Time bar (total: 15.3s)
| 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)
| 1.9s | 1599× | body | 8192 | exit |
| 1.8s | 1892× | body | 1024 | valid |
| 1.3s | 4661× | body | 256 | valid |
| 652.0ms | 1400× | body | 512 | valid |
| 335.0ms | 303× | body | 2048 | valid |
| 277.0ms | 2060× | body | 256 | invalid |
| 178.0ms | 221× | body | 1024 | invalid |
| 66.0ms | 240× | body | 512 | invalid |
| 3.0ms | 22× | body | 256 | infinite |
| 1.0ms | 2× | body | 1024 | 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 |
|---|---|---|
| ▶ | 1.3b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
Compiled 13 to 9 computations (30.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 y (expm1.f64 z)) |
| ✓ | 0.5b | (log1p.f64 (*.f64 y (expm1.f64 z))) |
| ✓ | 2.7b | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
Compiled 35 to 9 computations (74.3% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | t | @ | -inf | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
| 24.0ms | z | @ | inf | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
| 21.0ms | z | @ | -inf | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
| 15.0ms | t | @ | 0 | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
| 6.0ms | t | @ | inf | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
| 1× | batch-egg-rewrite |
| 1956× | add-sqr-sqrt |
| 1944× | *-un-lft-identity |
| 1796× | add-cube-cbrt |
| 1768× | add-cbrt-cube |
| 200× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 47 |
| 1 | 197 | 47 |
| 2 | 2426 | 47 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(log1p.f64 (*.f64 y (expm1.f64 z))) |
(*.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 (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)))) (/.f64 1 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)))) (/.f64 1 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 (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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (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 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(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 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 expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(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 exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (expm1.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 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 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (expm1.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z)))))))) |
| 1× | egg-herbie |
| 1790× | associate-/r* |
| 1506× | associate-*r/ |
| 1190× | associate-*l/ |
| 1096× | associate-+l+ |
| 858× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 296 | 4585 |
| 1 | 813 | 4321 |
| 2 | 3527 | 4321 |
| 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) |
(+.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 (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 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1) |
(*.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 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 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)))) (/.f64 1 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 (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 (neg.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 (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 (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 (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))) |
(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))) |
(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 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)) |
(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 (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 (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))))) |
(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) |
(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))))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)) |
(-.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1) 1) |
(pow.f64 (*.f64 y (expm1.f64 z)) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 3) |
(pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (expm1.f64 z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (expm1.f64 z))))) |
(cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(exp.f64 (log.f64 (*.f64 y (expm1.f64 z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (expm1.f64 z))) 1)) |
(log1p.f64 (expm1.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 (expm1.f64 z) 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))))) |
(fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2) t) (/.f64 (expm1.f64 z) (/.f64 t y))) |
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(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (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 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2))) |
(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) |
(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 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)) |
(/.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 (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 (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 (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 (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)) |
(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)) |
(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)) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(-.f64 (+.f64 (*.f64 y (expm1.f64 z)) 1) 1) |
(*.f64 (expm1.f64 z) y) |
(pow.f64 (*.f64 y (expm1.f64 z)) 1) |
(*.f64 (expm1.f64 z) y) |
(pow.f64 (sqrt.f64 (*.f64 y (expm1.f64 z))) 2) |
(*.f64 (expm1.f64 z) y) |
(pow.f64 (cbrt.f64 (*.f64 y (expm1.f64 z))) 3) |
(*.f64 (expm1.f64 z) y) |
(pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) 1/3) |
(*.f64 (expm1.f64 z) y) |
(sqrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) y) 2)) |
(fabs.f64 (*.f64 (expm1.f64 z) y)) |
(log.f64 (pow.f64 (exp.f64 y) (expm1.f64 z))) |
(*.f64 (expm1.f64 z) y) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (expm1.f64 z) y) |
(cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3)) |
(*.f64 (expm1.f64 z) y) |
(expm1.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (expm1.f64 z) y) |
(exp.f64 (log.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (expm1.f64 z) y) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (expm1.f64 z))) 1)) |
(*.f64 (expm1.f64 z) y) |
(log1p.f64 (expm1.f64 (*.f64 y (expm1.f64 z)))) |
(*.f64 (expm1.f64 z) y) |
Compiled 4796 to 2362 computations (50.8% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 184 | 16 | 200 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 184 | 17 | 201 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.3b | (-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) |
| 26.1b | (-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) | |
| ▶ | 1.7b | (-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)) |
| 26.8b | (-.f64 x (/.f64 (fma.f64 z y (*.f64 1/2 (*.f64 z (*.f64 z (-.f64 y (*.f64 y y)))))) t)) | |
| 54.7b | (-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)) | |
| 18.0b | (-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) | |
| 11.9b | (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) | |
| 18.7b | (-.f64 x (/.f64 (*.f64 z y) t)) | |
| ✓ | 1.3b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| 20.0b | (-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) | |
| 5.8b | (-.f64 x (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t)) | |
| 19.9b | (-.f64 x (/.f64 z (/.f64 t y))) | |
| 18.1b | (-.f64 x (/.f64 y (/.f64 t z))) | |
| ▶ | 11.2b | (-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) |
| ▶ | 20.1b | (-.f64 x (*.f64 (/.f64 y t) z)) |
| 35.0b | (-.f64 x (*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))) | |
| ▶ | 1.6b | (-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
Compiled 477 to 331 computations (30.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 y (expm1.f64 z)) | |
| 0.5b | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| ✓ | 0.6b | (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) |
| ✓ | 2.3b | (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
Compiled 47 to 14 computations (70.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | z | @ | 0 | (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) |
| 7.0ms | 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 | y | @ | inf | (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (/.f64 (sqrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) (/.f64 (cbrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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(/.f64 (cbrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (pow.f64 (cbrt.f64 t) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t 1) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 1 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y 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#<rule egg-rr> (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 |
| 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))))) |
(/.f64 t (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 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 -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)))))) |
(+.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 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3)))) (+.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))))) (*.f64 (-.f64 (exp.f64 z) 1) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) (*.f64 1/3 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2)))))) (pow.f64 y 3))) (+.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 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) |
(+.f64 (/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y))))) |
(+.f64 (/.f64 t (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))))) (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (*.f64 (-.f64 (exp.f64 z) 1) y)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 3)))) (*.f64 -1/2 (/.f64 t (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2))))) (pow.f64 y 2))))) |
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(/.f64 t (*.f64 y z)) |
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(/.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))))) |
(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 (expm1.f64 z) (*.f64 y (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)))))) |
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(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)) (fma.f64 -1 (/.f64 (fma.f64 1/2 (/.f64 (/.f64 t (pow.f64 (expm1.f64 z) 3)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3)) (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 (expm1.f64 z) (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))) (*.f64 1/3 (/.f64 t (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 (expm1.f64 z) 3)))))) (pow.f64 y 3)) (+.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 |
|---|---|---|
| ✓ | 6.9b | (*.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 | y | @ | inf | (*.f64 (/.f64 y t) z) |
| 0.0ms | z | @ | 0 | (*.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 |
|---|---|---|
| ✓ | 0.0b | (/.f64 (expm1.f64 z) t) |
| ✓ | 2.5b | (*.f64 (/.f64 (expm1.f64 z) t) y) |
Compiled 28 to 8 computations (71.4% saved)
15 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 | t | @ | -inf | (*.f64 (/.f64 (expm1.f64 z) t) y) |
| 0.0ms | z | @ | -inf | (*.f64 (/.f64 (expm1.f64 z) t) y) |
| 1× | batch-egg-rewrite |
| 1876× | add-sqr-sqrt |
| 1864× | *-un-lft-identity |
| 1726× | add-cube-cbrt |
| 1698× | add-cbrt-cube |
| 186× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 180 | 28 |
| 2 | 2301 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(/.f64 (expm1.f64 z) t) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 z) (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 z) y) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 (expm1.f64 z))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 z) y) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 z) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 z) t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 z) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 z)) (*.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 z) t)) (sqrt.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (*.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 2) (cbrt.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (expm1.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 z)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) 1) (/.f64 (sqrt.f64 (expm1.f64 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (expm1.f64 z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (expm1.f64 z)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 z) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 z) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (expm1.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 z) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) t))))))) |
| 1× | egg-herbie |
| 1402× | associate-*r/ |
| 1350× | times-frac |
| 976× | associate-*l/ |
| 924× | associate-/l* |
| 724× | unswap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 1954 |
| 1 | 404 | 1926 |
| 2 | 1595 | 1926 |
| 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 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) 1) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(/.f64 y (/.f64 t (expm1.f64 z))) |
(/.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y))) |
(/.f64 (*.f64 (expm1.f64 z) y) t) |
(/.f64 (*.f64 y (neg.f64 (expm1.f64 z))) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) (neg.f64 t)) |
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) 1) t) |
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)) (sqrt.f64 t)) |
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 3) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 2)) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 z) t))) 1) |
(-.f64 (/.f64 (exp.f64 z) t) (/.f64 1 t)) |
(*.f64 (expm1.f64 z) (/.f64 1 t)) |
(*.f64 (/.f64 (expm1.f64 z) t) 1) |
(*.f64 1 (/.f64 (expm1.f64 z) t)) |
(*.f64 (sqrt.f64 (expm1.f64 z)) (*.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 t))) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 z) t)) (sqrt.f64 (/.f64 (expm1.f64 z) t))) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (*.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 1 t))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 2) (cbrt.f64 (/.f64 (expm1.f64 z) t))) |
(*.f64 (/.f64 1 t) (expm1.f64 z)) |
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 1 (neg.f64 t))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) 1) (/.f64 (sqrt.f64 (expm1.f64 z)) t)) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (expm1.f64 z)) (cbrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 z)) t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (expm1.f64 z)) (sqrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (expm1.f64 z) t))) |
(pow.f64 (/.f64 (expm1.f64 z) t) 1) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 z) t)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 3) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3) 1/3) |
(pow.f64 (/.f64 t (expm1.f64 z)) -1) |
(neg.f64 (/.f64 (expm1.f64 z) (neg.f64 t))) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 2)) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 z) t))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) t)))) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) t))) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 z) t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) t)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) t))) |
| Outputs |
|---|
(/.f64 (*.f64 y z) t) |
(/.f64 y (/.f64 t z)) |
(*.f64 (/.f64 y t) z) |
(*.f64 y (/.f64 z t)) |
(+.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))) |
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z)) |
(fma.f64 1/2 (*.f64 y (*.f64 (/.f64 z t) z)) (*.f64 y (/.f64 z 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 1/6 (/.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)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))) |
(fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (fma.f64 1/2 (*.f64 y (*.f64 (/.f64 z t) z)) (*.f64 y (/.f64 z 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))))) |
(fma.f64 1/24 (/.f64 (*.f64 y (pow.f64 z 4)) 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 1/24 (*.f64 (/.f64 y t) (pow.f64 z 4)) (fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z)))) |
(fma.f64 1/24 (*.f64 (pow.f64 z 4) (/.f64 y t)) (fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (fma.f64 1/2 (*.f64 y (*.f64 (/.f64 z t) z)) (*.f64 y (/.f64 z t))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 z t) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 z 2) t)) (/.f64 z t)) |
(fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 z t)) |
(fma.f64 1/2 (/.f64 z (/.f64 t z)) (/.f64 z t)) |
(fma.f64 1/2 (*.f64 (/.f64 z t) z) (/.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 (fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 z t)) (*.f64 1/6 (/.f64 (pow.f64 z 3) t))) |
(fma.f64 1/2 (/.f64 z (/.f64 t z)) (fma.f64 1/6 (/.f64 (pow.f64 z 3) t) (/.f64 z t))) |
(fma.f64 1/2 (*.f64 (/.f64 z t) z) (fma.f64 1/6 (/.f64 (pow.f64 z 3) t) (/.f64 z 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 (fma.f64 1/2 (/.f64 (*.f64 z z) t) (/.f64 z t)) (fma.f64 1/24 (/.f64 (pow.f64 z 4) t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))) |
(+.f64 (fma.f64 1/2 (/.f64 z (/.f64 t z)) (/.f64 z t)) (fma.f64 1/24 (/.f64 (pow.f64 z 4) t) (*.f64 1/6 (/.f64 (pow.f64 z 3) t)))) |
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 z t) z) (/.f64 z t)) (fma.f64 1/24 (/.f64 (pow.f64 z 4) t) (*.f64 (/.f64 1/6 t) (pow.f64 z 3)))) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(/.f64 (-.f64 (exp.f64 z) 1) t) |
(/.f64 (expm1.f64 z) t) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) 1) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 y (/.f64 t (expm1.f64 z))) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 1 (/.f64 t (*.f64 (expm1.f64 z) y))) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (expm1.f64 z) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 y (neg.f64 (expm1.f64 z))) (neg.f64 t)) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) (neg.f64 t)) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) 1) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t)) (sqrt.f64 t)) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 1) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 2) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 3) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 3) 1/3) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 2)) |
(fabs.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) (/.f64 t y))))) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) (/.f64 t y)) 3)) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 t y))) 1)) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) (/.f64 t y)))) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 z) t))) 1) |
(/.f64 (expm1.f64 z) t) |
(-.f64 (/.f64 (exp.f64 z) t) (/.f64 1 t)) |
(/.f64 (expm1.f64 z) t) |
(*.f64 (expm1.f64 z) (/.f64 1 t)) |
(/.f64 (expm1.f64 z) t) |
(*.f64 (/.f64 (expm1.f64 z) t) 1) |
(/.f64 (expm1.f64 z) t) |
(*.f64 1 (/.f64 (expm1.f64 z) t)) |
(/.f64 (expm1.f64 z) t) |
(*.f64 (sqrt.f64 (expm1.f64 z)) (*.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 t))) |
(/.f64 (expm1.f64 z) t) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 z) t)) (sqrt.f64 (/.f64 (expm1.f64 z) t))) |
(/.f64 (expm1.f64 z) t) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (*.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 1 t))) |
(/.f64 (expm1.f64 z) t) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 2)) |
(/.f64 (expm1.f64 z) t) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 2) (cbrt.f64 (/.f64 (expm1.f64 z) t))) |
(/.f64 (expm1.f64 z) t) |
(*.f64 (/.f64 1 t) (expm1.f64 z)) |
(/.f64 (expm1.f64 z) t) |
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 1 (neg.f64 t))) |
(/.f64 (expm1.f64 z) t) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t))) |
(/.f64 (expm1.f64 z) t) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t))) |
(/.f64 (expm1.f64 z) t) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) 1) (/.f64 (sqrt.f64 (expm1.f64 z)) t)) |
(/.f64 (expm1.f64 z) t) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 z)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (expm1.f64 z)) (cbrt.f64 t))) |
(/.f64 (expm1.f64 z) t) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 z)) t)) |
(/.f64 (expm1.f64 z) t) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (expm1.f64 z)) (sqrt.f64 t))) |
(/.f64 (expm1.f64 z) t) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (expm1.f64 z) t))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2) (pow.f64 (cbrt.f64 t) 2))) |
(pow.f64 (/.f64 (expm1.f64 z) t) 1) |
(/.f64 (expm1.f64 z) t) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 z) t)) 2) |
(/.f64 (expm1.f64 z) t) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 z) t)) 3) |
(/.f64 (expm1.f64 z) t) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3) 1/3) |
(/.f64 (expm1.f64 z) t) |
(pow.f64 (/.f64 t (expm1.f64 z)) -1) |
(/.f64 (expm1.f64 z) t) |
(neg.f64 (/.f64 (expm1.f64 z) (neg.f64 t))) |
(/.f64 (expm1.f64 z) t) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 2)) |
(fabs.f64 (/.f64 (expm1.f64 z) t)) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 z) t))) |
(/.f64 (expm1.f64 z) t) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) t)))) |
(/.f64 (expm1.f64 z) t) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3)) |
(/.f64 (expm1.f64 z) t) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) t))) |
(/.f64 (expm1.f64 z) t) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 z) t))) |
(/.f64 (expm1.f64 z) t) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) t)) 1)) |
(/.f64 (expm1.f64 z) t) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) t))) |
(/.f64 (expm1.f64 z) t) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 y (expm1.f64 z)) | |
| 0.5b | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| ✓ | 3.0b | (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
Compiled 43 to 17 computations (60.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 0.0ms | t | @ | 0 | (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 1× | batch-egg-rewrite |
| 982× | *-commutative |
| 792× | unswap-sqr |
| 608× | swap-sqr |
| 520× | associate-*r/ |
| 418× | sqr-pow |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 21 |
| 1 | 231 | 21 |
| 2 | 2688 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 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 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 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 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (/.f64 t (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 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (/.f64 t (cbrt.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 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (/.f64 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (/.f64 (/.f64 t (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 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (/.f64 (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2)))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) 1) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) -1) (cbrt.f64 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (pow.f64 t -2))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) 1) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) (sqrt.f64 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) (pow.f64 (cbrt.f64 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (neg.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (neg.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 (sqrt.f64 t))) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) 1) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (cbrt.f64 t)) (cbrt.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 (sqrt.f64 t))) (sqrt.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) 1) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (sqrt.f64 (cbrt.f64 t))) (sqrt.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t)))) (cbrt.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 (sqrt.f64 t))) (cbrt.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (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 log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) |
| 1× | egg-herbie |
| 1596× | associate-*r/ |
| 1168× | associate-/l/ |
| 1138× | associate-*l/ |
| 908× | associate-/r/ |
| 840× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 289 | 4236 |
| 1 | 755 | 4122 |
| 2 | 2819 | 4122 |
| 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 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1) |
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1) |
(/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 t (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) |
(/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 -1 (/.f64 (neg.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.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)) (/.f64 (/.f64 t (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (/.f64 (/.f64 t (cbrt.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 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))) (/.f64 (/.f64 t (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t)) |
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t)) |
(/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 t)) |
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (*.f64 1 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2)))) (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 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 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)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 t))) |
(/.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) -1) (cbrt.f64 (neg.f64 t))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 (pow.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) (sqrt.f64 t)) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 t)) |
(/.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) 1) (cbrt.f64 t)) |
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) (sqrt.f64 t)) |
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) (sqrt.f64 (neg.f64 t))) |
(/.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 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 t)) |
(/.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)))) (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)))) (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 (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)))) -1) 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))) (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))) (cbrt.f64 (pow.f64 t -2))) 1) (cbrt.f64 t)) |
(/.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (sqrt.f64 (cbrt.f64 t))) (sqrt.f64 (cbrt.f64 t))) |
(/.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.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))) (cbrt.f64 (pow.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))) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 (sqrt.f64 t))) (cbrt.f64 (sqrt.f64 t))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 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))) |
(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 (*.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 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y))) (/.f64 (expm1.f64 z) (/.f64 t y))) |
(fma.f64 -1/2 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (/.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)))) |
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(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 (cbrt.f64 (pow.f64 t -2)) (cbrt.f64 t))) |
(/.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (sqrt.f64 (cbrt.f64 t))) (sqrt.f64 (cbrt.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 (cbrt.f64 t) (cbrt.f64 (pow.f64 t -2)))) |
(*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)) (cbrt.f64 (pow.f64 t -2))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 (cbrt.f64 (pow.f64 t -2)) (cbrt.f64 t))) |
(/.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t)))) (cbrt.f64 (cbrt.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 (cbrt.f64 t) (cbrt.f64 (pow.f64 t -2)))) |
(*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)) (cbrt.f64 (pow.f64 t -2))) |
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 (cbrt.f64 (pow.f64 t -2)) (cbrt.f64 t))) |
(/.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.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)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (pow.f64 t -2)))) (cbrt.f64 (cbrt.f64 t))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 t -2)) (cbrt.f64 (cbrt.f64 t))) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)))) |
(/.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 (sqrt.f64 t))) (cbrt.f64 (sqrt.f64 t))) |
(/.f64 (*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 (pow.f64 t -2))) (*.f64 (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)) (cbrt.f64 (sqrt.f64 t)))) (cbrt.f64 (pow.f64 t -2))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)) |
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (+.f64 1 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (+.f64 1 (exp.f64 (log1p.f64 (/.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) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) |
| 2.7b | (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) | |
| ✓ | 16.5b | (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
Compiled 57 to 15 computations (73.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | y | @ | -inf | (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| 10.0ms | z | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) |
| 6.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) |
| 5.0ms | y | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) |
| 4.0ms | z | @ | 0 | (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| 1× | batch-egg-rewrite |
| 1014× | *-commutative |
| 844× | unswap-sqr |
| 722× | associate-*r/ |
| 644× | swap-sqr |
| 634× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 46 |
| 1 | 265 | 46 |
| 2 | 2979 | 46 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) |
| Outputs |
|---|
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(expm1.f64 z))) (sqrt.f64 t)) 1) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (cbrt.f64 t)) (cbrt.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 (sqrt.f64 t))) (sqrt.f64 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 -1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (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 log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) |
| 1× | egg-herbie |
| 1324× | associate-+r+ |
| 992× | associate-*r* |
| 796× | +-commutative |
| 788× | associate-*l* |
| 784× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 705 | 20714 |
| 1 | 1887 | 18634 |
| 2 | 7493 | 18634 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3) |
(+.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))) |
(+.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (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 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (pow.f64 y 2)))))) |
(+.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (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 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (pow.f64 y 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (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 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t))) (+.f64 (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 3)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/3))) (*.f64 -2/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (-.f64 (exp.f64 z) 1)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 5) (pow.f64 t 4))) 1/9))))) (pow.f64 y 3))))))) |
(pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) 1/3) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) 1/3)) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (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 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (pow.f64 y 2)))))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (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 2/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (-.f64 (exp.f64 z) 1)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 5) (pow.f64 t 4))) 1/9))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t))) (*.f64 -1/27 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 3)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (pow.f64 t 7))) 1/3))))) (pow.f64 y 3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) t) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (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 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (pow.f64 y 2))))))) |
(pow.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) 1/3) |
(pow.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) 1/3) |
(pow.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) 1/3) |
(pow.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) 1/3) |
(pow.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) 1/3) |
(pow.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) 1/3) |
(pow.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) 1/3) |
(pow.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) t) 1/3) |
(*.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) (pow.f64 1 1/3)) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4) 1) (pow.f64 t 13)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 4) 1) (pow.f64 t 13)) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (*.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) (pow.f64 1 1/3)))) |
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(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) 3) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 t)) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) 3) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (cbrt.f64 (neg.f64 t))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) 3) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (neg.f64 (cbrt.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 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (neg.f64 t))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (neg.f64 (cbrt.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))) 1) 1) t) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) 1) (sqrt.f64 t)) |
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1/6) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))) (sqrt.f64 (cbrt.f64 t))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (neg.f64 t))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 t)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (cbrt.f64 t)) |
(/.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)))) (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)))) (sqrt.f64 t))) (sqrt.f64 t)) |
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.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 (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)))) -1) 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))) (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)) (*.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 (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))) 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 (sqrt.f64 t))) (sqrt.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))) |
(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))) |
| Outputs |
|---|
(pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3) |
(cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)) |
(cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) |
(+.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))))) |
(+.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 t 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 t 7))) 1/18))) (/.f64 1 (*.f64 (expm1.f64 z) y))) (cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t))) |
(fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18)) (*.f64 (expm1.f64 z) y)) (cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))) |
(+.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (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 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (pow.f64 y 2)))))) |
(+.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 t 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 t 7))) 1/18)) (/.f64 1 (*.f64 (expm1.f64 z) y))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (*.f64 t t) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))) (/.f64 (fma.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) (pow.f64 t 17))) 1/18) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) (pow.f64 t 17))) 1/18))) (/.f64 1/2 (*.f64 t (pow.f64 (expm1.f64 z) 2)))) (*.f64 y y))))) (cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t))) |
(+.f64 (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 7)) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) 1/18)) (*.f64 (expm1.f64 z) y)) (cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 t (/.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2) t))) (/.f64 (fma.f64 (/.f64 1/3 (pow.f64 (expm1.f64 z) 2)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 17)) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 t 17)) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) 1/18)) (/.f64 1/2 (*.f64 t (pow.f64 (expm1.f64 z) 2)))) (*.f64 y y))))) |
(+.f64 (pow.f64 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/9) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (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 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (pow.f64 y 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 t 2)) (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 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t))) (+.f64 (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 3)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 t 7))) 1/3))) (*.f64 -2/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (pow.f64 t 17))) 1/9))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (-.f64 (exp.f64 z) 1)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 5) (pow.f64 t 4))) 1/9))))) (pow.f64 y 3))))))) |
(+.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 t 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 t 7))) 1/18)) (/.f64 1 (*.f64 (expm1.f64 z) y))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (*.f64 t t) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))) (/.f64 (fma.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) (pow.f64 t 17))) 1/18) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) (pow.f64 t 17))) 1/18))) (/.f64 1/2 (*.f64 t (pow.f64 (expm1.f64 z) 2)))) (*.f64 y y))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 (*.f64 t t) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))) (/.f64 (-.f64 (/.f64 1/3 (*.f64 t (pow.f64 (expm1.f64 z) 3))) (fma.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 3)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 t 7))))) (*.f64 -2/3 (/.f64 (*.f64 (fma.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (expm1.f64 z) 2)) (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) (pow.f64 t 17))) 1/18) (pow.f64 (/.f64 1 (*.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) (pow.f64 t 17))) 1/18))) (/.f64 1/2 (*.f64 t (pow.f64 (expm1.f64 z) 2)))) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 5) (pow.f64 t 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 5) (pow.f64 t 4))) 1/18))) (expm1.f64 z))))) (pow.f64 y 3)))))) (cbrt.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t))) |
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(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (/.f64 (neg.f64 (cbrt.f64 t)) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(*.f64 (*.f64 1 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)) |
(/.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 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2))) |
(*.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 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 t)) |
(/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 (sqrt.f64 t) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (neg.f64 t))) |
(/.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)))))) |
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (cbrt.f64 (neg.f64 t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (neg.f64 (cbrt.f64 t))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2) (/.f64 (neg.f64 (cbrt.f64 t)) (neg.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))) |
(*.f64 (*.f64 1 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)) |
(/.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)) t) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 1) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) 1) (sqrt.f64 t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1/6) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))) (sqrt.f64 (cbrt.f64 t))) |
(/.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (/.f64 (sqrt.f64 (cbrt.f64 t)) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1/6) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (cbrt.f64 t))) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) 1/6) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) 2))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (neg.f64 t))) |
(/.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 (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 t)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (cbrt.f64 t)) |
(/.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2))) |
(*.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 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) (pow.f64 (cbrt.f64 t) 2)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.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 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.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 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))) (cbrt.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 t) 1)) (/.f64 (sqrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1)) (/.f64 (cbrt.f64 t) (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (neg.f64 t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (neg.f64 (sqrt.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (neg.f64 (cbrt.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 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 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 (sqrt.f64 t))) (sqrt.f64 t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 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)) 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 (log1p.f64 (*.f64 (expm1.f64 z) y)) 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 (log1p.f64 (*.f64 (expm1.f64 z) y)) 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 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (*.f64 (cbrt.f64 (sqrt.f64 t)) (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 (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)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 2)) (pow.f64 (cbrt.f64 t) 2))) (cbrt.f64 (cbrt.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 2))) (pow.f64 (cbrt.f64 t) 2))) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) 1) t) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) 1) (sqrt.f64 t)) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
(/.f64 (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (cbrt.f64 t)) (cbrt.f64 (sqrt.f64 t))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (*.f64 (cbrt.f64 (sqrt.f64 t)) (cbrt.f64 t))) |
(/.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 (sqrt.f64 t))) (sqrt.f64 (sqrt.f64 t))) |
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 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 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 t)) (fabs.f64 (cbrt.f64 t))) (sqrt.f64 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) |
Compiled 50053 to 23786 computations (52.5% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1437 | 11 | 1448 |
| Fresh | 2 | 9 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 2 | 5 |
| Total | 1442 | 23 | 1465 |
| Status | Error | Program |
|---|---|---|
| 27.0b | (-.f64 x (fma.f64 1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 z z) t)) (*.f64 (/.f64 z t) y))) | |
| 9.3b | (-.f64 x (pow.f64 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)) -1)) | |
| 26.1b | (-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) | |
| ✓ | 1.7b | (-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)) |
| 26.8b | (-.f64 x (/.f64 (fma.f64 z y (*.f64 1/2 (*.f64 z (*.f64 z (-.f64 y (*.f64 y y)))))) t)) | |
| ▶ | 1.6b | (-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
| 54.7b | (-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) | |
| 18.0b | (-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) | |
| ▶ | 11.9b | (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
| 18.7b | (-.f64 x (/.f64 (*.f64 z y) t)) | |
| ✓ | 1.3b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| 20.0b | (-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) | |
| 5.8b | (-.f64 x (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t)) | |
| 19.9b | (-.f64 x (/.f64 z (/.f64 t y))) | |
| 18.1b | (-.f64 x (/.f64 y (/.f64 t z))) | |
| 18.7b | (-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) | |
| ▶ | 1.3b | (-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
| 22.2b | (-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)) | |
| 22.0b | (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))) | |
| ▶ | 18.3b | (-.f64 x (*.f64 (/.f64 z t) y)) |
| ✓ | 20.1b | (-.f64 x (*.f64 (/.f64 y t) z)) |
| ▶ | 19.0b | (-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y))) |
| 20.3b | (-.f64 x (*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3)) y)) |
Compiled 648 to 444 computations (31.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 y (expm1.f64 z)) | |
| 0.5b | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| ✓ | 0.6b | (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) |
| 2.3b | (/.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))))) |
(+.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (+.f64 (/.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)))))) |
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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 |
|---|---|---|
| ✓ | 4.8b | (*.f64 (/.f64 z t) y) |
Compiled 23 to 7 computations (69.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | inf | (*.f64 (/.f64 z t) y) |
| 0.0ms | t | @ | inf | (*.f64 (/.f64 z t) y) |
| 0.0ms | z | @ | -inf | (*.f64 (/.f64 z t) y) |
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 z t) y) |
| 0.0ms | t | @ | -inf | (*.f64 (/.f64 z t) y) |
| 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 z t) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) 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 z y) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z t) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 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 cbrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z t) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z t) y))))))) |
| 1× | egg-herbie |
| 1670× | distribute-rgt-in |
| 1658× | distribute-lft-in |
| 990× | associate-*r* |
| 922× | associate-*l* |
| 610× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 754 |
| 1 | 143 | 754 |
| 2 | 575 | 754 |
| 3 | 3915 | 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 z t) y)) 1) |
(/.f64 z (/.f64 t y)) |
(/.f64 y (/.f64 t z)) |
(/.f64 1 (/.f64 t (*.f64 z y))) |
(/.f64 (*.f64 z y) t) |
(/.f64 (*.f64 y (neg.f64 z)) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 t)) |
(/.f64 (/.f64 (*.f64 z y) 1) t) |
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t)) |
(/.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(/.f64 (neg.f64 (*.f64 z y)) (neg.f64 t)) |
(pow.f64 (*.f64 (/.f64 z t) y) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 z t))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z t) y))) |
(exp.f64 (log.f64 (*.f64 (/.f64 z t) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z t) y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z t) y))) |
| 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 (/.f64 z t) y)) 1) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(*.f64 y (/.f64 z t)) |
(/.f64 1 (/.f64 t (*.f64 z y))) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 z y) 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 z y) 1) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (neg.f64 (*.f64 z y)) (neg.f64 t)) |
(*.f64 y (/.f64 z t)) |
(pow.f64 (*.f64 (/.f64 z t) y) 1) |
(*.f64 y (/.f64 z t)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) 2) |
(*.f64 y (/.f64 z t)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 3) |
(*.f64 y (/.f64 z t)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) 1/3) |
(*.f64 y (/.f64 z t)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2)) |
(*.f64 y (/.f64 z t)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 z t))) |
(*.f64 y (/.f64 z t)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3)) |
(*.f64 y (/.f64 z t)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z t) y))) |
(*.f64 y (/.f64 z t)) |
(exp.f64 (log.f64 (*.f64 (/.f64 z t) y))) |
(*.f64 y (/.f64 z t)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z t) y)) 1)) |
(*.f64 y (/.f64 z t)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z t) y))) |
(*.f64 y (/.f64 z t)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.9b | (*.f64 (/.f64 1 t) (*.f64 z y)) |
Compiled 31 to 15 computations (51.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (*.f64 (/.f64 1 t) (*.f64 z y)) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 1 t) (*.f64 z y)) |
| 0.0ms | z | @ | -inf | (*.f64 (/.f64 1 t) (*.f64 z y)) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 1 t) (*.f64 z y)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 1 t) (*.f64 z y)) |
| 1× | batch-egg-rewrite |
| 1734× | add-sqr-sqrt |
| 1718× | *-un-lft-identity |
| 1594× | add-cube-cbrt |
| 1566× | add-cbrt-cube |
| 174× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 179 | 13 |
| 2 | 2185 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 t) (*.f64 z y)) |
| 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 1 (/.f64 t (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 z y)) (/.f64 t (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (/.f64 t (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z y) -1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 z y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z y)) (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 (exp.f64 (*.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 |
| 1158× | associate-*r* |
| 1128× | associate-*l* |
| 644× | associate-+l+ |
| 632× | associate-+r+ |
| 482× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 793 |
| 1 | 155 | 793 |
| 2 | 605 | 793 |
| 3 | 4563 | 793 |
| 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 1 (/.f64 t (*.f64 z y))) |
(/.f64 z (/.f64 t y)) |
(/.f64 y (/.f64 t z)) |
(/.f64 (*.f64 z y) t) |
(/.f64 (sqrt.f64 (*.f64 z y)) (/.f64 t (sqrt.f64 (*.f64 z y)))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (/.f64 t (cbrt.f64 (*.f64 z y)))) |
(/.f64 (*.f64 (*.f64 z y) -1) (neg.f64 t)) |
(/.f64 (*.f64 -1 (*.f64 z y)) (neg.f64 t)) |
(/.f64 (/.f64 (*.f64 z y) 1) t) |
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t)) |
(/.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(/.f64 (neg.f64 (*.f64 z y)) (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 (exp.f64 (*.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 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 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z t)))) 1) |
(*.f64 y (/.f64 z t)) |
(/.f64 1 (/.f64 t (*.f64 z y))) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(*.f64 y (/.f64 z t)) |
(/.f64 y (/.f64 t z)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 z y) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (sqrt.f64 (*.f64 z y)) (/.f64 t (sqrt.f64 (*.f64 z y)))) |
(*.f64 y (/.f64 z t)) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (/.f64 t (cbrt.f64 (*.f64 z y)))) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 (*.f64 z y) -1) (neg.f64 t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (*.f64 -1 (*.f64 z y)) (neg.f64 t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (/.f64 (*.f64 z y) 1) t) |
(*.f64 y (/.f64 z t)) |
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) (sqrt.f64 t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t)) |
(*.f64 y (/.f64 z t)) |
(/.f64 (neg.f64 (*.f64 z y)) (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 (exp.f64 (*.f64 y (/.f64 z t)))) |
(*.f64 y (/.f64 z t)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 z t))))) |
(*.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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (expm1.f64 z) y) |
| ✓ | 2.7b | (/.f64 (*.f64 (expm1.f64 z) y) t) |
Compiled 28 to 8 computations (71.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (/.f64 (*.f64 (expm1.f64 z) y) t) |
| 0.0ms | t | @ | inf | (/.f64 (*.f64 (expm1.f64 z) y) t) |
| 0.0ms | t | @ | -inf | (/.f64 (*.f64 (expm1.f64 z) y) t) |
| 0.0ms | z | @ | 0 | (/.f64 (*.f64 (expm1.f64 z) y) t) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 (expm1.f64 z) y) t) |
| 1× | batch-egg-rewrite |
| 1936× | add-sqr-sqrt |
| 1924× | *-un-lft-identity |
| 1786× | add-cube-cbrt |
| 1758× | add-cbrt-cube |
| 186× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 180 | 28 |
| 2 | 2359 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (expm1.f64 z) y) t) |
(*.f64 (expm1.f64 z) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 z) (/.f64 t y)) (/.f64 1 (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 z) (*.f64 y (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 z) (/.f64 1 (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (expm1.f64 z) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (expm1.f64 z) t) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) (sqrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 2) (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (*.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (*.f64 (expm1.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 z) (neg.f64 y)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.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 (*.f64 (expm1.f64 z) y) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) t) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) 1) (/.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t)) (/.f64 y (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (expm1.f64 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 1) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 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 (expm1.f64 z)) y))))) (#(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))))))) |
| 1× | egg-herbie |
| 1600× | associate-/l* |
| 754× | unswap-sqr |
| 676× | *-commutative |
| 656× | distribute-lft-in |
| 644× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 2236 |
| 1 | 435 | 2176 |
| 2 | 1885 | 2170 |
| 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 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 (exp.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))) 1) |
(-.f64 (/.f64 (exp.f64 z) (/.f64 t y)) (/.f64 1 (/.f64 t y))) |
(*.f64 (expm1.f64 z) (*.f64 y (/.f64 1 t))) |
(*.f64 (expm1.f64 z) (/.f64 1 (/.f64 t y))) |
(*.f64 y (*.f64 (expm1.f64 z) (/.f64 1 t))) |
(*.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 t)) |
(*.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 1) |
(*.f64 1 (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) (sqrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 2) (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (*.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 t))) |
(*.f64 (/.f64 1 t) (*.f64 (expm1.f64 z) y)) |
(*.f64 (*.f64 (expm1.f64 z) (neg.f64 y)) (/.f64 1 (neg.f64 t))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (*.f64 (expm1.f64 z) y) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (*.f64 (expm1.f64 z) y) (cbrt.f64 t))) |
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(*.f64 (/.f64 (expm1.f64 z) 1) (/.f64 y t)) |
(*.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t)) (/.f64 y (sqrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t))) |
(*.f64 (/.f64 y 1) (/.f64 (expm1.f64 z) t)) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 1) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) -1) |
(neg.f64 (/.f64 (*.f64 (expm1.f64 z) y) (neg.f64 t))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 z) t) y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 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 (expm1.f64 z)) y)) |
(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))) |
| Outputs |
|---|
(/.f64 (*.f64 y z) t) |
(/.f64 y (/.f64 t z)) |
(*.f64 (/.f64 y t) z) |
(*.f64 z (/.f64 y t)) |
(+.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))) |
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z)) |
(fma.f64 1/2 (*.f64 (*.f64 z (/.f64 y t)) z) (*.f64 z (/.f64 y 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 1/6 (/.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)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z))) |
(fma.f64 1/2 (*.f64 (*.f64 z (/.f64 y t)) z) (fma.f64 1/6 (*.f64 (pow.f64 z 3) (/.f64 y t)) (*.f64 z (/.f64 y 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))))) |
(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)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (*.f64 (/.f64 y t) z)))) |
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(*.f64 (expm1.f64 z) (/.f64 y t)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(exp.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) t) y)) 1)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (expm1.f64 z) t) y))) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 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)) |
(*.f64 y (expm1.f64 z)) |
(log.f64 (pow.f64 (exp.f64 (expm1.f64 z)) y)) |
(*.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)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 y (expm1.f64 z)) | |
| ✓ | 0.2b | (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 0.5b | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| ✓ | 3.0b | (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
Compiled 54 to 23 computations (57.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 1.0ms | y | @ | -inf | (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 1.0ms | z | @ | 0 | (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 0.0ms | y | @ | 0 | (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 0.0ms | z | @ | inf | (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) |
| 1× | batch-egg-rewrite |
| 1456× | associate-*r/ |
| 1162× | associate-*l/ |
| 1014× | associate-/r* |
| 784× | associate-/l* |
| 396× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 54 |
| 1 | 264 | 42 |
| 2 | 3315 | 42 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 1 (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 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(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 (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 (pow.f64 t -1/2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 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 (cbrt.f64 (pow.f64 t -2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 t -2)) (*.f64 (/.f64 (/.f64 1 (cbrt.f64 t)) 1) (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(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 (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)))))) (#(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 -1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 t) (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (pow.f64 t -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))) (*.f64 (/.f64 1 t) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 t) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 t -1/2) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))) (*.f64 (pow.f64 t -1/2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 t -2)) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 1 (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2) (cbrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 t -2)) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 1 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 t) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))) 1) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 t -2)) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 1 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 t -2)) (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 1 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 t) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))) -1) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) (#(struct:change #<rule egg-rr> (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 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)) 1) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) -1) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1)))) (#(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 (exp.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))))))) |
| 1× | egg-herbie |
| 1466× | associate-*r/ |
| 972× | associate-+l+ |
| 890× | +-commutative |
| 808× | associate-+r+ |
| 674× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 409 | 6746 |
| 1 | 1168 | 6410 |
| 2 | 4983 | 6404 |
| 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))))) |
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(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 -1 (/.f64 -1 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (/.f64 -1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)) 1) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) -1) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) |
(pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/3) |
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(exp.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
| 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 (/.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)) |
(+.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))) |
(+.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)))) |
(/.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 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 (log.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 (log.f64 (expm1.f64 z)) t) (+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t)))) (/.f64 -1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 -1/2 (*.f64 t (*.f64 y (*.f64 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 (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 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (/.f64 1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.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 1/2 (*.f64 t (*.f64 y (*.f64 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))))) |
(+.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 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (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 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))))) |
(-.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 (log.f64 (neg.f64 (expm1.f64 z))) t) (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (+.f64 (/.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 (neg.f64 (expm1.f64 z))) t) (+.f64 (+.f64 (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) (*.f64 y t))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (/.f64 -1/2 (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2))))))) |
(+.f64 (/.f64 1/3 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (+.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 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) 2)))))))) |
(/.f64 (*.f64 y z) t) |
(/.f64 y (/.f64 t z)) |
(*.f64 (/.f64 y t) z) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)) t)) (/.f64 (*.f64 y z) t)) |
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (/.f64 y (/.f64 t z))) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (*.f64 (/.f64 y t) z)) |
(+.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))) |
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (/.f64 t (pow.f64 z 3))) (/.f64 y (/.f64 t z)))) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (*.f64 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) t) (pow.f64 z 3)) (*.f64 (/.f64 y t) z))) |
(+.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))))) |
(fma.f64 1/2 (/.f64 (*.f64 z z) (/.f64 t (fma.f64 -1 (*.f64 y y) y))) (+.f64 (fma.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (*.f64 2 (pow.f64 y 3)))) (/.f64 t (pow.f64 z 3))) (/.f64 y (/.f64 t z))) (*.f64 1/24 (/.f64 (+.f64 y (fma.f64 -3 (*.f64 y y) (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 (pow.f64 y 4) -6))))) (/.f64 t (pow.f64 z 4)))))) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 z z) t) (-.f64 y (*.f64 y y))) (fma.f64 1/6 (*.f64 (/.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) t) (pow.f64 z 3)) (fma.f64 1/24 (*.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 (pow.f64 y 4) -6))) (fma.f64 (*.f64 y y) -3 y)) t) (pow.f64 z 4)) (*.f64 (/.f64 y t) z)))) |
(/.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 1 (*.f64 (-.f64 (exp.f64 z) 1) y)) |
(/.f64 1 (*.f64 (expm1.f64 z) y)) |
(+.f64 1/2 (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(+.f64 1/2 (/.f64 1 (*.f64 (expm1.f64 z) y))) |
(+.f64 1/2 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 1/3 (-.f64 (exp.f64 z) 1)) (*.f64 -1/4 (-.f64 (exp.f64 z) 1))))) (/.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y)))) |
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(+.f64 1/2 (-.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (*.f64 (expm1.f64 z) (*.f64 1/12 y)))) |
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(/.f64 (*.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 (pow.f64 t -2))) 1) (*.f64 (cbrt.f64 t) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1/2))) |
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 (pow.f64 t -2))) (*.f64 (cbrt.f64 t) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -1/2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 t -2)) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (/.f64 (cbrt.f64 (pow.f64 t -2)) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -2)))) |
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 1 (cbrt.f64 t))) |
(*.f64 (/.f64 1 (cbrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2))) |
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2)) |
(*.f64 (/.f64 (/.f64 (/.f64 1 t) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))) 1) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -2))) (*.f64 (/.f64 1 t) (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(/.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 t (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 t -2)) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 1 (cbrt.f64 t))) |
(*.f64 (cbrt.f64 (pow.f64 t -2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) |
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 t -2)) (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 1 (cbrt.f64 t))) |
(*.f64 (cbrt.f64 (pow.f64 t -2)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 (sqrt.f64 -1) t)) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (*.f64 t (sqrt.f64 -1))) (sqrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 t) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))) -1) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 t) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -2))) -1) (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (/.f64 1 t)) (neg.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -2)))) |
(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) |
(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 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)) |
(/.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 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 1 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2)) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -2)) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -2)) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(*.f64 -1 (/.f64 -1 (log1p.f64 (*.f64 y (expm1.f64 z))))) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (/.f64 -1 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -2)) 1) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) -2)) (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) |
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) -1) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) (/.f64 1 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) |
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) |
(/.f64 (/.f64 1 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 2)) |
(pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1/2) 2) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(pow.f64 (cbrt.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))) 3) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(pow.f64 (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3) 1/3) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1) |
(/.f64 1 (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)) |
(log.f64 (exp.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(cbrt.f64 (pow.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(expm1.f64 (log1p.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(exp.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1)) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(log1p.f64 (expm1.f64 (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(/.f64 1 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
Compiled 21975 to 11109 computations (49.4% saved)
24 alts after pruning (17 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 793 | 7 | 800 |
| Fresh | 5 | 10 | 15 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 7 | 7 |
| Total | 799 | 24 | 823 |
| Status | Error | Program |
|---|---|---|
| 26.1b | (-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) | |
| ✓ | 1.7b | (-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)) |
| 12.2b | (-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 (expm1.f64 z) y)))) | |
| 19.0b | (-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 z y)))) | |
| 9.5b | (-.f64 x (/.f64 (/.f64 1 t) (+.f64 1/2 (/.f64 1 (*.f64 (expm1.f64 z) y))))) | |
| ▶ | 54.7b | (-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) |
| ▶ | 18.0b | (-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
| ✓ | 11.9b | (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
| 21.8b | (-.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 z (*.f64 y 1/2)) y)) t)) | |
| 18.7b | (-.f64 x (/.f64 (*.f64 z y) t)) | |
| ✓ | 1.3b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| 20.0b | (-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) | |
| ▶ | 5.8b | (-.f64 x (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t)) |
| 19.9b | (-.f64 x (/.f64 z (/.f64 t y))) | |
| ▶ | 18.1b | (-.f64 x (/.f64 y (/.f64 t z))) |
| 18.7b | (-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) | |
| ✓ | 1.3b | (-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
| 9.3b | (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) | |
| ▶ | 20.2b | (-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1)) |
| 22.0b | (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))) | |
| ✓ | 18.3b | (-.f64 x (*.f64 (/.f64 z t) y)) |
| ✓ | 20.1b | (-.f64 x (*.f64 (/.f64 y t) z)) |
| ✓ | 19.0b | (-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y))) |
| 20.3b | (-.f64 x (*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3)) y)) |
Compiled 603 to 425 computations (29.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) |
| 0.5b | (log1p.f64 (*.f64 y (expm1.f64 z))) | |
| ✓ | 2.7b | (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t) |
| ✓ | 22.0b | (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) |
Compiled 57 to 22 computations (61.4% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) |
| 2.0ms | y | @ | -inf | (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) |
| 2.0ms | z | @ | 0 | (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) |
| 1.0ms | y | @ | 0 | (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) |
| 1.0ms | z | @ | inf | (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) |
| 1× | batch-egg-rewrite |
| 1006× | *-commutative |
| 824× | unswap-sqr |
| 656× | associate-/r* |
| 642× | swap-sqr |
| 538× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 57 |
| 1 | 266 | 57 |
| 2 | 2963 | 57 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) |
(/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t) |
(pow.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 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))))) (#(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)))) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2))))) (#(struct:change #<rule egg-rr> (2) 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(*.f64 y (expm1.f64 z))) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2)) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2)) (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2)) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/4) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2)) (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/4) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.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))) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.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 *.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) 3/4) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))))))) |
| 1× | egg-herbie |
| 1310× | associate-*r* |
| 1154× | associate-*l* |
| 748× | fma-def |
| 674× | *-commutative |
| 586× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 591 | 11645 |
| 1 | 1768 | 10295 |
| 1× | node limit |
| Inputs |
|---|
(*.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))) |
(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 (-.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) |
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(*.f64 (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2)) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2)) (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2)) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2))) |
(*.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/4) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2)) (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/4) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2))) |
(*.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.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))) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.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)))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) 3/4) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) 3/4)) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 3) 1/6)) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 6)) |
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))) |
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))) |
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))) |
| Outputs |
|---|
(*.f64 (-.f64 (exp.f64 z) 1) y) |
(*.f64 (expm1.f64 z) 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)))) |
(fma.f64 (expm1.f64 z) y (*.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))) |
(fma.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)) (*.f64 (expm1.f64 z) y)) |
(+.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))))) |
(fma.f64 (expm1.f64 z) y (fma.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)) (*.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3))))) |
(fma.f64 (expm1.f64 z) y (fma.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)) (*.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))) |
(+.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)))))) |
(fma.f64 -1/4 (*.f64 (pow.f64 (expm1.f64 z) 4) (pow.f64 y 4)) (fma.f64 (expm1.f64 z) y (fma.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)) (*.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))))) |
(fma.f64 -1/4 (*.f64 (pow.f64 (expm1.f64 z) 4) (pow.f64 y 4)) (fma.f64 (expm1.f64 z) y (fma.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)) (*.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) |
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 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 (log.f64 (expm1.f64 z)) (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1 (*.f64 (expm1.f64 z) y)))) |
(+.f64 (log.f64 y) (+.f64 (log.f64 (expm1.f64 z)) (/.f64 1 (*.f64 (expm1.f64 z) 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 (log.f64 (expm1.f64 z)) (-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1 (*.f64 (expm1.f64 z) y))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))) |
(+.f64 (+.f64 (log.f64 y) (/.f64 1 (*.f64 (expm1.f64 z) y))) (+.f64 (log.f64 (expm1.f64 z)) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))) |
(-.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 (log.f64 (expm1.f64 z)) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))) |
(+.f64 (+.f64 (+.f64 (log.f64 y) (/.f64 1 (*.f64 (expm1.f64 z) y))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (+.f64 (log.f64 (expm1.f64 z)) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1)))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (expm1.f64 z)))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) |
(+.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))))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (log.f64 (neg.f64 (expm1.f64 z))))) |
(+.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) |
(-.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 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (log.f64 (neg.f64 (expm1.f64 z))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))) |
(-.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 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3))) (log.f64 (neg.f64 (expm1.f64 z)))))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))) |
(+.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 (expm1.f64 z) y)) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 y 3)))) (/.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 y y)))) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1 (pow.f64 y 2)) y)))) |
(fma.f64 y z (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 -1 (*.f64 y y) y)))) |
(fma.f64 z y (*.f64 (-.f64 y (*.f64 y y)) (*.f64 1/2 (*.f64 z z)))) |
(+.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))))) |
(fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (*.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 -1 (*.f64 y y) y))))) |
(fma.f64 z y (fma.f64 1/6 (*.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) (pow.f64 z 3)) (*.f64 (-.f64 y (*.f64 y y)) (*.f64 1/2 (*.f64 z z))))) |
(+.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)))))) |
(fma.f64 y z (fma.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (*.f64 2 (pow.f64 y 3)))) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (*.f64 z z) (fma.f64 -1 (*.f64 y y) y)) (*.f64 1/24 (*.f64 (fma.f64 -3 (*.f64 y y) (+.f64 y (fma.f64 12 (pow.f64 y 3) (fma.f64 -4 (*.f64 y y) (*.f64 (pow.f64 y 4) -6))))) (pow.f64 z 4)))))) |
(fma.f64 z y (fma.f64 1/6 (*.f64 (fma.f64 (*.f64 y y) -3 (fma.f64 2 (pow.f64 y 3) y)) (pow.f64 z 3)) (fma.f64 1/24 (*.f64 (+.f64 (fma.f64 (pow.f64 y 3) 12 (fma.f64 (*.f64 y y) -4 (*.f64 (pow.f64 y 4) -6))) (fma.f64 (*.f64 y y) -3 y)) (pow.f64 z 4)) (*.f64 (-.f64 y (*.f64 y y)) (*.f64 1/2 (*.f64 z z)))))) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(log.f64 (+.f64 1 (*.f64 (-.f64 (exp.f64 z) 1) y))) |
(log1p.f64 (*.f64 (expm1.f64 z) y)) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(/.f64 (expm1.f64 z) (/.f64 t y)) |
(*.f64 (/.f64 (expm1.f64 z) 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))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 (expm1.f64 z) 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 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 t (*.f64 y y)))))) |
(fma.f64 1/3 (/.f64 (pow.f64 (expm1.f64 z) 3) (/.f64 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))) |
(+.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 (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))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y y)) (*.f64 (/.f64 (expm1.f64 z) 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 (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 (/.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 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 (*.f64 y y) t)))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t)) (-.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1/2 (*.f64 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 (pow.f64 y 3) t)))) (/.f64 1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 (*.f64 y y) t))))) |
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (/.f64 1 (expm1.f64 z)) (*.f64 y t))) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 (expm1.f64 z) 3) (*.f64 (pow.f64 y 3) t))) (/.f64 (/.f64 1/2 (*.f64 y (*.f64 y t))) (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) |
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(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) |
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(*.f64 (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3/2)) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/2)) (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3/2)) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/2))) |
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(*.f64 (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2)) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2)) (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3/2)) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3/2))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3/2)) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/2)) (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3/2)) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/2))) |
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(*.f64 (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3/2)) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/2)) (*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3/2)) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 3/2))) |
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(*.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3/2)))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) 3/4) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2) 3/4)) |
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 2) 3/2) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 3) 1/6)) |
(pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 6)) |
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 6)) |
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))) |
(pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))) |
(pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) |
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 3)) |
(pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) |
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))) |
(pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) |
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) |
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))) |
(pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) 3) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.9b | (/.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 | t | @ | -inf | (/.f64 y (/.f64 t z)) |
| 0.0ms | z | @ | -inf | (/.f64 y (/.f64 t z)) |
| 0.0ms | y | @ | -inf | (/.f64 y (/.f64 t z)) |
| 0.0ms | y | @ | 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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (*.f64 (/.f64 z t) y)) |
| ✓ | 1.7b | (-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1) |
| 4.8b | (*.f64 (/.f64 z t) y) |
Compiled 44 to 18 computations (59.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1) |
| 0.0ms | z | @ | 0 | (+.f64 1 (*.f64 (/.f64 z t) y)) |
| 0.0ms | z | @ | -inf | (-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1) |
| 0.0ms | y | @ | inf | (-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1) |
| 0.0ms | t | @ | inf | (-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1) |
| 1× | batch-egg-rewrite |
| 1084× | associate-/r* |
| 984× | *-commutative |
| 810× | associate-/l* |
| 640× | distribute-lft-in |
| 608× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 1 | 221 | 28 |
| 2 | 3130 | 28 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1) |
(+.f64 1 (*.f64 (/.f64 z t) y)) |
| Outputs |
|---|
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z t) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 z t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) (sqrt.f64 (*.f64 (/.f64 z t) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2) (cbrt.f64 (*.f64 (/.f64 z t) y)) 1))))) |
| 1× | egg-herbie |
| 1450× | associate-+l+ |
| 1378× | associate-+r+ |
| 678× | +-commutative |
| 652× | associate-*r* |
| 630× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 547 | 9201 |
| 1 | 1485 | 8929 |
| 2 | 6546 | 8925 |
| 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) |
1 |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(/.f64 (*.f64 y z) t) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(/.f64 (*.f64 y z) t) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(/.f64 (*.f64 y z) t) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
1 |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
1 |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
1 |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(/.f64 (*.f64 y z) t) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(/.f64 (*.f64 y z) t) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(+.f64 1 (fma.f64 (/.f64 z t) y -1)) |
(+.f64 (*.f64 (/.f64 z t) y) 0) |
(+.f64 (fma.f64 (/.f64 z t) y 1) -1) |
(+.f64 0 (*.f64 (/.f64 z t) y)) |
(+.f64 (fma.f64 (/.f64 z t) y -1) 1) |
(+.f64 -1 (fma.f64 (/.f64 z t) y 1)) |
(*.f64 1 (*.f64 (/.f64 z t) y)) |
(*.f64 z (*.f64 y (/.f64 1 t))) |
(*.f64 (/.f64 z t) y) |
(*.f64 y (/.f64 z t)) |
(*.f64 (*.f64 (/.f64 z t) y) 1) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) (sqrt.f64 (*.f64 (/.f64 z t) y))) |
(*.f64 (sqrt.f64 (/.f64 z t)) (*.f64 y (sqrt.f64 (/.f64 z t)))) |
(*.f64 (sqrt.f64 y) (*.f64 (/.f64 z t) (sqrt.f64 y))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2) (cbrt.f64 (*.f64 (/.f64 z t) y))) |
(*.f64 (cbrt.f64 (/.f64 z t)) (*.f64 y (pow.f64 (cbrt.f64 (/.f64 z t)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z t)) 2) (*.f64 y (cbrt.f64 (/.f64 z t)))) |
(*.f64 (cbrt.f64 y) (*.f64 (/.f64 z t) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (/.f64 z t) (cbrt.f64 y))) |
(*.f64 (*.f64 z y) (/.f64 1 t)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1) (/.f64 1 (+.f64 (*.f64 (/.f64 z t) y) 2))) |
(*.f64 (/.f64 1 t) (*.f64 z y)) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) (+.f64 (*.f64 (/.f64 z t) y) 2)))) |
(*.f64 (*.f64 (/.f64 z t) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 (/.f64 z t) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 z t)) 2)) (cbrt.f64 (/.f64 z t))) |
(*.f64 (*.f64 y (/.f64 1 t)) z) |
(*.f64 (*.f64 y (sqrt.f64 (/.f64 z t))) (sqrt.f64 (/.f64 z t))) |
(*.f64 (*.f64 y (cbrt.f64 (/.f64 z t))) (pow.f64 (cbrt.f64 (/.f64 z t)) 2)) |
(*.f64 (*.f64 (/.f64 z t) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 z 1) (/.f64 y t)) |
(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y (sqrt.f64 t))) |
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t))) |
(*.f64 (+.f64 1 (sqrt.f64 (fma.f64 (/.f64 z t) y 1))) (-.f64 (sqrt.f64 (fma.f64 (/.f64 z t) y 1)) 1)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (/.f64 z t) y 1)) 1) (+.f64 1 (sqrt.f64 (fma.f64 (/.f64 z t) y 1)))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 z t) y) 2)) (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) (+.f64 (*.f64 (/.f64 z t) y) 2))) (+.f64 -1 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3))) |
(*.f64 (/.f64 y t) z) |
(*.f64 (/.f64 y t) (/.f64 z 1)) |
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 z (sqrt.f64 t))) |
(*.f64 (/.f64 y (cbrt.f64 t)) (/.f64 z (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1) (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1)) (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 y 1) (/.f64 z t)) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 z (cbrt.f64 t))) |
(*.f64 (/.f64 y (neg.f64 t)) (neg.f64 z)) |
(*.f64 (/.f64 y (/.f64 t (sqrt.f64 z))) (sqrt.f64 z)) |
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(*.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2)) (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3))) (+.f64 1 (*.f64 (*.f64 (/.f64 z t) y) (fma.f64 (/.f64 z t) y 1)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)) (-.f64 1 (*.f64 (*.f64 (*.f64 (/.f64 z t) y) (fma.f64 (/.f64 z t) y -1)) (*.f64 (*.f64 (/.f64 z t) y) (fma.f64 (/.f64 z t) y -1))))) (-.f64 1 (*.f64 (*.f64 (/.f64 z t) y) (fma.f64 (/.f64 z t) y -1)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)) (+.f64 1 (pow.f64 (*.f64 (*.f64 (/.f64 z t) y) (fma.f64 (/.f64 z t) y -1)) 3))) (+.f64 1 (*.f64 (*.f64 (*.f64 (/.f64 z t) y) (fma.f64 (/.f64 z t) y -1)) (-.f64 (*.f64 (*.f64 (/.f64 z t) y) (fma.f64 (/.f64 z t) y -1)) 1)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1)) (fma.f64 (/.f64 z t) y 1)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) 1)) (+.f64 1 (*.f64 (*.f64 (/.f64 z t) y) (fma.f64 (/.f64 z t) y 1)))) |
(/.f64 1 (/.f64 1 (fma.f64 (/.f64 z t) y 1))) |
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2)) (-.f64 1 (*.f64 (/.f64 z t) y))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)) (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)) 1)) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2))) (/.f64 (-.f64 1 (*.f64 (/.f64 z t) y)) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2))))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)) (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2)))) (/.f64 (-.f64 1 (*.f64 (/.f64 z t) y)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) (fma.f64 (/.f64 z t) y -1)) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) (pow.f64 (*.f64 (/.f64 z t) y) 3))) (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)) (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (pow.f64 (*.f64 (/.f64 z t) y) 2))) (*.f64 (-.f64 1 (*.f64 (/.f64 z t) y)) (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) 3)) (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)) (+.f64 1 (*.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 3) 1))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 3)) (*.f64 (-.f64 1 (*.f64 (/.f64 z t) y)) (+.f64 1 (*.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2))) (neg.f64 (-.f64 1 (*.f64 (/.f64 z t) y)))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2)) 1) (-.f64 1 (*.f64 (/.f64 z t) y))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2)) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 z t) y)))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 z t) y)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 z t) y))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 z t) y))))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 z t) y)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)) 1) (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) 1) (fma.f64 (/.f64 z t) y -1)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) (sqrt.f64 (fma.f64 (/.f64 z t) y -1))) (sqrt.f64 (fma.f64 (/.f64 z t) y -1))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) (*.f64 (cbrt.f64 (fma.f64 (/.f64 z t) y -1)) (cbrt.f64 (fma.f64 (/.f64 z t) y -1)))) (cbrt.f64 (fma.f64 (/.f64 z t) y -1))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) (+.f64 1 (sqrt.f64 (*.f64 (/.f64 z t) y)))) (-.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) 1)) |
(pow.f64 (fma.f64 (/.f64 z t) y 1) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 z t) y 1)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 z t) y 1)) 3) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2)) |
(log.f64 (exp.f64 (fma.f64 (/.f64 z t) y 1))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 z t) y 1)))) |
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 z t) y 1))) |
(exp.f64 (log1p.f64 (*.f64 (/.f64 z t) y))) |
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 z t) y 1))) |
(fma.f64 1 (*.f64 (/.f64 z t) y) 1) |
(fma.f64 (/.f64 z t) y 1) |
(fma.f64 y (/.f64 z t) 1) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) (sqrt.f64 (*.f64 (/.f64 z t) y)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2) (cbrt.f64 (*.f64 (/.f64 z t) y)) 1) |
| Outputs |
|---|
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
1 |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
1 |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
1 |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
1 |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(/.f64 (*.f64 y z) t) |
(/.f64 z (/.f64 t y)) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (/.f64 (*.f64 y z) t)) |
(fma.f64 y (/.f64 z t) 1) |
(+.f64 1 (fma.f64 (/.f64 z t) y -1)) |
(/.f64 z (/.f64 t y)) |
(+.f64 (*.f64 (/.f64 z t) y) 0) |
(/.f64 z (/.f64 t y)) |
(+.f64 (fma.f64 (/.f64 z t) y 1) -1) |
(/.f64 z (/.f64 t y)) |
(+.f64 0 (*.f64 (/.f64 z t) y)) |
(/.f64 z (/.f64 t y)) |
(+.f64 (fma.f64 (/.f64 z t) y -1) 1) |
(/.f64 z (/.f64 t y)) |
(+.f64 -1 (fma.f64 (/.f64 z t) y 1)) |
(/.f64 z (/.f64 t y)) |
(*.f64 1 (*.f64 (/.f64 z t) y)) |
(/.f64 z (/.f64 t y)) |
(*.f64 z (*.f64 y (/.f64 1 t))) |
(/.f64 z (/.f64 t y)) |
(*.f64 (/.f64 z t) y) |
(/.f64 z (/.f64 t y)) |
(*.f64 y (/.f64 z t)) |
(/.f64 z (/.f64 t y)) |
(*.f64 (*.f64 (/.f64 z t) y) 1) |
(/.f64 z (/.f64 t y)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) (sqrt.f64 (*.f64 (/.f64 z t) y))) |
(/.f64 z (/.f64 t y)) |
(*.f64 (sqrt.f64 (/.f64 z t)) (*.f64 y (sqrt.f64 (/.f64 z t)))) |
(/.f64 z (/.f64 t y)) |
(*.f64 (sqrt.f64 y) (*.f64 (/.f64 z t) (sqrt.f64 y))) |
(/.f64 z (/.f64 t y)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2)) |
(/.f64 z (/.f64 t y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2) (cbrt.f64 (*.f64 (/.f64 z t) y))) |
(/.f64 z (/.f64 t y)) |
(*.f64 (cbrt.f64 (/.f64 z t)) (*.f64 y (pow.f64 (cbrt.f64 (/.f64 z t)) 2))) |
(/.f64 z (/.f64 t y)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z t)) 2) (*.f64 y (cbrt.f64 (/.f64 z t)))) |
(/.f64 z (/.f64 t y)) |
(*.f64 (cbrt.f64 y) (*.f64 (/.f64 z t) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 z (/.f64 t y)) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (/.f64 z t) (cbrt.f64 y))) |
(/.f64 z (/.f64 t y)) |
(*.f64 (*.f64 z y) (/.f64 1 t)) |
(/.f64 z (/.f64 t y)) |
(*.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1) (/.f64 1 (+.f64 (*.f64 (/.f64 z t) y) 2))) |
(/.f64 z (/.f64 t y)) |
(*.f64 (/.f64 1 t) (*.f64 z y)) |
(/.f64 z (/.f64 t y)) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) (+.f64 (*.f64 (/.f64 z t) y) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 y (/.f64 z t) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (/.f64 z t) 1) 2) (fma.f64 (/.f64 z t) y 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 y (/.f64 z t) 1) 3)) (+.f64 (pow.f64 (fma.f64 y (/.f64 z t) 1) 2) (fma.f64 z (/.f64 y t) 2))) |
(*.f64 (*.f64 (/.f64 z t) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 z (/.f64 t y)) |
(*.f64 (*.f64 (/.f64 z t) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 z (/.f64 t y)) |
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 z t)) 2)) (cbrt.f64 (/.f64 z t))) |
(/.f64 z (/.f64 t y)) |
(*.f64 (*.f64 y (/.f64 1 t)) z) |
(/.f64 z (/.f64 t y)) |
(*.f64 (*.f64 y (sqrt.f64 (/.f64 z t))) (sqrt.f64 (/.f64 z t))) |
(/.f64 z (/.f64 t y)) |
(*.f64 (*.f64 y (cbrt.f64 (/.f64 z t))) (pow.f64 (cbrt.f64 (/.f64 z t)) 2)) |
(/.f64 z (/.f64 t y)) |
(*.f64 (*.f64 (/.f64 z t) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 z (/.f64 t y)) |
(*.f64 (/.f64 z 1) (/.f64 y t)) |
(/.f64 z (/.f64 t y)) |
(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 y (sqrt.f64 t))) |
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t))) |
(/.f64 z (/.f64 t y)) |
(*.f64 (+.f64 1 (sqrt.f64 (fma.f64 (/.f64 z t) y 1))) (-.f64 (sqrt.f64 (fma.f64 (/.f64 z t) y 1)) 1)) |
(/.f64 z (/.f64 t y)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (/.f64 z t) y 1)) 1) (+.f64 1 (sqrt.f64 (fma.f64 (/.f64 z t) y 1)))) |
(/.f64 z (/.f64 t y)) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 z t) y) 2)) (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) -1)) |
(/.f64 z (/.f64 t y)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2) (+.f64 (*.f64 (/.f64 z t) y) 2))) (+.f64 -1 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3))) |
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(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 3)) 1) (-.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) (fma.f64 (/.f64 z t) y -1))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 3)) (-.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) (fma.f64 y (/.f64 z t) -1))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 3)) (+.f64 1 (*.f64 (fma.f64 y (/.f64 z t) -1) (/.f64 z (/.f64 t y))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2)) 1) (-.f64 1 (*.f64 (/.f64 z t) y))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 2)) (-.f64 1 (/.f64 z (/.f64 t y)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2)) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 z t) y)))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 z t) y)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 2)) (-.f64 1 (/.f64 z (/.f64 t y)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 2)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 z t) y))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 z t) y))))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 z t) y)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 2)) (-.f64 1 (/.f64 z (/.f64 t y)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)) 1) (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 3)) 1) (-.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) (fma.f64 (/.f64 z t) y -1))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 3)) (-.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) (fma.f64 y (/.f64 z t) -1))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 3)) (+.f64 1 (*.f64 (fma.f64 y (/.f64 z t) -1) (/.f64 z (/.f64 t y))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 3)) 1) (-.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) (fma.f64 (/.f64 z t) y -1))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 3)) (-.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) (fma.f64 y (/.f64 z t) -1))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 3)) (+.f64 1 (*.f64 (fma.f64 y (/.f64 z t) -1) (/.f64 z (/.f64 t y))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 z t) y) 3)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1))))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) (fma.f64 (/.f64 z t) y -1)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 3)) 1) (-.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) (fma.f64 (/.f64 z t) y -1))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 3)) (-.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) (fma.f64 y (/.f64 z t) -1))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 z (/.f64 t y)) 3)) (+.f64 1 (*.f64 (fma.f64 y (/.f64 z t) -1) (/.f64 z (/.f64 t y))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) 1) (fma.f64 (/.f64 z t) y -1)) |
(/.f64 (+.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) -1) (fma.f64 (/.f64 z t) y -1)) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 z (/.f64 t y)) 2)) (fma.f64 y (/.f64 z t) -1)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) (sqrt.f64 (fma.f64 (/.f64 z t) y -1))) (sqrt.f64 (fma.f64 (/.f64 z t) y -1))) |
(/.f64 (+.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) -1) (fma.f64 (/.f64 z t) y -1)) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 z (/.f64 t y)) 2)) (fma.f64 y (/.f64 z t) -1)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) (*.f64 (cbrt.f64 (fma.f64 (/.f64 z t) y -1)) (cbrt.f64 (fma.f64 (/.f64 z t) y -1)))) (cbrt.f64 (fma.f64 (/.f64 z t) y -1))) |
(/.f64 (+.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) -1) (fma.f64 (/.f64 z t) y -1)) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 z (/.f64 t y)) 2)) (fma.f64 y (/.f64 z t) -1)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) 2) 1) (+.f64 1 (sqrt.f64 (*.f64 (/.f64 z t) y)))) (-.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) 1)) |
(/.f64 (+.f64 (pow.f64 (/.f64 z (/.f64 t y)) 2) -1) (fma.f64 (/.f64 z t) y -1)) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 z (/.f64 t y)) 2)) (fma.f64 y (/.f64 z t) -1)) |
(pow.f64 (fma.f64 (/.f64 z t) y 1) 1) |
(fma.f64 y (/.f64 z t) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 z t) y 1)) 2) |
(fma.f64 y (/.f64 z t) 1) |
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 z t) y 1)) 3) |
(fma.f64 y (/.f64 z t) 1) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3) 1/3) |
(fma.f64 y (/.f64 z t) 1) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 z t) 1) 2)) |
(fabs.f64 (fma.f64 y (/.f64 z t) 1)) |
(log.f64 (exp.f64 (fma.f64 (/.f64 z t) y 1))) |
(fma.f64 y (/.f64 z t) 1) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 z t) y 1)))) |
(fma.f64 y (/.f64 z t) 1) |
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 z t) y 1) 3)) |
(fma.f64 y (/.f64 z t) 1) |
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 z t) y 1))) |
(fma.f64 y (/.f64 z t) 1) |
(exp.f64 (log1p.f64 (*.f64 (/.f64 z t) y))) |
(exp.f64 (log1p.f64 (/.f64 z (/.f64 t y)))) |
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 z t) y 1))) |
(fma.f64 y (/.f64 z t) 1) |
(fma.f64 1 (*.f64 (/.f64 z t) y) 1) |
(fma.f64 y (/.f64 z t) 1) |
(fma.f64 (/.f64 z t) y 1) |
(fma.f64 y (/.f64 z t) 1) |
(fma.f64 y (/.f64 z t) 1) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 z t) y)) (sqrt.f64 (*.f64 (/.f64 z t) y)) 1) |
(fma.f64 y (/.f64 z t) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z t) y)) 2) (cbrt.f64 (*.f64 (/.f64 z t) y)) 1) |
(fma.f64 y (/.f64 z t) 1) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 (exp.f64 z) 1) y) |
| ✓ | 0.0b | (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
| ✓ | 3.6b | (-.f64 (exp.f64 z) 1) |
Compiled 39 to 20 computations (48.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | inf | (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
| 0.0ms | t | @ | inf | (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
| 0.0ms | t | @ | 0 | (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
| 0.0ms | z | @ | -inf | (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
| 1× | batch-egg-rewrite |
| 1462× | associate-*r/ |
| 1382× | associate-/r* |
| 1278× | associate-/l* |
| 1102× | associate-*l/ |
| 1066× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 33 |
| 1 | 226 | 33 |
| 2 | 2936 | 33 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 z) 1) |
(/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t) |
(*.f64 (-.f64 (exp.f64 z) 1) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 z)) (cbrt.f64 (pow.f64 (expm1.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (cbrt.f64 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (/.f64 1 (+.f64 (exp.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (exp.f64 z))) (-.f64 (sqrt.f64 (exp.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (exp.f64 z)) 1) (+.f64 1 (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 z) 1)) (+.f64 (pow.f64 (exp.f64 z) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))) (+.f64 -1 (pow.f64 (exp.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 (sqrt.f64 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (/.f64 1 (cbrt.f64 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (+.f64 (exp.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (/.f64 1 (/.f64 1 (+.f64 (exp.f64 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 z) 1) (/.f64 (+.f64 (exp.f64 z) 1) (expm1.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (/.f64 (+.f64 (exp.f64 z) 1) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (/.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (/.f64 (+.f64 (exp.f64 z) 1) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))))))) (#(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 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) 1) (+.f64 (exp.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (sqrt.f64 (+.f64 (exp.f64 z) 1))) (sqrt.f64 (+.f64 (exp.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 z) 1)) (cbrt.f64 (+.f64 (exp.f64 z) 1)))) (cbrt.f64 (+.f64 (exp.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) 1) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))))) (#(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 cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 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 log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) y))))))) |
| 1× | egg-herbie |
| 1438× | distribute-rgt-in |
| 1436× | distribute-lft-in |
| 816× | associate-/l* |
| 666× | associate-*r* |
| 662× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 428 | 6273 |
| 1 | 1059 | 6081 |
| 2 | 5163 | 6081 |
| 1× | node limit |
| Inputs |
|---|
z |
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z) |
(+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))) |
(+.f64 (*.f64 1/24 (pow.f64 z 4)) (+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3))))) |
(/.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 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 (exp.f64 z) -1) |
(+.f64 -1 (exp.f64 z)) |
(*.f64 1 (expm1.f64 z)) |
(*.f64 (expm1.f64 z) 1) |
(*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (expm1.f64 z))) |
(*.f64 (cbrt.f64 (expm1.f64 z)) (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (cbrt.f64 (expm1.f64 z))) |
(*.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (/.f64 1 (+.f64 (exp.f64 z) 1))) |
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 z))) (-.f64 (sqrt.f64 (exp.f64 z)) 1)) |
(*.f64 (-.f64 (sqrt.f64 (exp.f64 z)) 1) (+.f64 1 (sqrt.f64 (exp.f64 z)))) |
(*.f64 (/.f64 1 (+.f64 (exp.f64 z) 1)) (+.f64 (pow.f64 (exp.f64 z) 2) -1)) |
(*.f64 (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) (+.f64 -1 (pow.f64 (exp.f64 z) 3))) |
(/.f64 1 (/.f64 1 (expm1.f64 z))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))) (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) |
(/.f64 (expm1.f64 z) 1) |
(/.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 (sqrt.f64 (expm1.f64 z)))) |
(/.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (/.f64 1 (cbrt.f64 (expm1.f64 z)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (+.f64 (exp.f64 z) 1)) |
(/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (/.f64 1 (/.f64 1 (+.f64 (exp.f64 z) 1)))) |
(/.f64 (+.f64 (exp.f64 z) 1) (/.f64 (+.f64 (exp.f64 z) 1) (expm1.f64 z))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (/.f64 (+.f64 (exp.f64 z) 1) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (/.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (/.f64 (+.f64 (exp.f64 z) 1) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (/.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))))) |
(/.f64 (+.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 1 (-.f64 (sqrt.f64 (exp.f64 z)) 1))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (neg.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (neg.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (neg.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (neg.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (sqrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (cbrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) 1) (neg.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) 1) (neg.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (cbrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (exp.f64 z) 2)) 1) (/.f64 1 (+.f64 (exp.f64 z) 1))) (+.f64 1 (pow.f64 (exp.f64 z) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 z) 2) 3) 1) (/.f64 1 (+.f64 (exp.f64 z) 1))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (exp.f64 z) 2)) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 (exp.f64 z) 3)) 1) (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) (+.f64 1 (pow.f64 (exp.f64 z) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 z) 3) 3) 1) (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) (+.f64 (*.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 (exp.f64 z) 3)) (+.f64 1 (pow.f64 (exp.f64 z) 3)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) 1) (+.f64 (exp.f64 z) 1)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (sqrt.f64 (+.f64 (exp.f64 z) 1))) (sqrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (*.f64 (cbrt.f64 (+.f64 (exp.f64 z) 1)) (cbrt.f64 (+.f64 (exp.f64 z) 1)))) (cbrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) 1) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(pow.f64 (expm1.f64 z) 1) |
(pow.f64 (sqrt.f64 (expm1.f64 z)) 2) |
(pow.f64 (cbrt.f64 (expm1.f64 z)) 3) |
(pow.f64 (pow.f64 (expm1.f64 z) 3) 1/3) |
(sqrt.f64 (pow.f64 (expm1.f64 z) 2)) |
(log.f64 (exp.f64 (expm1.f64 z))) |
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 z)))) |
(cbrt.f64 (pow.f64 (expm1.f64 z) 3)) |
(expm1.f64 z) |
(exp.f64 (log.f64 (expm1.f64 z))) |
(log1p.f64 (expm1.f64 (expm1.f64 z))) |
(fma.f64 1 (exp.f64 z) -1) |
(fma.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 z)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (cbrt.f64 (exp.f64 z)) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) 1) |
(-.f64 (/.f64 (exp.f64 z) (/.f64 t y)) (/.f64 y t)) |
(*.f64 1 (*.f64 (expm1.f64 z) (/.f64 y t))) |
(*.f64 (expm1.f64 z) (/.f64 y t)) |
(*.f64 y (/.f64 (expm1.f64 z) t)) |
(*.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 t)) |
(*.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 1) |
(*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(*.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2) (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (/.f64 1 t) (*.f64 (expm1.f64 z) y)) |
(*.f64 (*.f64 (expm1.f64 z) (neg.f64 y)) (/.f64 -1 t)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t) (sqrt.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (/.f64 (cbrt.f64 t) y))) |
(*.f64 (/.f64 (expm1.f64 z) (/.f64 (sqrt.f64 t) y)) (/.f64 1 (sqrt.f64 t))) |
(*.f64 (/.f64 y t) (expm1.f64 z)) |
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (expm1.f64 z) (sqrt.f64 t))) |
(*.f64 (/.f64 y (cbrt.f64 t)) (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 (expm1.f64 z) (/.f64 (cbrt.f64 t) y)) (/.f64 1 (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 (expm1.f64 z) t) y) |
(*.f64 (/.f64 (expm1.f64 z) t) (/.f64 y 1)) |
(*.f64 (/.f64 -1 t) (*.f64 (expm1.f64 z) (neg.f64 y))) |
(*.f64 (/.f64 (expm1.f64 z) (sqrt.f64 t)) (/.f64 y (sqrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 t) 2)) (/.f64 y (cbrt.f64 t))) |
(*.f64 (/.f64 y 1) (/.f64 (expm1.f64 z) t)) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 t) 2)) (/.f64 (expm1.f64 z) (cbrt.f64 t))) |
(*.f64 (/.f64 (expm1.f64 z) (cbrt.f64 t)) (/.f64 y (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) 1) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (sqrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) (/.f64 y t))) 3) |
(pow.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 t y) (expm1.f64 z)) -1) |
(neg.f64 (/.f64 (expm1.f64 z) (/.f64 (neg.f64 t) y))) |
(sqrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 2)) |
(log.f64 (exp.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t))))) |
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(exp.f64 (log.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) (/.f64 y t)))) |
(+.f64 (*.f64 (exp.f64 z) y) (*.f64 y -1)) |
(+.f64 (*.f64 y -1) (*.f64 (exp.f64 z) y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) 1) |
(/.f64 1 (/.f64 1 (*.f64 (expm1.f64 z) y))) |
(/.f64 (expm1.f64 z) (/.f64 1 y)) |
(/.f64 y (/.f64 1 (expm1.f64 z))) |
(/.f64 (*.f64 (expm1.f64 z) y) 1) |
(/.f64 (sqrt.f64 y) (/.f64 1 (*.f64 (expm1.f64 z) (sqrt.f64 y)))) |
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (sqrt.f64 (*.f64 (expm1.f64 z) y)))) |
(/.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 (*.f64 y (sqrt.f64 (expm1.f64 z))))) |
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (*.f64 (expm1.f64 z) (cbrt.f64 y)))) |
(/.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 z) y)) 2) (/.f64 1 (cbrt.f64 (*.f64 (expm1.f64 z) y)))) |
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (/.f64 1 (*.f64 y (cbrt.f64 (expm1.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (/.f64 (+.f64 (exp.f64 z) 1) y)) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (/.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))) y)) |
(/.f64 (*.f64 (expm1.f64 z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y))) |
(/.f64 (*.f64 y (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (/.f64 1 (cbrt.f64 (expm1.f64 z)))) |
(/.f64 (*.f64 y (sqrt.f64 (expm1.f64 z))) (/.f64 1 (sqrt.f64 (expm1.f64 z)))) |
(/.f64 (*.f64 (expm1.f64 z) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))) |
(/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (+.f64 (exp.f64 z) 1)) |
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1)))) |
(/.f64 (*.f64 1 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (+.f64 (exp.f64 z) 1)) |
(/.f64 (*.f64 1 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
(/.f64 (*.f64 y (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (neg.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 y (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (neg.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (sqrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 (*.f64 y (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (cbrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 (*.f64 y (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) y) (neg.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) y) (neg.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) 1) (+.f64 (exp.f64 z) 1)) |
(/.f64 (*.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) 1) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (*.f64 y (sqrt.f64 (expm1.f64 z)))) (sqrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (*.f64 y (sqrt.f64 (expm1.f64 z)))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) 1) (+.f64 (exp.f64 z) 1)) |
(/.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (sqrt.f64 (+.f64 (exp.f64 z) 1))) (sqrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 z) 1)) (cbrt.f64 (+.f64 (exp.f64 z) 1)))) (cbrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) 1) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
(/.f64 (/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(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)) |
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) |
(exp.f64 (log.f64 (*.f64 (expm1.f64 z) y))) |
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) y))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 1/2 (pow.f64 z 2)) z) |
(fma.f64 1/2 (*.f64 z z) z) |
(+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3)))) |
(+.f64 (fma.f64 1/2 (*.f64 z z) z) (*.f64 1/6 (pow.f64 z 3))) |
(fma.f64 1/2 (*.f64 z z) (fma.f64 1/6 (pow.f64 z 3) z)) |
(+.f64 (*.f64 1/24 (pow.f64 z 4)) (+.f64 (*.f64 1/2 (pow.f64 z 2)) (+.f64 z (*.f64 1/6 (pow.f64 z 3))))) |
(fma.f64 1/24 (pow.f64 z 4) (+.f64 (fma.f64 1/2 (*.f64 z z) z) (*.f64 1/6 (pow.f64 z 3)))) |
(fma.f64 1/24 (pow.f64 z 4) (fma.f64 1/2 (*.f64 z z) (fma.f64 1/6 (pow.f64 z 3) z))) |
(/.f64 (*.f64 y z) t) |
(/.f64 y (/.f64 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 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t)) |
(fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 y (/.f64 t 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 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t))) |
(fma.f64 1/6 (*.f64 (/.f64 y t) (pow.f64 z 3)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 y (/.f64 t 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 (*.f64 (*.f64 1/2 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)) (fma.f64 1/2 (*.f64 (/.f64 y t) (*.f64 z z)) (/.f64 y (/.f64 t z))))) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 y z) (*.f64 1/2 (*.f64 y (pow.f64 z 2)))) |
(fma.f64 y z (*.f64 (*.f64 1/2 y) (*.f64 z z))) |
(fma.f64 z y (*.f64 (*.f64 (*.f64 1/2 z) z) y)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 z 2))) (*.f64 1/6 (*.f64 y (pow.f64 z 3))))) |
(fma.f64 y z (fma.f64 1/2 (*.f64 (*.f64 z z) y) (*.f64 1/6 (*.f64 (pow.f64 z 3) y)))) |
(fma.f64 z y (fma.f64 1/6 (*.f64 (pow.f64 z 3) y) (*.f64 (*.f64 (*.f64 1/2 z) z) y))) |
(+.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)))))) |
(fma.f64 y z (fma.f64 1/2 (*.f64 (*.f64 z z) y) (fma.f64 1/24 (*.f64 (pow.f64 z 4) y) (*.f64 1/6 (*.f64 (pow.f64 z 3) y))))) |
(fma.f64 z y (fma.f64 1/2 (*.f64 z (*.f64 z y)) (fma.f64 1/6 (*.f64 (pow.f64 z 3) y) (*.f64 (pow.f64 z 4) (*.f64 1/24 y))))) |
(+.f64 (exp.f64 z) -1) |
(+.f64 -1 (exp.f64 z)) |
(+.f64 (exp.f64 z) -1) |
(*.f64 1 (expm1.f64 z)) |
(expm1.f64 z) |
(*.f64 (expm1.f64 z) 1) |
(expm1.f64 z) |
(*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (expm1.f64 z))) |
(expm1.f64 z) |
(*.f64 (cbrt.f64 (expm1.f64 z)) (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (cbrt.f64 (expm1.f64 z))) |
(*.f64 (cbrt.f64 (expm1.f64 z)) (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) |
(*.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (/.f64 1 (+.f64 (exp.f64 z) 1))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1)) |
(/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1)) |
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
(/.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 (sqrt.f64 (exp.f64 z))) (-.f64 (sqrt.f64 (exp.f64 z)) 1)) |
(+.f64 (exp.f64 z) -1) |
(*.f64 (-.f64 (sqrt.f64 (exp.f64 z)) 1) (+.f64 1 (sqrt.f64 (exp.f64 z)))) |
(+.f64 (exp.f64 z) -1) |
(*.f64 (/.f64 1 (+.f64 (exp.f64 z) 1)) (+.f64 (pow.f64 (exp.f64 z) 2) -1)) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1)) |
(/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1)) |
(*.f64 (/.f64 1 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) (+.f64 -1 (pow.f64 (exp.f64 z) 3))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1))) |
(/.f64 1 (/.f64 1 (expm1.f64 z))) |
(expm1.f64 z) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1))) (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1))) |
(/.f64 (expm1.f64 z) 1) |
(expm1.f64 z) |
(/.f64 (sqrt.f64 (expm1.f64 z)) (/.f64 1 (sqrt.f64 (expm1.f64 z)))) |
(expm1.f64 z) |
(/.f64 (cbrt.f64 (expm1.f64 z)) (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)))) |
(*.f64 (cbrt.f64 (expm1.f64 z)) (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) |
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (/.f64 1 (cbrt.f64 (expm1.f64 z)))) |
(*.f64 (cbrt.f64 (expm1.f64 z)) (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (+.f64 (exp.f64 z) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1)) |
(/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1)) |
(/.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1) (/.f64 1 (/.f64 1 (+.f64 (exp.f64 z) 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1)) |
(/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1)) |
(/.f64 (+.f64 (exp.f64 z) 1) (/.f64 (+.f64 (exp.f64 z) 1) (expm1.f64 z))) |
(expm1.f64 z) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
(/.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 (pow.f64 (exp.f64 z) 3)) (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
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(*.f64 y (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)))) |
(/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (+.f64 (pow.f64 (exp.f64 z) 2) (-.f64 1 (*.f64 (exp.f64 z) -1)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) y) |
(*.f64 y (/.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 y (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (+.f64 (exp.f64 z) 1)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1)) y) |
(*.f64 y (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 1 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) y) |
(*.f64 y (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)))) |
(/.f64 (*.f64 y (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (neg.f64 (+.f64 (exp.f64 z) 1))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1)) y) |
(*.f64 y (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 y (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (neg.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) y) |
(*.f64 y (/.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 y (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (sqrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2))) (/.f64 (sqrt.f64 (+.f64 (exp.f64 z) 1)) (*.f64 y (sqrt.f64 (expm1.f64 z))))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1)) (sqrt.f64 (+.f64 (exp.f64 z) 1))) (*.f64 y (sqrt.f64 (expm1.f64 z)))) |
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (expm1.f64 z))) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 y (*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (sqrt.f64 (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)))) (*.f64 y (sqrt.f64 (expm1.f64 z)))) |
(/.f64 (*.f64 (*.f64 y (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1))) (cbrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 y (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (/.f64 (cbrt.f64 (+.f64 (exp.f64 z) 1)) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2))))) |
(*.f64 (/.f64 (*.f64 y (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (cbrt.f64 (+.f64 (exp.f64 z) 1))) (cbrt.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1))) |
(/.f64 (*.f64 (*.f64 y (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 y (cbrt.f64 (pow.f64 (expm1.f64 z) 2))) (/.f64 (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))))) |
(/.f64 y (/.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1))) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)))) (cbrt.f64 (pow.f64 (expm1.f64 z) 2)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) y) (neg.f64 (+.f64 (exp.f64 z) 1))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1)) y) |
(*.f64 y (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) y) (neg.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) y) |
(*.f64 y (/.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 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) 1) (+.f64 (exp.f64 z) 1)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1)) y) |
(*.f64 y (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1))) |
(/.f64 (*.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) 1) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) y) |
(*.f64 y (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (*.f64 y (sqrt.f64 (expm1.f64 z)))) (sqrt.f64 (+.f64 (exp.f64 z) 1))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2))) (/.f64 (sqrt.f64 (+.f64 (exp.f64 z) 1)) (*.f64 y (sqrt.f64 (expm1.f64 z))))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1)) (sqrt.f64 (+.f64 (exp.f64 z) 1))) (*.f64 y (sqrt.f64 (expm1.f64 z)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (*.f64 y (sqrt.f64 (expm1.f64 z)))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(/.f64 (*.f64 y (*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (sqrt.f64 (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)))) (*.f64 y (sqrt.f64 (expm1.f64 z)))) |
(/.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) 1) (+.f64 (exp.f64 z) 1)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1)) y) |
(*.f64 y (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1))) |
(/.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (sqrt.f64 (+.f64 (exp.f64 z) 1))) (sqrt.f64 (+.f64 (exp.f64 z) 1))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1)) y) |
(*.f64 y (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1))) |
(/.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 (exp.f64 z) 2) -1)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 z) 1)) (cbrt.f64 (+.f64 (exp.f64 z) 1)))) (cbrt.f64 (+.f64 (exp.f64 z) 1))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 2)) (+.f64 (exp.f64 z) 1)) y) |
(*.f64 y (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) -1) (+.f64 (exp.f64 z) 1))) |
(/.f64 (/.f64 (*.f64 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) 1) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) y) |
(*.f64 y (/.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 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) (sqrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) y) |
(*.f64 y (/.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 y (+.f64 -1 (pow.f64 (exp.f64 z) 3))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))))) (cbrt.f64 (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (+.f64 1 (pow.f64 (exp.f64 z) 2)))) y) |
(*.f64 y (/.f64 (+.f64 -1 (pow.f64 (exp.f64 z) 3)) (+.f64 (exp.f64 z) (fma.f64 (exp.f64 z) (exp.f64 z) 1)))) |
(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)) |
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (expm1.f64 z) 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)) |
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 y (expm1.f64 z)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) |
| ✓ | 0.1b | (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) |
| ✓ | 0.5b | (log.f64 (expm1.f64 z)) |
Compiled 39 to 10 computations (74.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 107.0ms | y | @ | 0 | (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) |
| 16.0ms | t | @ | 0 | (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) |
| 14.0ms | z | @ | inf | (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) |
| 14.0ms | z | @ | -inf | (log.f64 (expm1.f64 z)) |
| 12.0ms | z | @ | inf | (log.f64 (expm1.f64 z)) |
| 1× | batch-egg-rewrite |
| 1070× | *-commutative |
| 1044× | associate-*r/ |
| 810× | associate-/r* |
| 794× | associate-*l/ |
| 620× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 1 | 223 | 45 |
| 2 | 2960 | 45 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (expm1.f64 z)) |
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) |
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) |
| Outputs |
|---|
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(*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) t) (+.f64 (pow.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) 3) (pow.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) 3))) (+.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 (expm1.f64 z)) 2)) (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))) (*.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (log.f64 (*.f64 (expm1.f64 z) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t))))))) |
| 1× | egg-herbie |
| 1206× | associate-+r+ |
| 864× | associate-+l+ |
| 836× | +-commutative |
| 644× | associate-*r* |
| 540× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 438 | 8641 |
| 1 | 1119 | 8285 |
| 2 | 5678 | 8285 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 z) |
(+.f64 (log.f64 z) (*.f64 1/2 z)) |
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (+.f64 (log.f64 z) (*.f64 1/2 z))) |
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (+.f64 (log.f64 z) (+.f64 (*.f64 -1/2880 (pow.f64 z 4)) (*.f64 1/2 z)))) |
(log.f64 (-.f64 (exp.f64 z) 1)) |
(log.f64 (-.f64 (exp.f64 z) 1)) |
(log.f64 (-.f64 (exp.f64 z) 1)) |
(log.f64 (-.f64 (exp.f64 z) 1)) |
(log.f64 (-.f64 (exp.f64 z) 1)) |
(log.f64 (-.f64 (exp.f64 z) 1)) |
(log.f64 (-.f64 (exp.f64 z) 1)) |
(log.f64 (-.f64 (exp.f64 z) 1)) |
(+.f64 (log.f64 z) (log.f64 y)) |
(+.f64 (log.f64 z) (+.f64 (*.f64 1/2 z) (log.f64 y))) |
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (+.f64 (log.f64 z) (+.f64 (*.f64 1/2 z) (log.f64 y)))) |
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (+.f64 (log.f64 z) (+.f64 (*.f64 -1/2880 (pow.f64 z 4)) (+.f64 (*.f64 1/2 z) (log.f64 y))))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) |
(/.f64 (+.f64 (log.f64 z) (log.f64 y)) t) |
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 z) t) (*.f64 1/2 (/.f64 z t)))) |
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 z) t) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 z 2) t)) (*.f64 1/2 (/.f64 z t))))) |
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 z) t) (+.f64 (*.f64 -1/2880 (/.f64 (pow.f64 z 4) t)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 z 2) t)) (*.f64 1/2 (/.f64 z t)))))) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) 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)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 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)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) t) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) t) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) t) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(+.f64 (log.f64 (expm1.f64 z)) 0) |
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 z))) (log.f64 (sqrt.f64 (expm1.f64 z)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2)) (log.f64 (cbrt.f64 (expm1.f64 z)))) |
(+.f64 0 (log.f64 (expm1.f64 z))) |
(+.f64 (log.f64 (cbrt.f64 (expm1.f64 z))) (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (expm1.f64 z)))) (log.f64 (sqrt.f64 (expm1.f64 z)))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2))) (log.f64 (cbrt.f64 (expm1.f64 z)))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (expm1.f64 z)))) (*.f64 1 (log.f64 (sqrt.f64 (expm1.f64 z))))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (expm1.f64 z))))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 z))) 1) (*.f64 (log.f64 (sqrt.f64 (expm1.f64 z))) 1)) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 z)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 z))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (expm1.f64 z)))) 1) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (expm1.f64 z))))) 1) |
(*.f64 (log.f64 (expm1.f64 z)) 1) |
(*.f64 1 (log.f64 (expm1.f64 z))) |
(*.f64 (sqrt.f64 (log.f64 (expm1.f64 z))) (sqrt.f64 (log.f64 (expm1.f64 z)))) |
(*.f64 (cbrt.f64 (log.f64 (expm1.f64 z))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 z))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 z))) 2) (cbrt.f64 (log.f64 (expm1.f64 z)))) |
(*.f64 2 (log.f64 (sqrt.f64 (expm1.f64 z)))) |
(pow.f64 (log.f64 (expm1.f64 z)) 1) |
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 z))) 2) |
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 z))) 3) |
(pow.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 z)))) |
(exp.f64 (log.f64 (log.f64 (expm1.f64 z)))) |
(log1p.f64 (-.f64 (expm1.f64 z) 1)) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (expm1.f64 z)))) (-.f64 1 (log.f64 y))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (expm1.f64 z) y)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 y))) (-.f64 1 (log.f64 (expm1.f64 z)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (log.f64 (/.f64 (expm1.f64 z) y))) (/.f64 (pow.f64 (log.f64 y) 2) (log.f64 (/.f64 (expm1.f64 z) y)))) |
(-.f64 (+.f64 (log.f64 (expm1.f64 z)) (exp.f64 (log1p.f64 (log.f64 y)))) 1) |
(-.f64 (+.f64 (log.f64 y) (exp.f64 (log1p.f64 (log.f64 (expm1.f64 z))))) 1) |
(*.f64 (log.f64 (*.f64 (expm1.f64 z) y)) 1) |
(*.f64 1 (log.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2)) (/.f64 1 (log.f64 (/.f64 (expm1.f64 z) y)))) |
(*.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))))) |
(*.f64 (/.f64 1 (log.f64 (/.f64 (expm1.f64 z) y))) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))))) (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2)) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2))) (log.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2)) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3))) (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (expm1.f64 z) y))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) (-.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 (expm1.f64 z)) 2)) (*.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))))) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) (+.f64 (pow.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) 3) (pow.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) 3))) (+.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 (expm1.f64 z)) 2)) (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))) (*.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))))))) |
(/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) 1) |
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(*.f64 (/.f64 1 t) (log.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (neg.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (/.f64 -1 t)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t) (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t) (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) |
(*.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (/.f64 1 (sqrt.f64 t))) |
(*.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)) (/.f64 1 (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 -1 t) (neg.f64 (log.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 1) (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t)) (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t))) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) t) (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2))) (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2)) t) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2))) (log.f64 (*.f64 (expm1.f64 z) y))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2)) t) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3))) (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (expm1.f64 z) y))))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) t) (-.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 (expm1.f64 z)) 2)) (*.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))))) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) t) (+.f64 (pow.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) 3) (pow.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) 3))) (+.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 (expm1.f64 z)) 2)) (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))) (*.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))))))) |
(pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 3) 1/3) |
(pow.f64 (/.f64 t (log.f64 (*.f64 (expm1.f64 z) y))) -1) |
(neg.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 2)) |
(log.f64 (pow.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 t))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t))) |
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t))) |
| Outputs |
|---|
(log.f64 z) |
(+.f64 (log.f64 z) (*.f64 1/2 z)) |
(+.f64 (log.f64 z) (*.f64 z 1/2)) |
(fma.f64 z 1/2 (log.f64 z)) |
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (+.f64 (log.f64 z) (*.f64 1/2 z))) |
(fma.f64 1/24 (*.f64 z z) (+.f64 (log.f64 z) (*.f64 z 1/2))) |
(fma.f64 1/24 (*.f64 z z) (fma.f64 z 1/2 (log.f64 z))) |
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (+.f64 (log.f64 z) (+.f64 (*.f64 -1/2880 (pow.f64 z 4)) (*.f64 1/2 z)))) |
(fma.f64 1/24 (*.f64 z z) (+.f64 (log.f64 z) (fma.f64 -1/2880 (pow.f64 z 4) (*.f64 z 1/2)))) |
(+.f64 (fma.f64 1/24 (*.f64 z z) (fma.f64 z 1/2 (log.f64 z))) (*.f64 -1/2880 (pow.f64 z 4))) |
(log.f64 (-.f64 (exp.f64 z) 1)) |
(log.f64 (expm1.f64 z)) |
(log.f64 (-.f64 (exp.f64 z) 1)) |
(log.f64 (expm1.f64 z)) |
(log.f64 (-.f64 (exp.f64 z) 1)) |
(log.f64 (expm1.f64 z)) |
(log.f64 (-.f64 (exp.f64 z) 1)) |
(log.f64 (expm1.f64 z)) |
(log.f64 (-.f64 (exp.f64 z) 1)) |
(log.f64 (expm1.f64 z)) |
(log.f64 (-.f64 (exp.f64 z) 1)) |
(log.f64 (expm1.f64 z)) |
(log.f64 (-.f64 (exp.f64 z) 1)) |
(log.f64 (expm1.f64 z)) |
(log.f64 (-.f64 (exp.f64 z) 1)) |
(log.f64 (expm1.f64 z)) |
(+.f64 (log.f64 z) (log.f64 y)) |
(+.f64 (log.f64 z) (+.f64 (*.f64 1/2 z) (log.f64 y))) |
(+.f64 (log.f64 z) (fma.f64 1/2 z (log.f64 y))) |
(+.f64 (log.f64 z) (fma.f64 z 1/2 (log.f64 y))) |
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (+.f64 (log.f64 z) (+.f64 (*.f64 1/2 z) (log.f64 y)))) |
(fma.f64 1/24 (*.f64 z z) (+.f64 (log.f64 z) (fma.f64 1/2 z (log.f64 y)))) |
(+.f64 (fma.f64 1/24 (*.f64 z z) (fma.f64 z 1/2 (log.f64 z))) (log.f64 y)) |
(+.f64 (*.f64 1/24 (pow.f64 z 2)) (+.f64 (log.f64 z) (+.f64 (*.f64 -1/2880 (pow.f64 z 4)) (+.f64 (*.f64 1/2 z) (log.f64 y))))) |
(fma.f64 1/24 (*.f64 z z) (+.f64 (log.f64 z) (fma.f64 -1/2880 (pow.f64 z 4) (fma.f64 1/2 z (log.f64 y))))) |
(+.f64 (fma.f64 -1/2880 (pow.f64 z 4) (fma.f64 z 1/2 (log.f64 y))) (fma.f64 1/24 (*.f64 z z) (log.f64 z))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(log.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(log.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(log.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(log.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(log.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(log.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(log.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(log.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(log.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(log.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(log.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) |
(log.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(log.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(log.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(log.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) |
(log.f64 (*.f64 y (expm1.f64 z))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z)))) |
(-.f64 (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) |
(+.f64 (log.f64 -1) (-.f64 (log.f64 (expm1.f64 z)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z)))) |
(-.f64 (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) |
(+.f64 (log.f64 -1) (-.f64 (log.f64 (expm1.f64 z)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z)))) |
(-.f64 (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) |
(+.f64 (log.f64 -1) (-.f64 (log.f64 (expm1.f64 z)) (log.f64 (/.f64 -1 y)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) |
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z)))) |
(-.f64 (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) |
(+.f64 (log.f64 -1) (-.f64 (log.f64 (expm1.f64 z)) (log.f64 (/.f64 -1 y)))) |
(/.f64 (+.f64 (log.f64 z) (log.f64 y)) t) |
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 z) t) (*.f64 1/2 (/.f64 z t)))) |
(+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)) (*.f64 1/2 (/.f64 z t))) |
(+.f64 (/.f64 (log.f64 y) t) (fma.f64 1/2 (/.f64 z t) (/.f64 (log.f64 z) t))) |
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 z) t) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 z 2) t)) (*.f64 1/2 (/.f64 z t))))) |
(+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)) (fma.f64 1/24 (/.f64 (*.f64 z z) t) (*.f64 1/2 (/.f64 z t)))) |
(+.f64 (/.f64 (log.f64 z) t) (+.f64 (fma.f64 1/2 (/.f64 z t) (/.f64 (*.f64 z z) (/.f64 t 1/24))) (/.f64 (log.f64 y) t))) |
(+.f64 (/.f64 (log.f64 z) t) (+.f64 (/.f64 (log.f64 y) t) (fma.f64 1/2 (/.f64 z t) (/.f64 (*.f64 z z) (/.f64 t 1/24))))) |
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 (log.f64 z) t) (+.f64 (*.f64 -1/2880 (/.f64 (pow.f64 z 4) t)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 z 2) t)) (*.f64 1/2 (/.f64 z t)))))) |
(+.f64 (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)) (fma.f64 -1/2880 (/.f64 (pow.f64 z 4) t) (fma.f64 1/24 (/.f64 (*.f64 z z) t) (*.f64 1/2 (/.f64 z t))))) |
(+.f64 (fma.f64 -1/2880 (/.f64 (pow.f64 z 4) t) (fma.f64 1/2 (/.f64 z t) (/.f64 (*.f64 z z) (/.f64 t 1/24)))) (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t))) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 y)) t) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) t) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z)))) t) |
(/.f64 (-.f64 (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) |
(/.f64 (+.f64 (log.f64 -1) (-.f64 (log.f64 (expm1.f64 z)) (log.f64 (/.f64 -1 y)))) t) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) t) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z)))) t) |
(/.f64 (-.f64 (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) |
(/.f64 (+.f64 (log.f64 -1) (-.f64 (log.f64 (expm1.f64 z)) (log.f64 (/.f64 -1 y)))) t) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (log.f64 -1))) t) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z)))) t) |
(/.f64 (-.f64 (+.f64 (log.f64 -1) (log.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t) |
(/.f64 (+.f64 (log.f64 -1) (-.f64 (log.f64 (expm1.f64 z)) (log.f64 (/.f64 -1 y)))) t) |
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t)) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(*.f64 (/.f64 1 t) (log.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(*.f64 (neg.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (/.f64 -1 t)) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t) (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y)))) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t) (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 1)) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2)) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) 1)) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) |
(/.f64 (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) |
(/.f64 (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2)) |
(*.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)) (/.f64 1 (sqrt.f64 t))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) |
(/.f64 (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t)) |
(*.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (cbrt.f64 t)) (/.f64 1 (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) |
(/.f64 (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2)) |
(*.f64 (/.f64 -1 t) (neg.f64 (log.f64 (*.f64 (expm1.f64 z) y)))) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 1) (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t)) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) |
(/.f64 (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (cbrt.f64 t)) (/.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 (cbrt.f64 t) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t))) |
(/.f64 (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) t)) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) |
(/.f64 (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t)) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) (sqrt.f64 t)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) (sqrt.f64 t))) |
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t))) |
(/.f64 (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2) t) (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y)))) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(*.f64 (/.f64 1 (/.f64 t (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y))) 2))) (cbrt.f64 (log.f64 (*.f64 (expm1.f64 z) y)))) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2)) t) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2))) (log.f64 (*.f64 (expm1.f64 z) y))) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2)) t) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3))) (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 (expm1.f64 z) y))))) |
(*.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (log.f64 (*.f64 y (expm1.f64 z))))) (/.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2)) (*.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) t))) |
(*.f64 (fma.f64 (log.f64 y) (log.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (log.f64 (expm1.f64 z)) 2)) (/.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 y) 2)) (*.f64 t (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3))))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) t) (-.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 (expm1.f64 z)) 2)) (*.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))))) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))) (/.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) (*.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 4) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))))) t))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))) (/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) t) (-.f64 (pow.f64 (log.f64 (expm1.f64 z)) 4) (*.f64 (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (pow.f64 (log.f64 y) 2)))))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) t) (+.f64 (pow.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) 3) (pow.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) 3))) (+.f64 (*.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (pow.f64 (log.f64 (expm1.f64 z)) 2)) (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z))))) (*.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))))))) |
(*.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 4) (*.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (-.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (pow.f64 (log.f64 (expm1.f64 z)) 2)))) (/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) t) (+.f64 (pow.f64 (pow.f64 (log.f64 (expm1.f64 z)) 2) 3) (pow.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) 3)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (-.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (pow.f64 (log.f64 (expm1.f64 z)) 2)) (pow.f64 (log.f64 (expm1.f64 z)) 4)) (/.f64 (+.f64 (pow.f64 (log.f64 (expm1.f64 z)) 3) (pow.f64 (log.f64 y) 3)) t)) (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) 3) (pow.f64 (log.f64 (expm1.f64 z)) 6))) |
(pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 1) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)) 2) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)) 3) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 3) 1/3) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(pow.f64 (/.f64 t (log.f64 (*.f64 (expm1.f64 z) y))) -1) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(neg.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) 2)) |
(fabs.f64 (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t)) |
(log.f64 (pow.f64 (*.f64 (expm1.f64 z) y) (/.f64 1 t))) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t)))) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t) 3)) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t))) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t))) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 (expm1.f64 z) y)) t))) |
(/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t) |
Compiled 33469 to 16222 computations (51.5% saved)
25 alts after pruning (18 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1293 | 10 | 1303 |
| Fresh | 4 | 8 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 7 | 11 |
| Total | 1302 | 25 | 1327 |
| Status | Error | Program |
|---|---|---|
| 26.1b | (-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) | |
| ✓ | 1.7b | (-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)) |
| 11.9b | (-.f64 x (/.f64 (/.f64 (expm1.f64 z) (/.f64 1 y)) t)) | |
| 18.7b | (-.f64 x (/.f64 (/.f64 z (/.f64 1 y)) t)) | |
| 20.1b | (-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z))) | |
| 19.0b | (-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 z y)))) | |
| 9.5b | (-.f64 x (/.f64 (/.f64 1 t) (+.f64 1/2 (/.f64 1 (*.f64 (expm1.f64 z) y))))) | |
| 54.4b | (-.f64 x (/.f64 (+.f64 (+.f64 (log.f64 z) (*.f64 z 1/2)) (log.f64 y)) t)) | |
| 18.3b | (-.f64 x (/.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) (/.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) (*.f64 (/.f64 z t) y)))) | |
| 54.4b | (-.f64 x (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t)) | |
| ✓ | 11.9b | (-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
| 21.8b | (-.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 z (*.f64 y 1/2)) y)) t)) | |
| 18.7b | (-.f64 x (/.f64 (*.f64 z y) t)) | |
| ✓ | 1.3b | (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
| 20.0b | (-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) | |
| ✓ | 5.8b | (-.f64 x (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t)) |
| ✓ | 18.1b | (-.f64 x (/.f64 y (/.f64 t z))) |
| ✓ | 1.3b | (-.f64 x (/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
| 9.3b | (-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) | |
| 20.2b | (-.f64 x (-.f64 (-.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) 1) 1)) | |
| 20.3b | (-.f64 x (-.f64 1 1)) | |
| 22.0b | (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t))) | |
| ✓ | 18.3b | (-.f64 x (*.f64 (/.f64 z t) y)) |
| 19.0b | (-.f64 x (*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))) | |
| 20.3b | (-.f64 x (*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3)) y)) |
Compiled 378 to 263 computations (30.4% saved)
| Inputs |
|---|
(-.f64 x (-.f64 1 1)) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (*.f64 (/.f64 z t) y)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z))) |
(-.f64 x (/.f64 (/.f64 z (/.f64 1 y)) t)) |
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))) |
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)) |
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1)) |
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 z y)))) |
(-.f64 x (-.f64 (-.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) 1) 1)) |
(-.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 z (*.f64 y 1/2)) y)) t)) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t))) |
(-.f64 x (/.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) (/.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) (*.f64 (/.f64 z t) y)))) |
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 (/.f64 (expm1.f64 z) (/.f64 1 y)) t)) |
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 (expm1.f64 z) y)))) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) |
(-.f64 x (/.f64 (/.f64 1 t) (+.f64 1/2 (/.f64 1 (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 (fma.f64 z y (*.f64 1/2 (*.f64 z (*.f64 z (-.f64 y (*.f64 y y)))))) t)) |
(-.f64 x (fma.f64 1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 z z) t)) (*.f64 (/.f64 z t) y))) |
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(-.f64 x (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t)) |
(-.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)))))) |
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
(-.f64 x (/.f64 (+.f64 (+.f64 (log.f64 z) (*.f64 z 1/2)) (log.f64 y)) t)) |
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))) |
(-.f64 x (pow.f64 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)) -1)) |
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) |
(-.f64 x (*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3)) y)) |
(-.f64 x (pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) -1)) |
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) t)) |
(-.f64 x (/.f64 (exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)) |
(-.f64 x (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)) t)) |
(-.f64 x (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)) |
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) |
(-.f64 x (*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (sqrt.f64 t)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
9 calls:
| 21.0ms | y |
| 21.0ms | t |
| 20.0ms | z |
| 19.0ms | x |
| 15.0ms | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 1 | x |
| 1.3b | 1 | y |
| 1.3b | 1 | z |
| 1.3b | 1 | t |
| 1.3b | 1 | (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)) |
| 1.3b | 1 | (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t) |
| 1.3b | 1 | (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) |
| 1.3b | 1 | (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))) |
| 1.3b | 1 | (exp.f64 z) |
Compiled 612 to 301 computations (50.8% saved)
| Inputs |
|---|
(-.f64 x (-.f64 1 1)) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (*.f64 (/.f64 z t) y)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z))) |
(-.f64 x (/.f64 (/.f64 z (/.f64 1 y)) t)) |
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))) |
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)) |
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1)) |
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 z y)))) |
(-.f64 x (-.f64 (-.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) 1) 1)) |
(-.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 z (*.f64 y 1/2)) y)) t)) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t))) |
(-.f64 x (/.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) (/.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) (*.f64 (/.f64 z t) y)))) |
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 (/.f64 (expm1.f64 z) (/.f64 1 y)) t)) |
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 (expm1.f64 z) y)))) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) |
(-.f64 x (/.f64 (/.f64 1 t) (+.f64 1/2 (/.f64 1 (*.f64 (expm1.f64 z) y))))) |
(-.f64 x (/.f64 (fma.f64 z y (*.f64 1/2 (*.f64 z (*.f64 z (-.f64 y (*.f64 y y)))))) t)) |
(-.f64 x (fma.f64 1/2 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 (*.f64 z z) t)) (*.f64 (/.f64 z t) y))) |
| Outputs |
|---|
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) |
5 calls:
| 15.0ms | z |
| 13.0ms | x |
| 13.0ms | t |
| 13.0ms | y |
| 3.0ms | (exp.f64 z) |
| Error | Segments | Branch |
|---|---|---|
| 9.3b | 1 | x |
| 9.3b | 1 | y |
| 9.3b | 1 | z |
| 9.3b | 1 | t |
| 9.3b | 1 | (exp.f64 z) |
Compiled 356 to 176 computations (50.6% saved)
| Inputs |
|---|
(-.f64 x (-.f64 1 1)) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (*.f64 (/.f64 z t) y)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z))) |
(-.f64 x (/.f64 (/.f64 z (/.f64 1 y)) t)) |
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))) |
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)) |
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1)) |
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 z y)))) |
(-.f64 x (-.f64 (-.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) 1) 1)) |
(-.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 z (*.f64 y 1/2)) y)) t)) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t))) |
(-.f64 x (/.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) (/.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) (*.f64 (/.f64 z t) y)))) |
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t)) |
(-.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 z) 1) y) t)) |
(-.f64 x (/.f64 (/.f64 (expm1.f64 z) (/.f64 1 y)) t)) |
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 (expm1.f64 z) y)))) |
| Outputs |
|---|
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) |
5 calls:
| 24.0ms | (exp.f64 z) |
| 12.0ms | t |
| 12.0ms | y |
| 12.0ms | x |
| 11.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 11.2b | 1 | x |
| 11.2b | 1 | y |
| 11.2b | 1 | z |
| 11.2b | 1 | t |
| 11.2b | 1 | (exp.f64 z) |
Compiled 290 to 147 computations (49.3% saved)
| Inputs |
|---|
(-.f64 x (-.f64 1 1)) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (*.f64 (/.f64 z t) y)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z))) |
(-.f64 x (/.f64 (/.f64 z (/.f64 1 y)) t)) |
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))) |
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)) |
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1)) |
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 z y)))) |
(-.f64 x (-.f64 (-.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) 1) 1)) |
(-.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 z (*.f64 y 1/2)) y)) t)) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (/.f64 (*.f64 (*.f64 1/2 y) (*.f64 z z)) t))) |
(-.f64 x (/.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) (/.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) (*.f64 (/.f64 z t) y)))) |
| Outputs |
|---|
(-.f64 x (-.f64 1 1)) |
(-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t)))) |
4 calls:
| 59.0ms | x |
| 43.0ms | t |
| 26.0ms | y |
| 26.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 16.8b | 2 | x |
| 16.7b | 2 | y |
| 13.4b | 2 | z |
| 14.7b | 4 | t |
Compiled 236 to 118 computations (50% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | -5.919621356696623e-5 | -1.4568598192670367e-5 |
| 12.0ms | 73× | body | 256 | valid |
| 8.0ms | 14× | body | 1024 | valid |
| 3.0ms | 9× | body | 512 | valid |
| 3.0ms | 23× | body | 256 | invalid |
Compiled 216 to 156 computations (27.8% saved)
| Inputs |
|---|
(-.f64 x (-.f64 1 1)) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (*.f64 (/.f64 z t) y)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
(-.f64 x (/.f64 z (/.f64 t y))) |
(-.f64 x (/.f64 (*.f64 z y) t)) |
(-.f64 x (*.f64 (/.f64 1 t) (*.f64 z y))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z)))) |
(-.f64 x (/.f64 1 (/.f64 t (*.f64 z y)))) |
(-.f64 x (/.f64 (/.f64 y t) (/.f64 1 z))) |
(-.f64 x (/.f64 (/.f64 z (/.f64 1 y)) t)) |
(-.f64 x (*.f64 (/.f64 1 t) (/.f64 y (/.f64 1 z)))) |
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 y t) z)) 1)) |
(-.f64 x (-.f64 (+.f64 1 (*.f64 (/.f64 z t) y)) 1)) |
(-.f64 x (/.f64 (/.f64 1 t) (/.f64 1 (*.f64 z y)))) |
(-.f64 x (-.f64 (-.f64 (+.f64 (*.f64 (/.f64 z t) y) 2) 1) 1)) |
(-.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 z (*.f64 y 1/2)) y)) t)) |
| Outputs |
|---|
(-.f64 x (-.f64 1 1)) |
(-.f64 x (/.f64 y (/.f64 t z))) |
4 calls:
| 61.0ms | y |
| 55.0ms | t |
| 16.0ms | x |
| 16.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 16.8b | 2 | x |
| 16.7b | 2 | y |
| 13.5b | 2 | z |
| 14.7b | 4 | t |
Compiled 179 to 98 computations (45.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | -5.919621356696623e-5 | -1.4568598192670367e-5 |
| 15.0ms | 79× | body | 256 | valid |
| 7.0ms | 12× | body | 1024 | valid |
| 2.0ms | 15× | body | 256 | invalid |
| 1.0ms | 5× | body | 512 | valid |
Compiled 156 to 120 computations (23.1% saved)
| Inputs |
|---|
(-.f64 x (-.f64 1 1)) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (*.f64 (/.f64 z t) y)) |
| Outputs |
|---|
(-.f64 x (-.f64 1 1)) |
(-.f64 x (*.f64 (/.f64 z t) y)) |
4 calls:
| 16.0ms | t |
| 10.0ms | x |
| 10.0ms | y |
| 7.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 16.0b | 3 | x |
| 17.0b | 2 | y |
| 13.5b | 2 | z |
| 14.2b | 5 | t |
Compiled 43 to 30 computations (30.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 28.0ms | -5.919621356696623e-5 | -1.4568598192670367e-5 |
| 15.0ms | 73× | body | 256 | valid |
| 6.0ms | 12× | body | 1024 | valid |
| 4.0ms | 11× | body | 512 | valid |
| 2.0ms | 14× | body | 256 | invalid |
Compiled 156 to 120 computations (23.1% saved)
Total -9.6b remaining (-60%)
Threshold costs -9.6b (-60%)
| Inputs |
|---|
(-.f64 x (-.f64 1 1)) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
| Outputs |
|---|
(-.f64 x (-.f64 1 1)) |
(-.f64 x (*.f64 (/.f64 y t) z)) |
(-.f64 x (-.f64 1 1)) |
4 calls:
| 11.0ms | t |
| 8.0ms | x |
| 8.0ms | y |
| 5.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 16.0b | 3 | x |
| 17.6b | 2 | y |
| 16.0b | 2 | z |
| 16.7b | 4 | t |
Compiled 36 to 27 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 1.1248387440978745e-184 | 9.515741425940219e-181 |
| 21.0ms | -1.2539398217134774e-222 | -1.0252860812723347e-222 |
| 28.0ms | 50× | body | 1024 | valid |
| 21.0ms | 19× | body | 2048 | valid |
| 12.0ms | 39× | body | 512 | valid |
| 11.0ms | 68× | body | 256 | valid |
Compiled 266 to 205 computations (22.9% saved)
| 1× | egg-herbie |
| 62× | +-commutative |
| 56× | *-commutative |
| 40× | sub-neg |
| 36× | neg-mul-1 |
| 36× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 248 |
| 1 | 105 | 248 |
| 2 | 160 | 248 |
| 3 | 199 | 248 |
| 4 | 223 | 248 |
| 5 | 237 | 248 |
| 6 | 244 | 248 |
| 7 | 247 | 248 |
| 8 | 248 | 248 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) |
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(if (<=.f64 z -2176715800697727/36893488147419103232) (-.f64 x (-.f64 1 1)) (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))))) |
(if (<=.f64 z -3172839980678043/73786976294838206464) (-.f64 x (-.f64 1 1)) (-.f64 x (/.f64 y (/.f64 t z)))) |
(if (<=.f64 z -1438846037749345/36893488147419103232) (-.f64 x (-.f64 1 1)) (-.f64 x (*.f64 (/.f64 z t) y))) |
(if (<=.f64 x -7293140785962341/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (-.f64 x (-.f64 1 1)) (if (<=.f64 x 1751977197166923/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (-.f64 x (*.f64 (/.f64 y t) z)) (-.f64 x (-.f64 1 1)))) |
(-.f64 x (-.f64 1 1)) |
| Outputs |
|---|
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) (*.f64 t 1/2)))) |
(-.f64 x (/.f64 1 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 t 1/2)))) |
(+.f64 x (/.f64 -1 (+.f64 (/.f64 t (*.f64 y (expm1.f64 z))) (*.f64 t 1/2)))) |
(-.f64 x (*.f64 (/.f64 (expm1.f64 z) t) y)) |
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) |
(if (<=.f64 z -2176715800697727/36893488147419103232) (-.f64 x (-.f64 1 1)) (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))))) |
(if (<=.f64 z -2176715800697727/36893488147419103232) x (-.f64 x (+.f64 (/.f64 y (/.f64 t z)) (*.f64 1/2 (/.f64 (*.f64 y (*.f64 z z)) t))))) |
(if (<=.f64 z -2176715800697727/36893488147419103232) x (+.f64 x (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 z z)) t) -1/2) (/.f64 y (/.f64 t z))))) |
(if (<=.f64 z -3172839980678043/73786976294838206464) (-.f64 x (-.f64 1 1)) (-.f64 x (/.f64 y (/.f64 t z)))) |
(if (<=.f64 z -3172839980678043/73786976294838206464) x (-.f64 x (/.f64 y (/.f64 t z)))) |
(if (<=.f64 z -1438846037749345/36893488147419103232) (-.f64 x (-.f64 1 1)) (-.f64 x (*.f64 (/.f64 z t) y))) |
(if (<=.f64 z -1438846037749345/36893488147419103232) x (-.f64 x (*.f64 y (/.f64 z t)))) |
(if (<=.f64 x -7293140785962341/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (-.f64 x (-.f64 1 1)) (if (<=.f64 x 1751977197166923/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (-.f64 x (*.f64 (/.f64 y t) z)) (-.f64 x (-.f64 1 1)))) |
(if (<=.f64 x -7293140785962341/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) x (if (<=.f64 x 1751977197166923/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (-.f64 x (*.f64 z (/.f64 y t))) x)) |
(-.f64 x (-.f64 1 1)) |
x |
Compiled 127 to 83 computations (34.6% 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 92 to 52 computations (43.5% saved)
Compiled 99 to 50 computations (49.5% saved)
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