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z)))))) (+.f64 1 (pow.f64 (+.f64 (exp.f64 z) (exp.f64 (+.f64 z z))) 3))) |
(*.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 (exp.f64 z) (-.f64 (exp.f64 z) -1)) (*.f64 (exp.f64 z) (-.f64 (exp.f64 z) -1))) (*.f64 (exp.f64 z) (-.f64 (exp.f64 z) -1)))) (/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) t) (+.f64 1 (pow.f64 (*.f64 (exp.f64 z) (-.f64 (exp.f64 z) -1)) 3)))) |
(*.f64 (+.f64 1 (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z)) (+.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z)) -1))) (/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 z) 3)) t) (+.f64 1 (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (exp.f64 z)) 3)))) |
(pow.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) 1) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)) 2) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)) 3) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) 3) 1/3) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(pow.f64 (/.f64 t (-.f64 1 (exp.f64 z))) -1) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(neg.f64 (/.f64 (-.f64 1 (exp.f64 z)) (neg.f64 t))) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) 2)) |
(fabs.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (exp.f64 z)) t))) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)))) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) 3)) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (exp.f64 z)) t))) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (exp.f64 z)) t))) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (exp.f64 z)) t)) 1)) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (exp.f64 z)) t))) |
(/.f64 (-.f64 1 (exp.f64 z)) t) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 y (expm1.f64 z)) | |
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) |
| ✓ | 1.4b | (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t) |
| ✓ | 10.5b | (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
Compiled 56 to 18 computations (67.9% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) |
| 2.0ms | z | @ | 0 | (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) |
| 1.0ms | y | @ | -inf | (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 1.0ms | y | @ | -inf | (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) |
| 1.0ms | z | @ | 0 | (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 1× | batch-egg-rewrite |
| 1006× | *-commutative |
| 732× | unswap-sqr |
| 694× | associate-/r* |
| 622× | swap-sqr |
| 570× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 55 |
| 1 | 263 | 55 |
| 2 | 2867 | 55 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t) |
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/4) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/4)) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/4)) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 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| 1× | egg-herbie |
| 1334× | associate-+r+ |
| 1012× | +-commutative |
| 998× | associate-+l+ |
| 806× | associate-/r/ |
| 772× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 445 | 8926 |
| 1 | 1189 | 8102 |
| 2 | 5167 | 8102 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(+.f64 (sqrt.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))) |
(+.f64 (sqrt.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (-.f64 (exp.f64 z) 1)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) 2)) (pow.f64 y 2)))))) |
(+.f64 (sqrt.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 3))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (-.f64 (exp.f64 z) 1)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) 2)) (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) (pow.f64 y 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (-.f64 (exp.f64 z) 1)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) 2)) (pow.f64 y 2))))))) |
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(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/2) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t)) |
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1) |
(*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 -1 t)) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1)) |
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (/.f64 1 (sqrt.f64 t))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) |
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (/.f64 1 (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 -1 t) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t))) |
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (sqrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1/2) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1/2)) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3) |
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1)) |
(neg.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 -1 t))) |
(neg.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) |
(*.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/4) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/4))) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (neg.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (neg.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/4)) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 -1 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) 1/4) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) 1/4)) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/6)) |
(neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) |
(log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
| Outputs |
|---|
(sqrt.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(sqrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) |
(sqrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) |
(+.f64 (sqrt.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))) |
(+.f64 (sqrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))) (/.f64 (/.f64 1 (expm1.f64 z)) y)))) |
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))) (*.f64 (expm1.f64 z) y)) (sqrt.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))) |
(+.f64 (sqrt.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (-.f64 (exp.f64 z) 1)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) 2)) (pow.f64 y 2)))))) |
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(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/6)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(*.f64 (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1/2) (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1/2)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(neg.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 -1 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(neg.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) |
(fabs.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/4) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/4))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) 4)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) 4)) |
(*.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (neg.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (neg.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/4)) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1/4)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) 4)) |
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) 4)) |
(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 -1 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2))) |
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) 1/4) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) 1/4)) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2) 1/2) |
(fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/6)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2) 1/2) |
(fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
Compiled 35404 to 15215 computations (57% saved)
23 alts after pruning (15 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1380 | 6 | 1386 |
| Fresh | 3 | 9 | 12 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 7 | 8 |
| Total | 1384 | 23 | 1407 |
| Status | Error | Program |
|---|---|---|
| ✓ | 17.3b | (fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
| 33.0b | (pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) | |
| 1.8b | (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3) | |
| ▶ | 45.0b | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| ✓ | 20.1b | (-.f64 x (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t)) |
| ✓ | 0.8b | (-.f64 x (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) t)) |
| 11.3b | (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) | |
| ✓ | 13.4b | (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) |
| ✓ | 0.5b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| ▶ | 0.6b | (-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) |
| 20.6b | (-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) | |
| ▶ | 18.5b | (-.f64 x (/.f64 y (/.f64 t z))) |
| 18.6b | (-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) | |
| 13.5b | (-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 z y))))) | |
| ✓ | 0.5b | (-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
| 7.1b | (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) | |
| 21.8b | (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))) | |
| ▶ | 26.2b | (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z)))))) |
| ✓ | 20.3b | (-.f64 x (*.f64 (/.f64 y t) z)) |
| ▶ | 13.5b | (-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z y)))) |
| ✓ | 18.5b | (-.f64 x (*.f64 y (/.f64 z t))) |
| 51.6b | (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) | |
| 18.9b | x |
Compiled 534 to 373 computations (30.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 y (expm1.f64 z)) | |
| ✓ | 0.0b | (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| ✓ | 0.3b | (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
| ✓ | 3.3b | (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t) |
Compiled 52 to 11 computations (78.8% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | z | @ | -inf | (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 19.0ms | y | @ | -inf | (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 13.0ms | z | @ | inf | (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 2.0ms | y | @ | inf | (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 1.0ms | z | @ | 0 | (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 1× | batch-egg-rewrite |
| 964× | *-commutative |
| 716× | unswap-sqr |
| 616× | associate-/r* |
| 598× | swap-sqr |
| 594× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 55 |
| 1 | 235 | 55 |
| 2 | 2657 | 55 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t) |
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 2) 1) (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 3) 1) (+.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 2) (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 2) 1)) (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 3) 1)) (+.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 2) (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 2) 1) 1) (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 3) 1) 1) (+.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 2) (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (*.f64 y (expm1.f64 z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) |
| 1× | egg-herbie |
| 1034× | associate-*r* |
| 942× | associate-*l* |
| 728× | fma-def |
| 580× | associate-+r- |
| 536× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 547 | 9389 |
| 1 | 1542 | 8757 |
| 2 | 7034 | 8757 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) |
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(/.f64 (*.f64 y z) t) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (/.f64 (*.f64 y z) t))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) t)) (+.f64 (/.f64 (*.f64 y z) t) (*.f64 1/24 (/.f64 (*.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)) t))))) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4))) (+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) |
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) |
(*.f64 y z) |
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(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3) |
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) |
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) |
(neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1)) |
(neg.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 -1 t))) |
(neg.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 0) |
(+.f64 1 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1)) |
(+.f64 1 (-.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)) |
(+.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) -1) |
(+.f64 -1 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)) |
(-.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 1) |
(-.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) 2) |
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) |
(*.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (neg.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (neg.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 -1 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/6)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 2) 1) (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 3) 1) (+.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 2) (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 2) 1)) (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 3) 1)) (+.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 2) (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 2) 1) 1) (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 3) 1) 1) (+.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 2) (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))) |
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3) |
(neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) |
(log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) |
(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1) |
(*.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) |
(*.f64 1 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/6)) |
(pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) |
(log.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))) |
(+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (/.f64 (*.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))) t)) |
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)))) |
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (/.f64 (*.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))) t))) |
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 z) 4) (/.f64 t (pow.f64 y 4))) (fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 t (pow.f64 y 3))) (+.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) (/.f64 (*.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))) t)))) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 4) t) (pow.f64 y 4)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) t) (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (/.f64 (expm1.f64 z) (/.f64 t y))))) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t) |
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) |
(+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y)))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z)) (-.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1/2 (*.f64 t (*.f64 y y))) (pow.f64 (expm1.f64 z) 2))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t))))) |
(-.f64 (+.f64 (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 t (pow.f64 y 3))))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t (*.f64 y y))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1 (*.f64 y t)) (expm1.f64 z))) (-.f64 (/.f64 (/.f64 (/.f64 1/3 (pow.f64 y 3)) (pow.f64 (expm1.f64 z) 3)) t) (/.f64 (/.f64 1/2 (*.f64 t (*.f64 y y))) (pow.f64 (expm1.f64 z) 2))))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) t) |
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) |
(+.f64 (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))))) |
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(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (/.f64 1 (sqrt.f64 t))) |
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(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (sqrt.f64 t)) |
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(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2)) |
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (+.f64 2 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 3) 1)) (+.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 2) (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3) -1) (+.f64 (+.f64 2 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (+.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3)) (+.f64 2 (+.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (+.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 2) 1) 1) (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) -1) (+.f64 2 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (+.f64 2 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 3) 1) 1) (+.f64 (pow.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 2) (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3) -1) (+.f64 (+.f64 2 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (+.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3)) (+.f64 2 (+.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (+.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)))) |
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) |
(fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(log.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 1 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) |
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (*.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3/2)) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/6)) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(pow.f64 (sqrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 2) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(pow.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/3) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) |
(sqrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) |
(fabs.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(log.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.4b | (/.f64 y (/.f64 t z)) |
Compiled 23 to 7 computations (69.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 y (/.f64 t z)) |
| 0.0ms | z | @ | inf | (/.f64 y (/.f64 t z)) |
| 0.0ms | z | @ | -inf | (/.f64 y (/.f64 t z)) |
| 0.0ms | t | @ | -inf | (/.f64 y (/.f64 t z)) |
| 0.0ms | t | @ | inf | (/.f64 y (/.f64 t z)) |
| 1× | batch-egg-rewrite |
| 1766× | add-sqr-sqrt |
| 1754× | *-un-lft-identity |
| 1636× | add-cube-cbrt |
| 1612× | add-cbrt-cube |
| 160× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 151 | 13 |
| 2 | 2155 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (/.f64 t z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (cbrt.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y t) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z t) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y t) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y t) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y t) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 t z))) (/.f64 y (sqrt.f64 (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 y (cbrt.f64 (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 t)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) t) (/.f64 (sqrt.f64 y) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) t) (/.f64 (cbrt.f64 y) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (/.f64 t z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (*.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t)))))))) |
| 1× | egg-herbie |
| 1482× | associate-+r+ |
| 1336× | associate-+l+ |
| 1164× | associate-*r/ |
| 774× | associate-*l/ |
| 686× | associate-+l- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 1266 |
| 1 | 292 | 1248 |
| 2 | 1088 | 1248 |
| 3 | 4918 | 1248 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 (*.f64 y z) t) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) 1) |
(*.f64 y (/.f64 z t)) |
(*.f64 z (/.f64 y t)) |
(*.f64 (*.f64 y (/.f64 z t)) 1) |
(*.f64 1 (*.f64 y (/.f64 z t))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 z t))) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 y (/.f64 z t)))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 z t))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (cbrt.f64 (*.f64 y (/.f64 z t)))) |
(*.f64 (/.f64 y t) z) |
(*.f64 (/.f64 z t) y) |
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z))) |
(*.f64 (*.f64 (/.f64 y t) 1) z) |
(*.f64 (*.f64 (/.f64 y t) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 (*.f64 (/.f64 y t) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)) |
(*.f64 (/.f64 y 1) (/.f64 z t)) |
(*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 t z))) (/.f64 y (sqrt.f64 (/.f64 t z)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 y (cbrt.f64 (/.f64 t z)))) |
(*.f64 (/.f64 y (neg.f64 t)) (neg.f64 z)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 t z))) |
(*.f64 (/.f64 (sqrt.f64 y) t) (/.f64 (sqrt.f64 y) (/.f64 1 z))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 t z))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 t z)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) t) (/.f64 (cbrt.f64 y) (/.f64 1 z))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (/.f64 t z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 t z)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 (*.f64 y (/.f64 z t)))) |
(pow.f64 (*.f64 y (/.f64 z t)) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3) |
(pow.f64 (/.f64 t (*.f64 y z)) -1) |
(neg.f64 (/.f64 y (/.f64 (neg.f64 t) z))) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 z t))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 z t))))) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) |
(exp.f64 (log.f64 (*.f64 y (/.f64 z t)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z t))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t)))) |
| Outputs |
|---|
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) 1) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 z (/.f64 y t)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (*.f64 y (/.f64 z t)) 1) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 1 (*.f64 y (/.f64 z t))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 z t))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 y (/.f64 z t)))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 z t))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (/.f64 z t) (cbrt.f64 y))) |
(*.f64 (/.f64 z t) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) (/.f64 t z))) |
(*.f64 z (*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) t))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (cbrt.f64 (*.f64 y (/.f64 z t)))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (/.f64 y t) z) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (/.f64 z t) y) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 t) z))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (*.f64 (/.f64 y t) 1) z) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (*.f64 (/.f64 y t) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (*.f64 (/.f64 y t) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)) |
(*.f64 (/.f64 y t) (*.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z))) |
(*.f64 (/.f64 y 1) (/.f64 z t)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 t z))) (/.f64 y (sqrt.f64 (/.f64 t z)))) |
(/.f64 (/.f64 y (sqrt.f64 (/.f64 t z))) (sqrt.f64 (/.f64 t z))) |
(/.f64 y (*.f64 (sqrt.f64 (/.f64 t z)) (sqrt.f64 (/.f64 t z)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 y (cbrt.f64 (/.f64 t z)))) |
(/.f64 (/.f64 y (cbrt.f64 (/.f64 t z))) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) |
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) 2) (cbrt.f64 (/.f64 t z)))) |
(*.f64 (/.f64 y (neg.f64 t)) (neg.f64 z)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 t z))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (/.f64 (sqrt.f64 y) t) (/.f64 (sqrt.f64 y) (/.f64 1 z))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 t z))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (/.f64 z t) (cbrt.f64 y))) |
(*.f64 (/.f64 z t) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) (/.f64 t z))) |
(*.f64 z (*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) t))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 t z)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (/.f64 y (cbrt.f64 (/.f64 t z)))) |
(/.f64 (/.f64 y (cbrt.f64 (/.f64 t z))) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) |
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 t z)) 2) (cbrt.f64 (/.f64 t z)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) t) (/.f64 (cbrt.f64 y) (/.f64 1 z))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (/.f64 z t) (cbrt.f64 y))) |
(*.f64 (/.f64 z t) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) (/.f64 t z))) |
(*.f64 z (*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) t))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (/.f64 t z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 t z)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 t z)))) (sqrt.f64 (/.f64 t z))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) (cbrt.f64 (*.f64 y (/.f64 z t)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (*.f64 z (/.f64 y t)))) (pow.f64 (cbrt.f64 (/.f64 t z)) 2)) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 t z)) 2))) |
(pow.f64 (*.f64 y (/.f64 z t)) 1) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) 2) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 3) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3) 1/3) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(pow.f64 (/.f64 t (*.f64 y z)) -1) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(neg.f64 (/.f64 y (/.f64 (neg.f64 t) z))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 2)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 z t))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 z t))))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 z t)) 3)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(exp.f64 (log.f64 (*.f64 y (/.f64 z t)))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z t))) 1)) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 z t)))) |
(*.f64 z (/.f64 y t)) |
(*.f64 y (/.f64 z t)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 4.4b | (/.f64 y (/.f64 t z)) | |
| ✓ | 4.7b | (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z))))) |
| ✓ | 7.3b | (/.f64 t (*.f64 z z)) |
| ✓ | 13.9b | (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z))) |
Compiled 84 to 20 computations (76.2% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z))) |
| 1.0ms | t | @ | 0 | (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z))) |
| 1.0ms | z | @ | 0 | (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z))) |
| 0.0ms | t | @ | inf | (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z))) |
| 0.0ms | z | @ | inf | (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z))) |
| 1× | batch-egg-rewrite |
| 1374× | associate-/l/ |
| 608× | distribute-rgt-in |
| 564× | distribute-lft-in |
| 334× | add-sqr-sqrt |
| 326× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 87 |
| 1 | 320 | 79 |
| 2 | 5100 | 79 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y y) (/.f64 t (*.f64 z z))) |
(/.f64 t (*.f64 z z)) |
(+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z))))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1714× | distribute-lft-in |
| 754× | associate-*r* |
| 742× | associate-*l* |
| 554× | *-commutative |
| 490× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 409 | 9331 |
| 1 | 1217 | 8895 |
| 2 | 5712 | 8895 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 (*.f64 y z) t) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t)) |
(/.f64 (*.f64 y z) t) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2))) 1) |
(*.f64 y (*.f64 y (/.f64 z (/.f64 t z)))) |
(*.f64 y (/.f64 1 (/.f64 (/.f64 t z) (*.f64 y z)))) |
(*.f64 (*.f64 y y) (/.f64 z (/.f64 t z))) |
(*.f64 (*.f64 z z) (/.f64 y (/.f64 t y))) |
(*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) 1) |
(*.f64 1 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2)) |
(*.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) (/.f64 y (/.f64 (sqrt.f64 t) z))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 y 4)) (*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 z (/.f64 t z)))) |
(*.f64 (/.f64 y (/.f64 t y)) (*.f64 z z)) |
(*.f64 (/.f64 y t) (/.f64 y (pow.f64 z -2))) |
(*.f64 (/.f64 z (/.f64 t z)) (*.f64 y y)) |
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 1 (*.f64 t (neg.f64 (pow.f64 z -2))))) |
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(fma.f64 y (/.f64 z t) (*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) -1/2)) |
(fma.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) -1/2 (*.f64 y (/.f64 z t))) |
(fma.f64 -1/2 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) (*.f64 y (/.f64 z t))) |
(fma.f64 1 (*.f64 y (/.f64 z t)) (*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) -1/2)) |
(fma.f64 1 (*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) -1/2) (*.f64 y (/.f64 z t))) |
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 y (/.f64 z t))) (*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) -1/2)) |
(fma.f64 (*.f64 (sqrt.f64 -1/2) (/.f64 y (/.f64 (sqrt.f64 t) z))) (*.f64 (sqrt.f64 -1/2) (/.f64 y (/.f64 (sqrt.f64 t) z))) (*.f64 y (/.f64 z t))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (cbrt.f64 (*.f64 y (/.f64 z t))) (*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) -1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) -1/2)) 2) (cbrt.f64 (*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) -1/2)) (*.f64 y (/.f64 z t))) |
(fma.f64 (/.f64 y t) z (*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) -1/2)) |
| Outputs |
|---|
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) |
(*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 t (pow.f64 z 2)) |
(/.f64 t (*.f64 z z)) |
(*.f64 t (pow.f64 z -2)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y (/.f64 z t)) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) (*.f64 y (/.f64 z t))) |
(fma.f64 y (/.f64 z t) (*.f64 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) -1/2)) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) (*.f64 y (/.f64 z t))) |
(fma.f64 y (/.f64 z t) (*.f64 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) -1/2)) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) (*.f64 y (/.f64 z t))) |
(fma.f64 y (/.f64 z t) (*.f64 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) -1/2)) |
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) |
(*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) |
(*.f64 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) -1/2) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) (*.f64 y (/.f64 z t))) |
(fma.f64 y (/.f64 z t) (*.f64 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) -1/2)) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) (*.f64 y (/.f64 z t))) |
(fma.f64 y (/.f64 z t) (*.f64 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) -1/2)) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) (*.f64 y (/.f64 z t))) |
(fma.f64 y (/.f64 z t) (*.f64 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) -1/2)) |
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) |
(*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) |
(*.f64 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) -1/2) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) (*.f64 y (/.f64 z t))) |
(fma.f64 y (/.f64 z t) (*.f64 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) -1/2)) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) (*.f64 y (/.f64 z t))) |
(fma.f64 y (/.f64 z t) (*.f64 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) -1/2)) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) (*.f64 y (/.f64 z t))) |
(fma.f64 y (/.f64 z t) (*.f64 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z))) -1/2)) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t) |
(/.f64 (fma.f64 y z (*.f64 (*.f64 (*.f64 y y) (*.f64 z z)) -1/2)) t) |
(/.f64 (fma.f64 y z (*.f64 (*.f64 y y) (*.f64 -1/2 (*.f64 z z)))) t) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t) |
(/.f64 (fma.f64 y z (*.f64 (*.f64 (*.f64 y y) (*.f64 z z)) -1/2)) t) |
(/.f64 (fma.f64 y z (*.f64 (*.f64 y y) (*.f64 -1/2 (*.f64 z z)))) t) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t) |
(/.f64 (fma.f64 y z (*.f64 (*.f64 (*.f64 y y) (*.f64 z z)) -1/2)) t) |
(/.f64 (fma.f64 y z (*.f64 (*.f64 y y) (*.f64 -1/2 (*.f64 z z)))) t) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t) |
(/.f64 (fma.f64 y z (*.f64 (*.f64 (*.f64 y y) (*.f64 z z)) -1/2)) t) |
(/.f64 (fma.f64 y z (*.f64 (*.f64 y y) (*.f64 -1/2 (*.f64 z z)))) t) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t) |
(/.f64 (fma.f64 y z (*.f64 (*.f64 (*.f64 y y) (*.f64 z z)) -1/2)) t) |
(/.f64 (fma.f64 y z (*.f64 (*.f64 y y) (*.f64 -1/2 (*.f64 z z)))) t) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t) |
(/.f64 (fma.f64 y z (*.f64 (*.f64 (*.f64 y y) (*.f64 z z)) -1/2)) t) |
(/.f64 (fma.f64 y z (*.f64 (*.f64 y y) (*.f64 -1/2 (*.f64 z z)))) t) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t) |
(/.f64 (fma.f64 y z (*.f64 (*.f64 (*.f64 y y) (*.f64 z z)) -1/2)) t) |
(/.f64 (fma.f64 y z (*.f64 (*.f64 y y) (*.f64 -1/2 (*.f64 z z)))) t) |
(/.f64 (+.f64 (*.f64 y z) (*.f64 -1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t) |
(/.f64 (fma.f64 y z (*.f64 (*.f64 (*.f64 y y) (*.f64 z z)) -1/2)) t) |
(/.f64 (fma.f64 y z (*.f64 (*.f64 y y) (*.f64 -1/2 (*.f64 z z)))) t) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t)) |
(neg.f64 (/.f64 (fma.f64 -1 (*.f64 y z) (*.f64 (*.f64 (*.f64 y y) (*.f64 z z)) 1/2)) t)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) 1/2)) (*.f64 y z))) t) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t)) |
(neg.f64 (/.f64 (fma.f64 -1 (*.f64 y z) (*.f64 (*.f64 (*.f64 y y) (*.f64 z z)) 1/2)) t)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) 1/2)) (*.f64 y z))) t) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t)) |
(neg.f64 (/.f64 (fma.f64 -1 (*.f64 y z) (*.f64 (*.f64 (*.f64 y y) (*.f64 z z)) 1/2)) t)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) 1/2)) (*.f64 y z))) t) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) t)) |
(neg.f64 (/.f64 (fma.f64 -1 (*.f64 y z) (*.f64 (*.f64 (*.f64 y y) (*.f64 z z)) 1/2)) t)) |
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(fma.f64 y (/.f64 z t) (*.f64 -1/2 (pow.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) 2))) |
(fma.f64 -1/2 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) (*.f64 y (/.f64 z t))) |
(fma.f64 -1/2 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 t)) z) 2) (*.f64 y (/.f64 z t))) |
(fma.f64 y (/.f64 z t) (*.f64 -1/2 (pow.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) 2))) |
(fma.f64 1 (*.f64 y (/.f64 z t)) (*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) -1/2)) |
(fma.f64 -1/2 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 t)) z) 2) (*.f64 y (/.f64 z t))) |
(fma.f64 y (/.f64 z t) (*.f64 -1/2 (pow.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) 2))) |
(fma.f64 1 (*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) -1/2) (*.f64 y (/.f64 z t))) |
(fma.f64 -1/2 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 t)) z) 2) (*.f64 y (/.f64 z t))) |
(fma.f64 y (/.f64 z t) (*.f64 -1/2 (pow.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) 2))) |
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 z t))) (sqrt.f64 (*.f64 y (/.f64 z t))) (*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) -1/2)) |
(fma.f64 -1/2 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 t)) z) 2) (*.f64 y (/.f64 z t))) |
(fma.f64 y (/.f64 z t) (*.f64 -1/2 (pow.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) 2))) |
(fma.f64 (*.f64 (sqrt.f64 -1/2) (/.f64 y (/.f64 (sqrt.f64 t) z))) (*.f64 (sqrt.f64 -1/2) (/.f64 y (/.f64 (sqrt.f64 t) z))) (*.f64 y (/.f64 z t))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 -1/2) y) (/.f64 (sqrt.f64 t) z)) (/.f64 (*.f64 (sqrt.f64 -1/2) y) (/.f64 (sqrt.f64 t) z)) (*.f64 y (/.f64 z t))) |
(+.f64 (*.f64 y (/.f64 z t)) (*.f64 (pow.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) 2) (*.f64 (sqrt.f64 -1/2) (sqrt.f64 -1/2)))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 z t))) 2) (cbrt.f64 (*.f64 y (/.f64 z t))) (*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) -1/2)) |
(fma.f64 -1/2 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 t)) z) 2) (*.f64 y (/.f64 z t))) |
(fma.f64 y (/.f64 z t) (*.f64 -1/2 (pow.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) 2))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) -1/2)) 2) (cbrt.f64 (*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) -1/2)) (*.f64 y (/.f64 z t))) |
(fma.f64 -1/2 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 t)) z) 2) (*.f64 y (/.f64 z t))) |
(fma.f64 y (/.f64 z t) (*.f64 -1/2 (pow.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) 2))) |
(fma.f64 (/.f64 y t) z (*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) 2) -1/2)) |
(fma.f64 -1/2 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 t)) z) 2) (*.f64 y (/.f64 z t))) |
(fma.f64 y (/.f64 z t) (*.f64 -1/2 (pow.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) 2))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 3.4b | (log1p.f64 (*.f64 z y)) | |
| ✓ | 3.4b | (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z y))) |
Compiled 37 to 16 computations (56.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | -inf | (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z y))) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z y))) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z y))) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z y))) |
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z y))) |
| 1× | batch-egg-rewrite |
| 1960× | add-sqr-sqrt |
| 1944× | *-un-lft-identity |
| 1796× | add-cube-cbrt |
| 1766× | add-cbrt-cube |
| 206× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 17 |
| 1 | 214 | 17 |
| 2 | 2500 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (log1p.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (*.f64 z y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 (*.f64 z y)) -1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log1p.f64 (*.f64 z y))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 (*.f64 z y)) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 (*.f64 z y)) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log1p.f64 (*.f64 z y))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))))))) |
| 1× | egg-herbie |
| 1358× | associate-+r- |
| 1214× | times-frac |
| 1098× | associate-*r* |
| 974× | +-commutative |
| 932× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 2453 |
| 1 | 427 | 2307 |
| 2 | 1389 | 2219 |
| 3 | 7094 | 2219 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (*.f64 y z) t) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 (*.f64 y z) t) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) t)) (+.f64 (/.f64 (*.f64 y z) t) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t))))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y)) t) |
(+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) t)) (/.f64 (log.f64 y) t))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) t)) (/.f64 (log.f64 y) t))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) t)) (+.f64 (/.f64 (log.f64 y) t) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) |
(/.f64 (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) |
(+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) t)) (/.f64 (log.f64 (*.f64 -1 y)) t))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) t)) (/.f64 (log.f64 (*.f64 -1 y)) t))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) t)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3))))) (/.f64 (log.f64 (*.f64 -1 y)) t)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) |
(/.f64 (*.f64 y z) t) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 (*.f64 y z) t) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 y 4) (pow.f64 z 4)) t)) (+.f64 (/.f64 (*.f64 y z) t) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t))))) |
(/.f64 (+.f64 (log.f64 z) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (/.f64 (log.f64 z) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (/.f64 (log.f64 z) t) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (/.f64 (log.f64 z) t) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z))) t) |
(+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 z)) t))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 z)) t))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y (*.f64 t z))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (/.f64 (log.f64 (*.f64 -1 z)) t) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (*.f64 t (pow.f64 z 3)))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (*.f64 t (pow.f64 z 2)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) 1) |
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 z y)))) |
(/.f64 (log1p.f64 (*.f64 z y)) t) |
(/.f64 (sqrt.f64 (log1p.f64 (*.f64 z y))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 z y))))) |
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 z y))) 2) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 z y))))) |
(/.f64 (*.f64 (log1p.f64 (*.f64 z y)) -1) (neg.f64 t)) |
(/.f64 (*.f64 -1 (log1p.f64 (*.f64 z y))) (neg.f64 t)) |
(/.f64 (/.f64 (log1p.f64 (*.f64 z y)) 1) t) |
(/.f64 (/.f64 (log1p.f64 (*.f64 z y)) (sqrt.f64 t)) (sqrt.f64 t)) |
(/.f64 (/.f64 (log1p.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 z y))) (neg.f64 t)) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 3) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
| Outputs |
|---|
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (log.f64 (+.f64 (*.f64 y z) 1)) t) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(/.f64 (*.f64 y z) t) |
(/.f64 y (/.f64 t z)) |
(/.f64 z (/.f64 t y)) |
(+.f64 (/.f64 (*.f64 y z) t) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t))) |
(+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 y y) t) (*.f64 z z)) (/.f64 z (/.f64 t y))) |
(fma.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 (*.f64 y y) t)) (/.f64 y (/.f64 t z))) |
(+.f64 (/.f64 (*.f64 y z) t) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) t)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) t)))) |
(+.f64 (/.f64 y (/.f64 t z)) (fma.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z))) (*.f64 1/3 (/.f64 (pow.f64 y 3) (/.f64 t (pow.f64 z 3)))))) |
(+.f64 (/.f64 z (/.f64 t y)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 y y) t) (*.f64 z z)) (/.f64 (*.f64 (*.f64 1/3 (pow.f64 z 3)) (pow.f64 y 3)) t))) |
(fma.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 (*.f64 y y) t)) (fma.f64 (/.f64 y t) z (*.f64 (/.f64 1/3 t) (*.f64 (pow.f64 y 3) (pow.f64 z 3))))) |
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(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 2) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 3) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 3) 1/3) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 2)) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 z y)) t) 3)) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 z y)) t)) 1)) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(/.f64 (log.f64 (fma.f64 y z 1)) t) |
(/.f64 (log1p.f64 (*.f64 y z)) t) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 (*.f64 (expm1.f64 z) y)) |
| ✓ | 0.0b | (*.f64 (expm1.f64 z) y) |
| ✓ | 3.3b | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
Compiled 32 to 9 computations (71.9% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| 0.0ms | y | @ | 0 | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| 0.0ms | y | @ | inf | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| 0.0ms | z | @ | inf | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| 0.0ms | y | @ | -inf | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| 1× | batch-egg-rewrite |
| 1988× | add-sqr-sqrt |
| 1976× | *-un-lft-identity |
| 1828× | add-cube-cbrt |
| 1800× | add-cbrt-cube |
| 222× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 51 |
| 1 | 222 | 47 |
| 2 | 2896 | 47 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(*.f64 (expm1.f64 z) y) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 t) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (expm1.f64 z) y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3)) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2) (*.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (*.f64 (expm1.f64 z) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1)))))) |
| 1× | egg-herbie |
| 1576× | associate-*r/ |
| 1230× | associate-*l/ |
| 1108× | associate-+l+ |
| 1028× | associate-+r+ |
| 760× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 5167 |
| 1 | 884 | 4865 |
| 2 | 4095 | 4865 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)))) |
(+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 z 4) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4))))))) t)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t))))) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))) |
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)))) |
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)) t)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)) t)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4)) t)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t))))) |
(*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t)) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 (pow.f64 y 2) t)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 (pow.f64 y 3) t)))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) (*.f64 y t))))) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2)))) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 1/24 (*.f64 y (pow.f64 z 4))) (*.f64 1/6 (*.f64 y (pow.f64 z 3)))))) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))))) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 y 2)) (+.f64 y (+.f64 (*.f64 12 (pow.f64 y 3)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (*.f64 -6 (pow.f64 y 4)))))) (pow.f64 z 4)))))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 4) (pow.f64 y 4))) (+.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y))))) |
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) |
(-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3)))) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 y 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 y 2))))) |
(-.f64 0 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) 1) |
(-.f64 (/.f64 0 t) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t)) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (neg.f64 t))) |
(*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1) |
(*.f64 1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 1 t))) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 1 t))) |
(*.f64 -1 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(*.f64 (/.f64 -1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 3) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 1/3) |
(pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -1) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(-.f64 (+.f64 (*.f64 (expm1.f64 z) y) 1) 1) |
(pow.f64 (*.f64 (expm1.f64 z) y) 1) |
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 3) |
(pow.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (expm1.f64 z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) y)))) |
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(exp.f64 (log.f64 (*.f64 (expm1.f64 z) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 z) y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) y))) |
(+.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(-.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) 1) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) |
(*.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(*.f64 -1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3)) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2) (*.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) 1/3) |
(neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) |
(log.f64 (+.f64 (*.f64 (expm1.f64 z) y) 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(exp.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 y z) t)) |
(neg.f64 (/.f64 y (/.f64 t z))) |
(neg.f64 (*.f64 (/.f64 y t) z)) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) t)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t))) |
(fma.f64 -1 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 z z) (fma.f64 -1 (*.f64 y y) y)) t))) |
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y)))) (*.f64 (/.f64 y t) z)) |
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (/.f64 (neg.f64 (*.f64 y z)) t)) |
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2)) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 -1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) |
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (/.f64 -1 (sqrt.f64 t))) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (sqrt.f64 t)) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) |
(/.f64 (*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 t) 2)) (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 3) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3) 1/3) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) -1) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(neg.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) |
(fabs.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 3)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 1)) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(-.f64 (+.f64 (*.f64 (expm1.f64 z) y) 1) 1) |
(*.f64 y (expm1.f64 z)) |
(pow.f64 (*.f64 (expm1.f64 z) y) 1) |
(*.f64 y (expm1.f64 z)) |
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 2) |
(*.f64 y (expm1.f64 z)) |
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 3) |
(*.f64 y (expm1.f64 z)) |
(pow.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3) 1/3) |
(*.f64 y (expm1.f64 z)) |
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2)) |
(sqrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 2)) |
(fabs.f64 (*.f64 y (expm1.f64 z))) |
(log.f64 (pow.f64 (exp.f64 y) (expm1.f64 z))) |
(*.f64 y (expm1.f64 z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 y (expm1.f64 z)) |
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 3)) |
(*.f64 y (expm1.f64 z)) |
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 y (expm1.f64 z)) |
(exp.f64 (log.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 y (expm1.f64 z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 z) y)) 1)) |
(*.f64 y (expm1.f64 z)) |
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 y (expm1.f64 z)) |
(+.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(-.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) 1) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 -1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 (neg.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3)) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2) (*.f64 0 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(/.f64 (neg.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) (+.f64 0 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))) |
(/.f64 (neg.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) |
(pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 1) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) 1/3) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2)) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)) |
(fabs.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(log.f64 (+.f64 (*.f64 (expm1.f64 z) y) 1)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(exp.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1)) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
Compiled 26592 to 12394 computations (53.4% saved)
31 alts after pruning (23 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1043 | 14 | 1057 |
| Fresh | 1 | 9 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 5 | 7 | 12 |
| Total | 1049 | 31 | 1080 |
| Status | Error | Program |
|---|---|---|
| ✓ | 17.3b | (fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
| 33.0b | (pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) | |
| 50.4b | (/.f64 (neg.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) t) | |
| 54.6b | (/.f64 (neg.f64 (*.f64 y z)) t) | |
| ✓ | 45.0b | (/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| 51.6b | (/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t) | |
| 45.0b | (/.f64 (neg.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) t) | |
| 53.5b | (/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) | |
| 50.1b | (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3))) t) | |
| 11.3b | (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) | |
| 26.4b | (-.f64 x (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) 1/2)) (*.f64 y z))) t)) | |
| ✓ | 13.4b | (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) |
| ✓ | 0.5b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| 20.6b | (-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) | |
| 18.6b | (-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) | |
| 13.5b | (-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 z y))))) | |
| ✓ | 0.5b | (-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
| 7.1b | (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) | |
| 10.9b | (-.f64 x (-.f64 (/.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) t) (pow.f64 t -1))) | |
| 21.8b | (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))) | |
| 23.2b | (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z)))))) | |
| 20.8b | (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (*.f64 y (/.f64 1 (/.f64 (/.f64 t z) (*.f64 y z))))))) | |
| 26.4b | (-.f64 x (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) (*.f64 y (/.f64 z t)))) | |
| ✓ | 20.3b | (-.f64 x (*.f64 (/.f64 y t) z)) |
| 18.6b | (-.f64 x (*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))) | |
| ✓ | 13.5b | (-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z y)))) |
| ✓ | 18.5b | (-.f64 x (*.f64 y (/.f64 z t))) |
| 51.6b | (*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) | |
| 54.4b | (neg.f64 (/.f64 y (/.f64 t z))) | |
| 56.6b | (neg.f64 (*.f64 (/.f64 y t) z)) | |
| 18.9b | x |
Compiled 449 to 312 computations (30.5% saved)
| Inputs |
|---|
x |
(neg.f64 (*.f64 (/.f64 y t) z)) |
(neg.f64 (/.f64 y (/.f64 t z))) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
(-.f64 x (*.f64 y (/.f64 z t))) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 (*.f64 y z) t)) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))) |
(-.f64 x (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) 1/2)) (*.f64 y z))) t)) |
(-.f64 x (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) (*.f64 y (/.f64 z t)))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z)))))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z)))))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (*.f64 y (/.f64 1 (/.f64 (/.f64 t z) (*.f64 y z))))))) |
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) |
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t) |
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) |
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z y)))) |
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 z y))))) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(fma.f64 (/.f64 (-.f64 1 (exp.f64 z)) t) y x) |
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 z y))) -1)) |
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(fma.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t)) x) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
(/.f64 1 (/.f64 1 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) |
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) |
(-.f64 x (-.f64 (/.f64 (+.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) t) (pow.f64 t -1))) |
(/.f64 (neg.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) t) |
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) |
(-.f64 x (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) |
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3))) t) |
(/.f64 (neg.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) t) |
(-.f64 x (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) t)) |
(-.f64 x (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t)) |
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3) |
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) |
| Outputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
9 calls:
| 22.0ms | y |
| 22.0ms | x |
| 22.0ms | t |
| 21.0ms | z |
| 18.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 1 | x |
| 0.5b | 1 | y |
| 0.5b | 1 | z |
| 0.5b | 1 | t |
| 0.5b | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
| 0.5b | 1 | (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t) |
| 0.5b | 1 | (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) |
| 0.5b | 1 | (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))) |
| 0.5b | 1 | (exp.f64 z) |
Compiled 604 to 272 computations (55% saved)
| Inputs |
|---|
x |
(neg.f64 (*.f64 (/.f64 y t) z)) |
(neg.f64 (/.f64 y (/.f64 t z))) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
(-.f64 x (*.f64 y (/.f64 z t))) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 (*.f64 y z) t)) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))) |
(-.f64 x (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) 1/2)) (*.f64 y z))) t)) |
(-.f64 x (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) (*.f64 y (/.f64 z t)))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z)))))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z)))))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (*.f64 y (/.f64 1 (/.f64 (/.f64 t z) (*.f64 y z))))))) |
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) |
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t) |
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) |
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z y)))) |
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 z y))))) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) t) |
| Outputs |
|---|
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) |
5 calls:
| 31.0ms | z |
| 26.0ms | y |
| 15.0ms | x |
| 14.0ms | t |
| 6.0ms | (exp.f64 z) |
| Error | Segments | Branch |
|---|---|---|
| 7.1b | 1 | x |
| 6.1b | 2 | y |
| 4.5b | 2 | z |
| 7.1b | 1 | t |
| 4.6b | 2 | (exp.f64 z) |
Compiled 332 to 147 computations (55.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | -4.7467072312071034e+24 | -3.3910421492014976e+21 |
| 18.0ms | 103× | body | 256 | valid |
| 6.0ms | 16× | body | 512 | valid |
| 4.0ms | 7× | body | 1024 | valid |
| 3.0ms | 19× | body | 256 | invalid |
| 2.0ms | 2× | body | 2048 | valid |
Compiled 280 to 202 computations (27.9% saved)
| Inputs |
|---|
x |
(neg.f64 (*.f64 (/.f64 y t) z)) |
(neg.f64 (/.f64 y (/.f64 t z))) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
(-.f64 x (*.f64 y (/.f64 z t))) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 (*.f64 y z) t)) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))) |
(-.f64 x (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) 1/2)) (*.f64 y z))) t)) |
(-.f64 x (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) (*.f64 y (/.f64 z t)))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z)))))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z)))))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (*.f64 y (/.f64 1 (/.f64 (/.f64 t z) (*.f64 y z))))))) |
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) |
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t) |
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) |
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
(/.f64 (*.f64 y (-.f64 1 (exp.f64 z))) t) |
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 z y)))) |
(-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 z y))))) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
| Outputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) |
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) |
5 calls:
| 37.0ms | t |
| 36.0ms | y |
| 35.0ms | x |
| 33.0ms | z |
| 5.0ms | (exp.f64 z) |
| Error | Segments | Branch |
|---|---|---|
| 8.7b | 3 | x |
| 5.6b | 3 | y |
| 6.2b | 2 | z |
| 9.6b | 3 | t |
| 6.5b | 2 | (exp.f64 z) |
Compiled 310 to 137 computations (55.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 1.3765216323449442e-12 | 0.005872576580520569 |
| 32.0ms | -148591.9207583028 | -0.001729842282760989 |
| 35.0ms | 232× | body | 256 | valid |
| 13.0ms | 23× | body | 1024 | valid |
| 8.0ms | 27× | body | 512 | valid |
| 7.0ms | 6× | body | 2048 | valid |
| 0.0ms | 2× | body | 256 | invalid |
Compiled 492 to 342 computations (30.5% saved)
| Inputs |
|---|
x |
(neg.f64 (*.f64 (/.f64 y t) z)) |
(neg.f64 (/.f64 y (/.f64 t z))) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
(-.f64 x (*.f64 y (/.f64 z t))) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 (*.f64 y z) t)) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))) |
(-.f64 x (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) 1/2)) (*.f64 y z))) t)) |
(-.f64 x (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) (*.f64 y (/.f64 z t)))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z)))))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z)))))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (*.f64 y (/.f64 1 (/.f64 (/.f64 t z) (*.f64 y z))))))) |
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) |
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t) |
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(-.f64 x (/.f64 (expm1.f64 z) (/.f64 t y))) |
| Outputs |
|---|
x |
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) |
x |
4 calls:
| 32.0ms | x |
| 19.0ms | y |
| 14.0ms | z |
| 11.0ms | t |
| Error | Segments | Branch |
|---|---|---|
| 8.7b | 3 | x |
| 9.8b | 2 | y |
| 10.9b | 1 | z |
| 10.9b | 1 | t |
Compiled 250 to 108 computations (56.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 6.560798691985607e+46 | 2.0901395984791986e+48 |
| 33.0ms | -5.889792629310494e+134 | -2.122391395252243e+131 |
| 27.0ms | 162× | body | 256 | valid |
| 21.0ms | 39× | body | 1024 | valid |
| 11.0ms | 38× | body | 512 | valid |
| 1.0ms | 1× | body | 2048 | valid |
Compiled 309 to 228 computations (26.2% saved)
| Inputs |
|---|
x |
(neg.f64 (*.f64 (/.f64 y t) z)) |
(neg.f64 (/.f64 y (/.f64 t z))) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
(-.f64 x (*.f64 y (/.f64 z t))) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 (*.f64 y z) t)) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))) |
(-.f64 x (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) 1/2)) (*.f64 y z))) t)) |
(-.f64 x (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 z z)) t) -1/2) (*.f64 y (/.f64 z t)))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (*.f64 z (/.f64 y (/.f64 (/.f64 t y) z)))))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z)))))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 -1/2 (*.f64 y (/.f64 1 (/.f64 (/.f64 t z) (*.f64 y z))))))) |
(*.f64 (/.f64 (expm1.f64 z) t) (neg.f64 y)) |
(/.f64 (neg.f64 (expm1.f64 z)) (/.f64 t y)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t) |
| Outputs |
|---|
x |
(-.f64 x (*.f64 y (/.f64 z t))) |
4 calls:
| 41.0ms | y |
| 28.0ms | t |
| 26.0ms | x |
| 18.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 14.1b | 3 | x |
| 14.9b | 4 | y |
| 12.2b | 2 | z |
| 13.7b | 3 | t |
Compiled 234 to 104 computations (55.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | -6.8767721615566604e-31 | -1.8942583957564388e-31 |
| 11.0ms | 62× | body | 256 | valid |
| 4.0ms | 8× | body | 1024 | valid |
| 3.0ms | 9× | body | 512 | valid |
| 2.0ms | 16× | body | 256 | invalid |
| 1.0ms | 1× | body | 2048 | valid |
Compiled 114 to 83 computations (27.2% saved)
| Inputs |
|---|
x |
(neg.f64 (*.f64 (/.f64 y t) z)) |
(neg.f64 (/.f64 y (/.f64 t z))) |
(/.f64 (neg.f64 (*.f64 y z)) t) |
| Outputs |
|---|
x |
(neg.f64 (/.f64 y (/.f64 t z))) |
x |
4 calls:
| 13.0ms | t |
| 10.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 17.3b | 3 | x |
| 18.9b | 1 | y |
| 18.9b | 1 | z |
| 16.7b | 3 | t |
Compiled 43 to 29 computations (32.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 62.0ms | 3.4527682069788625e-253 | 1.3174637261660115e-250 |
| 43.0ms | -8.98579379454708e-229 | -1.4192431833559237e-229 |
| 43.0ms | 75× | body | 1024 | valid |
| 29.0ms | 26× | body | 2048 | valid |
| 17.0ms | 50× | body | 512 | valid |
| 13.0ms | 73× | body | 256 | valid |
Compiled 262 to 200 computations (23.7% saved)
Total -44.6b remaining (-254.4%)
Threshold costs -44.6b (-254.4%)
| Inputs |
|---|
x |
(neg.f64 (*.f64 (/.f64 y t) z)) |
| Outputs |
|---|
x |
(neg.f64 (*.f64 (/.f64 y t) z)) |
x |
4 calls:
| 9.0ms | x |
| 5.0ms | z |
| 3.0ms | t |
| 3.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 17.5b | 3 | x |
| 18.9b | 1 | y |
| 18.9b | 1 | z |
| 18.9b | 1 | t |
Compiled 31 to 23 computations (25.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 80.0ms | 2.327420679073563e-289 | 5.0247571256564946e-287 |
| 96.0ms | -2.9790837780644882e-176 | -2.9917723764647598e-182 |
| 87.0ms | 87× | body | 1024 | valid |
| 56.0ms | 23× | body | 2048 | valid |
| 16.0ms | 50× | body | 512 | valid |
| 14.0ms | 96× | body | 256 | valid |
Compiled 296 to 226 computations (23.6% saved)
| 1× | egg-herbie |
| 50× | *-commutative |
| 46× | +-commutative |
| 34× | sub-neg |
| 30× | neg-mul-1 |
| 30× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 318 |
| 1 | 118 | 318 |
| 2 | 165 | 318 |
| 3 | 194 | 318 |
| 4 | 211 | 318 |
| 5 | 215 | 318 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(if (<=.f64 z -3400000000000000000000) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(if (<=.f64 y -1600) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) (if (<=.f64 y 208967022709991/36028797018963968) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))) |
(if (<=.f64 x -290000000000000011525296777386782719889571002546621594304092883057684854444409520026762288595092875516320505179560325680633020562800640) x (if (<=.f64 x 1299999999999999975869957543992374865235256803328) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) |
(if (<=.f64 z -3882113724160211/5708990770823839524233143877797980545530986496) x (-.f64 x (*.f64 y (/.f64 z t)))) |
(if (<=.f64 t -3987579319093079/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096) x (if (<=.f64 t 5932995222714991/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (neg.f64 (/.f64 y (/.f64 t z))) x)) |
(if (<=.f64 x -2737464370573317/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) x (if (<=.f64 x 8572068857490139/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (neg.f64 (*.f64 (/.f64 y t) z)) x)) |
x |
| Outputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(if (<=.f64 z -3400000000000000000000) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t))) |
(if (<=.f64 z -3400000000000000000000) (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 t 1/2)))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))) |
(if (<=.f64 y -1600) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)) (if (<=.f64 y 208967022709991/36028797018963968) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) (-.f64 x (/.f64 (log1p.f64 (*.f64 z y)) t)))) |
(if (or (<=.f64 y -1600) (not (<=.f64 y 208967022709991/36028797018963968))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))) |
(if (<=.f64 x -290000000000000011525296777386782719889571002546621594304092883057684854444409520026762288595092875516320505179560325680633020562800640) x (if (<=.f64 x 1299999999999999975869957543992374865235256803328) (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) |
(if (<=.f64 x -290000000000000011525296777386782719889571002546621594304092883057684854444409520026762288595092875516320505179560325680633020562800640) x (if (<=.f64 x 1299999999999999975869957543992374865235256803328) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) x)) |
(if (<=.f64 z -3882113724160211/5708990770823839524233143877797980545530986496) x (-.f64 x (*.f64 y (/.f64 z t)))) |
(if (<=.f64 t -3987579319093079/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096) x (if (<=.f64 t 5932995222714991/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (neg.f64 (/.f64 y (/.f64 t z))) x)) |
(if (<=.f64 t -3987579319093079/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096) x (if (<=.f64 t 5932995222714991/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (/.f64 (neg.f64 y) (/.f64 t z)) x)) |
(if (<=.f64 x -2737464370573317/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) x (if (<=.f64 x 8572068857490139/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (neg.f64 (*.f64 (/.f64 y t) z)) x)) |
(if (<=.f64 x -2737464370573317/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) x (if (<=.f64 x 8572068857490139/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (*.f64 (/.f64 y t) (neg.f64 z)) x)) |
(if (<=.f64 x -2737464370573317/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) x (if (<=.f64 x 8572068857490139/171441377149802771351748007849600289689824769872885377191000062139256168179989779598911740610511337300415147666808503492029943245710770246975753241195177196862953084397187695766737193680997938270047266914448743599737311060278380280946648703137233006633139143642984674682566877306441990189395290689110016) (*.f64 z (/.f64 (neg.f64 y) t)) x)) |
x |
Compiled 155 to 102 computations (34.2% saved)
| 1× | egg-herbie |
| 924× | fma-def |
| 920× | *-commutative |
| 798× | associate--r+ |
| 782× | associate-/l* |
| 728× | associate-+l- |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 39 |
| 1 | 25 | 35 |
| 2 | 51 | 33 |
| 3 | 98 | 33 |
| 4 | 205 | 27 |
| 5 | 506 | 27 |
| 6 | 1005 | 27 |
| 7 | 1240 | 27 |
| 8 | 1353 | 27 |
| 9 | 1632 | 27 |
| 10 | 2449 | 27 |
| 11 | 4905 | 27 |
| 12 | 5557 | 27 |
| 13 | 6096 | 27 |
| 14 | 6879 | 27 |
| 15 | 7662 | 27 |
| 1× | node limit |
Compiled 252 to 122 computations (51.6% saved)
Compiled 127 to 62 computations (51.2% saved)
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