Time bar (total: 10.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 50% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 50% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 50% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 75% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 75% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 75% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 87.5% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 87.5% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 87.5% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 93.8% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 37 to 28 computations (24.3% saved)
| 2.2s | 8256× | body | 256 | valid |
| 1.0ms | 6× | body | 256 | precondition |
| 2× | egg-herbie |
| 60× | +-commutative |
| 48× | fma-def |
| 42× | sub-neg |
| 30× | associate-+l- |
| 26× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 132 |
| 1 | 42 | 132 |
| 2 | 52 | 132 |
| 3 | 69 | 132 |
| 4 | 86 | 132 |
| 5 | 112 | 132 |
| 6 | 158 | 132 |
| 7 | 199 | 132 |
| 8 | 237 | 132 |
| 9 | 246 | 132 |
| 10 | 249 | 132 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 cosTheta_i))) |
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (*.f32 314159265359/50000000000 u1))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 cosTheta_i))) |
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (*.f32 314159265359/50000000000 u1))) |
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (*.f32 u1 314159265359/50000000000))) |
Compiled 17 to 14 computations (17.6% saved)
| 1× | egg-herbie |
| 18× | +-commutative |
| 14× | sub-neg |
| 12× | fma-def |
| 10× | associate-+l- |
| 8× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 33 |
| 1 | 19 | 33 |
| 2 | 23 | 33 |
| 3 | 30 | 33 |
| 4 | 37 | 33 |
| 5 | 47 | 33 |
| 6 | 65 | 33 |
| 7 | 81 | 33 |
| 8 | 92 | 33 |
| 9 | 95 | 33 |
| 10 | 96 | 33 |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
Compiled 14 to 11 computations (21.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
Compiled 14 to 11 computations (21.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (cos.f32 (*.f32 314159265359/50000000000 u2)) |
| ✓ | 0.1b | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
| ✓ | 0.2b | (/.f32 u1 (-.f32 1 u1)) |
| ✓ | 0.3b | (*.f32 314159265359/50000000000 u2) |
Compiled 39 to 27 computations (30.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | u1 | @ | 0 | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
| 0.0ms | u1 | @ | inf | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
| 0.0ms | u2 | @ | -inf | (*.f32 314159265359/50000000000 u2) |
| 0.0ms | u2 | @ | inf | (*.f32 314159265359/50000000000 u2) |
| 0.0ms | u1 | @ | -inf | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
| 1× | batch-egg-rewrite |
| 1112× | associate-*r/ |
| 1050× | *-commutative |
| 840× | associate-/r* |
| 800× | associate-*l/ |
| 658× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 1 | 245 | 48 |
| 2 | 3020 | 48 |
| 1× | node limit |
| Inputs |
|---|
(*.f32 314159265359/50000000000 u2) |
(/.f32 u1 (-.f32 1 u1)) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(cos.f32 (*.f32 314159265359/50000000000 u2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 314159265359/50000000000 u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 1) (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) 1) (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (fma.f32 u1 u1 u1)) (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (*.f32 u1 u1))) (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))) (*.f32 1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))) (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (*.f32 1 (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 1 (*.f32 u1 u1)) (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (*.f32 u1 (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u1 (/.f32 -1 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 u1 1) (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 u1) (/.f32 1 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (+.f32 -1 u1)) u1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (/.f32 u1 (-.f32 1 (pow.f32 u1 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1)) (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1)) (/.f32 (sqrt.f32 u1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)) (pow.f32 (cbrt.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)) (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 1) (/.f32 -1 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1))) (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) (+.f32 u1 (*.f32 (fma.f32 u1 u1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 -1 u1)) (neg.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 u1 1) 1) (/.f32 -1 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (-.f32 1 u1)) (cbrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (neg.f32 (-.f32 1 (*.f32 u1 u1)))) (neg.f32 (+.f32 u1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (neg.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (-.f32 1 (*.f32 (neg.f32 u1) (neg.f32 u1)))) (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (+.f32 1 (pow.f32 (neg.f32 u1) 3))) (-.f32 (+.f32 1 (*.f32 (neg.f32 u1) (neg.f32 u1))) (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 (-.f32 1 u1) (pow.f32 (cbrt.f32 u1) 2))) (cbrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (neg.f32 u1) (neg.f32 (-.f32 1 (*.f32 u1 u1)))) (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (neg.f32 u1) (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (+.f32 1 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 u1 1) (neg.f32 (-.f32 1 (*.f32 u1 u1)))) (neg.f32 (+.f32 u1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 u1 1) (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (neg.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 u1 1) (-.f32 1 (*.f32 (neg.f32 u1) (neg.f32 u1)))) (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 u1 1) (+.f32 1 (pow.f32 (neg.f32 u1) 3))) (-.f32 (+.f32 1 (*.f32 (neg.f32 u1) (neg.f32 u1))) (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 (pow.f32 u1 3)))) (cbrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 (*.f32 u1 u1)))) (cbrt.f32 (+.f32 u1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 1 u1) u1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 u1 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 -1 (+.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (pow.f32 (/.f32 -1 (+.f32 -1 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 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u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (neg.f32 u1))) (cbrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 1 1/2) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 1 1/2) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 1 1/2) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) 1) (sqrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) 1) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (sqrt.f32 u1)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 u1) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) |
| 1× | egg-herbie |
| 1380× | associate-/r* |
| 1254× | associate-*r/ |
| 1186× | distribute-lft-in |
| 922× | associate-*l/ |
| 418× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 446 | 5455 |
| 1 | 1108 | 5047 |
| 2 | 3600 | 5045 |
| 1× | node limit |
| Inputs |
|---|
u1 |
(+.f32 (pow.f32 u1 2) u1) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1)) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1))) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
(sqrt.f32 -1) |
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
1 |
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) |
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))) |
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))) |
(-.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1) |
(pow.f32 (*.f32 314159265359/50000000000 u2) 1) |
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2) |
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3) |
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3) |
(sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) |
(log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)) |
(log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2)))) |
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3)) |
(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) |
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2))) |
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))) |
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 1)) |
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 1) (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1)) |
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) 1) (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (fma.f32 u1 u1 u1))) |
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (fma.f32 u1 u1 u1)) (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) 1)) |
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (*.f32 u1 u1))) (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) u1)) |
(+.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))) (*.f32 1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) |
(+.f32 (*.f32 1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))) (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) |
(+.f32 (*.f32 1 (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 1 (pow.f32 u1 3))))) |
(+.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (*.f32 1 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))))) |
(+.f32 (*.f32 (+.f32 1 (*.f32 u1 u1)) (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (*.f32 u1 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))))) |
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1) |
(*.f32 u1 (/.f32 -1 (+.f32 -1 u1))) |
(*.f32 1 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))) |
(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1))) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (cbrt.f32 u1) (-.f32 1 u1))) |
(*.f32 (+.f32 u1 1) (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))) |
(*.f32 (neg.f32 u1) (/.f32 1 (+.f32 -1 u1))) |
(*.f32 (/.f32 -1 (+.f32 -1 u1)) u1) |
(*.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1)) (sqrt.f32 u1)) |
(*.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1)) (/.f32 (sqrt.f32 u1) 1)) |
(*.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)) (pow.f32 (cbrt.f32 u1) 2)) |
(*.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)) (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1)) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (/.f32 u1 1) (/.f32 -1 (+.f32 -1 u1))) |
(*.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 u1 (cbrt.f32 (-.f32 1 u1)))) |
(*.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1))) (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) |
(*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1)) |
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1))) |
(*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1)) |
(*.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) (+.f32 u1 (*.f32 (fma.f32 u1 u1 u1) u1))) |
(*.f32 (/.f32 1 (+.f32 -1 u1)) (neg.f32 u1)) |
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1))) |
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (/.f32 (/.f32 u1 1) 1) (/.f32 -1 (+.f32 -1 u1))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (-.f32 1 u1)) (cbrt.f32 u1)) |
(*.f32 (/.f32 u1 (neg.f32 (-.f32 1 (*.f32 u1 u1)))) (neg.f32 (+.f32 u1 1))) |
(*.f32 (/.f32 u1 (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (neg.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) |
(*.f32 (/.f32 u1 (-.f32 1 (*.f32 (neg.f32 u1) (neg.f32 u1)))) (+.f32 u1 1)) |
(*.f32 (/.f32 u1 (+.f32 1 (pow.f32 (neg.f32 u1) 3))) (-.f32 (+.f32 1 (*.f32 (neg.f32 u1) (neg.f32 u1))) (neg.f32 u1))) |
(*.f32 (/.f32 1 (/.f32 (-.f32 1 u1) (pow.f32 (cbrt.f32 u1) 2))) (cbrt.f32 u1)) |
(*.f32 (/.f32 (neg.f32 u1) (neg.f32 (-.f32 1 (*.f32 u1 u1)))) (+.f32 u1 1)) |
(*.f32 (/.f32 (neg.f32 u1) (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (+.f32 1 (fma.f32 u1 u1 u1))) |
(*.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) |
(*.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 1))) |
(*.f32 (/.f32 (/.f32 u1 1) (neg.f32 (-.f32 1 (*.f32 u1 u1)))) (neg.f32 (+.f32 u1 1))) |
(*.f32 (/.f32 (/.f32 u1 1) (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (neg.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) |
(*.f32 (/.f32 (/.f32 u1 1) (-.f32 1 (*.f32 (neg.f32 u1) (neg.f32 u1)))) (+.f32 u1 1)) |
(*.f32 (/.f32 (/.f32 u1 1) (+.f32 1 (pow.f32 (neg.f32 u1) 3))) (-.f32 (+.f32 1 (*.f32 (neg.f32 u1) (neg.f32 u1))) (neg.f32 u1))) |
(*.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 (pow.f32 u1 3)))) (cbrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) |
(*.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 (*.f32 u1 u1)))) (cbrt.f32 (+.f32 u1 1))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1) |
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) |
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/2) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3) |
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1) |
(neg.f32 (/.f32 u1 (+.f32 -1 u1))) |
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2)) |
(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) |
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) |
(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) |
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) |
(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) |
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 1 1/2)) |
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 -1 (+.f32 -1 u1)))) |
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 -1 (+.f32 -1 u1)) 1/2)) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (sqrt.f32 (/.f32 -1 (+.f32 -1 u1))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) |
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1)) |
(*.f32 (pow.f32 (/.f32 -1 (+.f32 -1 u1)) 1/2) (sqrt.f32 u1)) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2)) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 1))) |
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) |
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1))) |
(/.f32 (cbrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 u1)))) |
(/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (cbrt.f32 u1)))) |
(/.f32 (sqrt.f32 (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (sqrt.f32 u1)))) |
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1))) |
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (/.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (*.f32 1 (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1))) |
(/.f32 (*.f32 1 (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (neg.f32 u1))) (cbrt.f32 (+.f32 -1 u1))) |
(/.f32 (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) |
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))) |
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1))) |
(/.f32 (*.f32 (pow.f32 1 1/2) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) 1) (sqrt.f32 (+.f32 -1 u1))) |
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) 1) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 u1)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (*.f32 (cbrt.f32 u1) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (+.f32 -1 u1))) |
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) |
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) |
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) |
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) |
(*.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) |
(*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) |
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) |
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) |
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3) |
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) |
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) |
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
| Outputs |
|---|
u1 |
(+.f32 (pow.f32 u1 2) u1) |
(fma.f32 u1 u1 u1) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1)) |
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3))) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1))) |
(+.f32 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4)) (+.f32 u1 (pow.f32 u1 3))) |
(+.f32 (pow.f32 u1 4) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(+.f32 -1 (neg.f32 (/.f32 1 u1))) |
(+.f32 -1 (/.f32 -1 u1)) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))) |
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))) |
(+.f32 -1 (-.f32 (/.f32 -1 u1) (/.f32 1 (*.f32 u1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
(+.f32 -1 (neg.f32 (+.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 u1)))) |
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))) |
(+.f32 -1 (-.f32 (-.f32 (/.f32 -1 u1) (/.f32 1 (*.f32 u1 u1))) (/.f32 1 (pow.f32 u1 3)))) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(+.f32 -1 (neg.f32 (/.f32 1 u1))) |
(+.f32 -1 (/.f32 -1 u1)) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))) |
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))) |
(+.f32 -1 (-.f32 (/.f32 -1 u1) (/.f32 1 (*.f32 u1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
(+.f32 -1 (neg.f32 (+.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 u1)))) |
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))) |
(+.f32 -1 (-.f32 (-.f32 (/.f32 -1 u1) (/.f32 1 (*.f32 u1 u1))) (/.f32 1 (pow.f32 u1 3)))) |
(sqrt.f32 -1) |
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1)))) |
(-.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 u1) (sqrt.f32 -1))) |
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (*.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1)))) |
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1 |
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(*.f32 (/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 u1)) |
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (neg.f32 u1))) (cbrt.f32 (+.f32 -1 u1))) |
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (+.f32 u1 -1)) (cbrt.f32 (neg.f32 u1)))) |
(*.f32 (/.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (+.f32 u1 -1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(/.f32 (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1)))) |
(*.f32 (/.f32 (cbrt.f32 (sqrt.f32 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) |
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) |
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) |
(/.f32 1 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) |
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))) |
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1))) |
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1))) |
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 -1))) |
(/.f32 (*.f32 (pow.f32 1 1/2) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) 1) (sqrt.f32 (+.f32 -1 u1))) |
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 -1))) |
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) 1) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (/.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (sqrt.f32 u1)))) |
(*.f32 (/.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) |
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 u1)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1)))) |
(*.f32 (/.f32 (cbrt.f32 (sqrt.f32 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(/.f32 (*.f32 (cbrt.f32 u1) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (-.f32 1 u1))) |
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 u1))) |
(*.f32 (/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 u1)) |
(/.f32 (*.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (+.f32 -1 u1))) |
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (+.f32 u1 -1)) (cbrt.f32 (neg.f32 u1)))) |
(*.f32 (/.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (+.f32 u1 -1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) |
(/.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)))) |
(/.f32 (sqrt.f32 u1) (*.f32 (fabs.f32 (cbrt.f32 (-.f32 1 u1))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) |
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)) |
(fabs.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) |
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
Compiled 5249 to 3865 computations (26.4% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 259 | 21 | 280 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 259 | 22 | 281 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.5b | (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| 0.6b | (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 0.4b | (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 0.4b | (*.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 0.4b | (*.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 6.3b | (*.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 0.3b | (*.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 0.5b | (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 0.4b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)) | |
| 0.4b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)) | |
| ▶ | 0.9b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
| ✓ | 0.3b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| ▶ | 0.3b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))) |
| ▶ | 5.1b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
| 0.3b | (*.f32 (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 3.0b | (*.f32 (sqrt.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| ▶ | 0.3b | (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| 0.3b | (*.f32 (sqrt.f32 (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 14.0b | (*.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 1.1b | (*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 8.7b | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 6.2b | (*.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
Compiled 716 to 571 computations (20.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) | |
| ✓ | 0.1b | (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)) |
| 0.2b | (/.f32 u1 (-.f32 1 u1)) | |
| ✓ | 0.4b | (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) |
Compiled 56 to 33 computations (41.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | u2 | @ | inf | (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) |
| 0.0ms | u2 | @ | 0 | (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) |
| 0.0ms | u2 | @ | -inf | (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) |
| 0.0ms | u2 | @ | inf | (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)) |
| 0.0ms | u2 | @ | 0 | (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)) |
| 1× | batch-egg-rewrite |
| 1386× | add-sqr-sqrt |
| 1364× | *-un-lft-identity |
| 1276× | add-cube-cbrt |
| 1266× | add-cbrt-cube |
| 1254× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 161 | 20 |
| 2 | 1848 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) |
(sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 314159265359/50000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 u2 314159265359/50000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 314159265359/50000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 314159265359/50000000000 u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (sqrt.f32 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (pow.f32 (*.f32 u2 98696044010906577398881/2500000000000000000000) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) (cbrt.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4))) 1/2) (pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 314159265359/50000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000))))))) |
| 1× | egg-herbie |
| 1380× | fma-def |
| 1106× | distribute-lft-out |
| 864× | unswap-sqr |
| 798× | *-commutative |
| 528× | log-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 685 |
| 1 | 211 | 685 |
| 2 | 847 | 685 |
| 3 | 2899 | 685 |
| 4 | 5116 | 685 |
| 1× | node limit |
| Inputs |
|---|
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 -314159265359/50000000000 u2) |
(*.f32 -314159265359/50000000000 u2) |
(*.f32 -314159265359/50000000000 u2) |
(*.f32 -314159265359/50000000000 u2) |
(-.f32 (+.f32 1 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1) |
(pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 1) |
(pow.f32 (*.f32 u2 314159265359/50000000000) 2) |
(pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 3) |
(pow.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)) 1/2) |
(pow.f32 (pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 3) 1/3) |
(sqrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4))) |
(log.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2))) |
(cbrt.f32 (pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 3)) |
(expm1.f32 (log1p.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) |
(exp.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) |
(exp.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1)) |
(log1p.f32 (expm1.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) |
(-.f32 (+.f32 1 (*.f32 u2 314159265359/50000000000)) 1) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2)) |
(*.f32 (*.f32 u2 314159265359/50000000000) 1) |
(*.f32 1 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (*.f32 u2 314159265359/50000000000))) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 (sqrt.f32 u2) (sqrt.f32 (*.f32 u2 98696044010906577398881/2500000000000000000000))) |
(*.f32 (sqrt.f32 u2) (pow.f32 (*.f32 u2 98696044010906577398881/2500000000000000000000) 1/2)) |
(*.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) |
(*.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) (cbrt.f32 (*.f32 u2 314159265359/50000000000))) |
(*.f32 (sqrt.f32 (cbrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))) |
(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2) |
(*.f32 (pow.f32 1 1/2) (*.f32 u2 314159265359/50000000000)) |
(*.f32 (pow.f32 (cbrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4))) 1/2) (pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1/2)) |
(pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 1/2) |
(pow.f32 (*.f32 u2 314159265359/50000000000) 1) |
(pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2) |
(pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3) |
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3) |
(fabs.f32 (*.f32 u2 314159265359/50000000000)) |
(log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)) |
(cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3)) |
(expm1.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) |
(exp.f32 (log.f32 (*.f32 u2 314159265359/50000000000))) |
(exp.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1/2)) |
(exp.f32 (*.f32 (log.f32 (*.f32 u2 314159265359/50000000000)) 1)) |
(log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000))) |
| Outputs |
|---|
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 -314159265359/50000000000 u2) |
(*.f32 u2 -314159265359/50000000000) |
(*.f32 -314159265359/50000000000 u2) |
(*.f32 u2 -314159265359/50000000000) |
(*.f32 -314159265359/50000000000 u2) |
(*.f32 u2 -314159265359/50000000000) |
(*.f32 -314159265359/50000000000 u2) |
(*.f32 u2 -314159265359/50000000000) |
(-.f32 (+.f32 1 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 1) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(pow.f32 (*.f32 u2 314159265359/50000000000) 2) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 3) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(pow.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)) 1/2) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(pow.f32 (pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 3) 1/3) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(sqrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4))) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(log.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2))) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(cbrt.f32 (pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 3)) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(expm1.f32 (log1p.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(exp.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(exp.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1)) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(log1p.f32 (expm1.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) |
(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) |
(-.f32 (+.f32 1 (*.f32 u2 314159265359/50000000000)) 1) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2)) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 (*.f32 u2 314159265359/50000000000) 1) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 1 (*.f32 u2 314159265359/50000000000)) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (*.f32 u2 314159265359/50000000000))) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 (sqrt.f32 u2) (sqrt.f32 (*.f32 u2 98696044010906577398881/2500000000000000000000))) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 (sqrt.f32 u2) (pow.f32 (*.f32 u2 98696044010906577398881/2500000000000000000000) 1/2)) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) (cbrt.f32 (*.f32 u2 314159265359/50000000000))) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 (sqrt.f32 (cbrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))) |
(*.f32 (sqrt.f32 (cbrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))) (sqrt.f32 (cbrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))) |
(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 (pow.f32 1 1/2) (*.f32 u2 314159265359/50000000000)) |
(*.f32 u2 314159265359/50000000000) |
(*.f32 (pow.f32 (cbrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4))) 1/2) (pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1/2)) |
(*.f32 (sqrt.f32 (cbrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))) (sqrt.f32 (cbrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))) |
(pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 1/2) |
(*.f32 u2 314159265359/50000000000) |
(pow.f32 (*.f32 u2 314159265359/50000000000) 1) |
(*.f32 u2 314159265359/50000000000) |
(pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2) |
(*.f32 u2 314159265359/50000000000) |
(pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3) |
(*.f32 u2 314159265359/50000000000) |
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3) |
(*.f32 u2 314159265359/50000000000) |
(fabs.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 u2 314159265359/50000000000) |
(log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)) |
(*.f32 u2 314159265359/50000000000) |
(cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3)) |
(*.f32 u2 314159265359/50000000000) |
(expm1.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) |
(*.f32 u2 314159265359/50000000000) |
(exp.f32 (log.f32 (*.f32 u2 314159265359/50000000000))) |
(*.f32 u2 314159265359/50000000000) |
(exp.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1/2)) |
(*.f32 u2 314159265359/50000000000) |
(exp.f32 (*.f32 (log.f32 (*.f32 u2 314159265359/50000000000)) 1)) |
(*.f32 u2 314159265359/50000000000) |
(log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000))) |
(*.f32 u2 314159265359/50000000000) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) | |
| 0.2b | (/.f32 u1 (-.f32 1 u1)) |
Compiled 27 to 19 computations (29.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) |
| ✓ | 0.1b | (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) |
| 0.3b | (*.f32 314159265359/50000000000 u2) | |
| ✓ | 0.3b | (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1)) |
Compiled 72 to 42 computations (41.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | u1 | @ | inf | (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) |
| 0.0ms | u1 | @ | 0 | (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) |
| 0.0ms | u1 | @ | 0 | (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1)) |
| 0.0ms | u1 | @ | inf | (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1)) |
| 0.0ms | u1 | @ | -inf | (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) |
| 1× | batch-egg-rewrite |
| 1462× | associate-/r* |
| 1222× | associate-/l* |
| 764× | distribute-lft-in |
| 710× | associate-/r/ |
| 324× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 85 |
| 1 | 245 | 49 |
| 2 | 3473 | 49 |
| 1× | node limit |
| Inputs |
|---|
(*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1)) |
(/.f32 u1 (-.f32 1 (*.f32 u1 u1))) |
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (hypot.f32 1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) (hypot.f32 1 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (-.f32 1 (pow.f32 u1 6)))) (sqrt.f32 (+.f32 1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (-.f32 1 (pow.f32 u1 4)))) (sqrt.f32 (+.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (-.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) 1) (sqrt.f32 (-.f32 1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (cbrt.f32 (-.f32 1 (*.f32 u1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))))) (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) |
| 1× | egg-herbie |
| 1398× | associate-/l* |
| 1040× | associate-/r* |
| 1014× | associate-*r* |
| 874× | associate-*l* |
| 872× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 770 | 14619 |
| 1 | 2172 | 13769 |
| 1× | node limit |
| Inputs |
|---|
u1 |
(+.f32 (pow.f32 u1 2) u1) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1)) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1))) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
u1 |
(+.f32 (pow.f32 u1 3) u1) |
(+.f32 (pow.f32 u1 5) (+.f32 (pow.f32 u1 3) u1)) |
(+.f32 (pow.f32 u1 7) (+.f32 (pow.f32 u1 5) (+.f32 (pow.f32 u1 3) u1))) |
(/.f32 -1 u1) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 7)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
(/.f32 -1 u1) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 7)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
(sqrt.f32 -1) |
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(+.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) (*.f32 (/.f32 u1 (fma.f32 u1 u1 -1)) (neg.f32 u1))) |
(+.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) (*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 -1)) (neg.f32 u1)) 1)) |
(+.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 -1)) (neg.f32 u1)) (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) |
(+.f32 (*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 -1)) (neg.f32 u1)) 1) (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) |
(+.f32 (*.f32 1 (*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 -1)) (neg.f32 u1)) 1)) (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) |
(+.f32 (*.f32 (/.f32 u1 (/.f32 (-.f32 1 (pow.f32 u1 4)) (+.f32 u1 1))) 1) (*.f32 (/.f32 u1 (/.f32 (-.f32 1 (pow.f32 u1 4)) (+.f32 u1 1))) (*.f32 u1 u1))) |
(+.f32 (*.f32 (/.f32 u1 (/.f32 (-.f32 1 (pow.f32 u1 4)) (+.f32 u1 1))) (*.f32 u1 u1)) (*.f32 (/.f32 u1 (/.f32 (-.f32 1 (pow.f32 u1 4)) (+.f32 u1 1))) 1)) |
(+.f32 (*.f32 (/.f32 u1 (/.f32 (-.f32 1 (pow.f32 u1 6)) (+.f32 u1 1))) 1) (*.f32 (/.f32 u1 (/.f32 (-.f32 1 (pow.f32 u1 6)) (+.f32 u1 1))) (+.f32 (*.f32 u1 u1) (pow.f32 u1 4)))) |
(+.f32 (*.f32 (/.f32 u1 (/.f32 (-.f32 1 (pow.f32 u1 6)) (+.f32 u1 1))) (+.f32 (*.f32 u1 u1) (pow.f32 u1 4))) (*.f32 (/.f32 u1 (/.f32 (-.f32 1 (pow.f32 u1 6)) (+.f32 u1 1))) 1)) |
(+.f32 (*.f32 (/.f32 u1 (/.f32 (-.f32 1 (pow.f32 u1 6)) (+.f32 u1 1))) (+.f32 1 (pow.f32 u1 4))) (*.f32 (/.f32 u1 (/.f32 (-.f32 1 (pow.f32 u1 6)) (+.f32 u1 1))) (*.f32 u1 u1))) |
(-.f32 (exp.f32 (log1p.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) (-.f32 1 (*.f32 (/.f32 u1 (fma.f32 u1 u1 -1)) (neg.f32 u1)))) |
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1) |
(-.f32 (+.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 -1)) (neg.f32 u1)) (exp.f32 (log1p.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))))) 1) |
(-.f32 (+.f32 (*.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 -1)) (neg.f32 u1)) 1) (exp.f32 (log1p.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))))) 1) |
(/.f32 u1 (-.f32 1 u1)) |
(/.f32 u1 (/.f32 (*.f32 (-.f32 1 (*.f32 u1 u1)) (+.f32 u1 -1)) (fma.f32 u1 u1 -1))) |
(/.f32 u1 (/.f32 (*.f32 (-.f32 1 (*.f32 u1 u1)) (fma.f32 u1 u1 (-.f32 1 u1))) (+.f32 1 (pow.f32 u1 3)))) |
(/.f32 1 (/.f32 (-.f32 1 u1) u1)) |
(/.f32 1 (/.f32 (*.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (+.f32 u1 -1)) (fma.f32 u1 u1 -1))) |
(/.f32 1 (/.f32 (*.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (fma.f32 u1 u1 (-.f32 1 u1))) (+.f32 1 (pow.f32 u1 3)))) |
(/.f32 1 (*.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (/.f32 1 (+.f32 u1 1)))) |
(/.f32 (-.f32 1 (*.f32 u1 u1)) (*.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (-.f32 1 u1))) |
(/.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) (/.f32 1 (+.f32 u1 1))) |
(/.f32 (+.f32 u1 1) (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1))) |
(/.f32 (+.f32 u1 1) (/.f32 (*.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (+.f32 u1 -1)) (+.f32 u1 -1))) |
(/.f32 (/.f32 u1 (-.f32 1 u1)) 1) |
(/.f32 (hypot.f32 1 (sqrt.f32 u1)) (/.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (hypot.f32 1 (sqrt.f32 u1)))) |
(/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (*.f32 (sqrt.f32 u1) 1))) |
(/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 (*.f32 u1 u1)) (*.f32 (sqrt.f32 u1) (+.f32 u1 1)))) |
(/.f32 (cbrt.f32 (+.f32 u1 1)) (/.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2))) |
(/.f32 (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2) (/.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (cbrt.f32 (+.f32 u1 1)))) |
(/.f32 (cbrt.f32 u1) (/.f32 (-.f32 1 u1) (pow.f32 (cbrt.f32 u1) 2))) |
(/.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (-.f32 1 u1) (cbrt.f32 u1))) |
(/.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (-.f32 1 u1) (*.f32 (cbrt.f32 u1) 1))) |
(/.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (-.f32 1 (*.f32 u1 u1)) (*.f32 (cbrt.f32 u1) (+.f32 u1 1)))) |
(/.f32 (+.f32 u1 (*.f32 u1 u1)) (-.f32 1 (*.f32 u1 u1))) |
(/.f32 (neg.f32 u1) (+.f32 u1 -1)) |
(/.f32 (neg.f32 u1) (/.f32 (*.f32 (fma.f32 u1 u1 -1) (+.f32 u1 -1)) (fma.f32 u1 u1 -1))) |
(/.f32 (neg.f32 u1) (/.f32 (*.f32 (fma.f32 u1 u1 -1) (fma.f32 u1 u1 (-.f32 1 u1))) (+.f32 1 (pow.f32 u1 3)))) |
(/.f32 (fma.f32 u1 u1 -1) (*.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (+.f32 u1 -1))) |
(/.f32 (fma.f32 u1 u1 -1) (/.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (/.f32 1 (+.f32 u1 -1)))) |
(/.f32 (fma.f32 u1 u1 -1) (/.f32 (+.f32 u1 -1) (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) |
(/.f32 (fma.f32 u1 u1 -1) (/.f32 (*.f32 (+.f32 u1 -1) (-.f32 1 (*.f32 u1 u1))) u1)) |
(/.f32 (fma.f32 u1 u1 -1) (/.f32 (*.f32 (+.f32 u1 -1) (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1))) 1)) |
(/.f32 (fma.f32 u1 u1 -1) (/.f32 (*.f32 (+.f32 u1 -1) (fma.f32 u1 u1 -1)) (neg.f32 u1))) |
(/.f32 (+.f32 1 (pow.f32 u1 3)) (*.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (fma.f32 u1 u1 (-.f32 1 u1)))) |
(/.f32 (+.f32 1 (pow.f32 u1 3)) (/.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (/.f32 1 (fma.f32 u1 u1 (-.f32 1 u1))))) |
(/.f32 (+.f32 1 (pow.f32 u1 3)) (/.f32 (fma.f32 u1 u1 (-.f32 1 u1)) (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) |
(/.f32 (+.f32 1 (pow.f32 u1 3)) (/.f32 (*.f32 (fma.f32 u1 u1 (-.f32 1 u1)) (-.f32 1 (*.f32 u1 u1))) u1)) |
(/.f32 (+.f32 1 (pow.f32 u1 3)) (/.f32 (*.f32 (fma.f32 u1 u1 (-.f32 1 u1)) (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1))) 1)) |
(/.f32 (+.f32 1 (pow.f32 u1 3)) (/.f32 (*.f32 (fma.f32 u1 u1 (-.f32 1 u1)) (fma.f32 u1 u1 -1)) (neg.f32 u1))) |
(/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (/.f32 (-.f32 1 (*.f32 u1 u1)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))) |
(/.f32 (sqrt.f32 (fma.f32 u1 u1 -1)) (/.f32 (*.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (+.f32 u1 -1)) (sqrt.f32 (fma.f32 u1 u1 -1)))) |
(/.f32 (sqrt.f32 (+.f32 1 (pow.f32 u1 3))) (/.f32 (*.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (fma.f32 u1 u1 (-.f32 1 u1))) (sqrt.f32 (+.f32 1 (pow.f32 u1 3))))) |
(/.f32 (sqrt.f32 (cbrt.f32 (pow.f32 u1 4))) (/.f32 (-.f32 1 u1) (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2)))) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 u1 (*.f32 u1 u1))) (cbrt.f32 (+.f32 u1 (*.f32 u1 u1)))) (/.f32 (-.f32 1 (*.f32 u1 u1)) (cbrt.f32 (+.f32 u1 (*.f32 u1 u1))))) |
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(/.f32 (/.f32 (neg.f32 (+.f32 u1 (*.f32 u1 u1))) 1) (fma.f32 u1 u1 -1)) |
(/.f32 (/.f32 (neg.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (neg.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))))) |
(/.f32 (/.f32 (neg.f32 (+.f32 u1 (*.f32 u1 u1))) (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2)) (neg.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))))) |
(/.f32 (/.f32 (neg.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 -1))) (sqrt.f32 (fma.f32 u1 u1 -1))) |
(/.f32 (/.f32 (neg.f32 (+.f32 u1 (*.f32 u1 u1))) (*.f32 (cbrt.f32 (fma.f32 u1 u1 -1)) (cbrt.f32 (fma.f32 u1 u1 -1)))) (cbrt.f32 (fma.f32 u1 u1 -1))) |
(/.f32 (/.f32 (neg.f32 (+.f32 u1 (*.f32 u1 u1))) -1) (-.f32 1 (*.f32 u1 u1))) |
(/.f32 (/.f32 (neg.f32 (+.f32 u1 (*.f32 u1 u1))) (neg.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))))) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) |
(/.f32 (/.f32 (neg.f32 (+.f32 u1 (*.f32 u1 u1))) (neg.f32 (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2))) (cbrt.f32 (-.f32 1 (*.f32 u1 u1)))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1) |
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) |
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/2) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3) |
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2)) |
(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) |
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) |
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) 3) (pow.f32 (+.f32 u1 1) 3))) |
(cbrt.f32 (*.f32 (pow.f32 (+.f32 u1 1) 3) (pow.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) 3))) |
(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) |
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1)) |
(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))) |
(fma.f32 u1 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) |
(fma.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) u1 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) |
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 4))) 1) (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 4))) (*.f32 u1 u1))) |
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 4))) (*.f32 u1 u1)) (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 4))) 1)) |
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 6))) 1) (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 6))) (+.f32 (*.f32 u1 u1) (pow.f32 u1 4)))) |
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 6))) (+.f32 (*.f32 u1 u1) (pow.f32 u1 4))) (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 6))) 1)) |
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 6))) (+.f32 1 (pow.f32 u1 4))) (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 6))) (*.f32 u1 u1))) |
(-.f32 (exp.f32 (log1p.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) 1) |
(*.f32 u1 (/.f32 -1 (fma.f32 u1 u1 -1))) |
(*.f32 1 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) |
(*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) 1) |
(*.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) (/.f32 -1 (fma.f32 u1 u1 -1)))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) 1)) |
(*.f32 (pow.f32 (cbrt.f32 u1) 2) (*.f32 (cbrt.f32 u1) (/.f32 -1 (fma.f32 u1 u1 -1)))) |
(*.f32 (cbrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) (pow.f32 (cbrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) 2) (cbrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) 2) (*.f32 (cbrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) 1)) |
(*.f32 (neg.f32 u1) (/.f32 1 (fma.f32 u1 u1 -1))) |
(*.f32 (/.f32 -1 (fma.f32 u1 u1 -1)) u1) |
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (/.f32 u1 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))))) |
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2)) (/.f32 u1 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))))) |
(*.f32 (/.f32 u1 1) (/.f32 -1 (fma.f32 u1 u1 -1))) |
(*.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 4))) (+.f32 u1 (pow.f32 u1 3))) |
(*.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 6))) (+.f32 u1 (*.f32 u1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4))))) |
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 4))) (+.f32 1 (*.f32 u1 u1))) |
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 6))) (+.f32 1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4)))) |
(*.f32 (/.f32 1 (fma.f32 u1 u1 -1)) (neg.f32 u1)) |
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 (*.f32 u1 u1)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 u1)) |
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 (*.f32 u1 u1))))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 (*.f32 u1 u1)))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 (*.f32 u1 u1))))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2)) (cbrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) |
(*.f32 (/.f32 (/.f32 u1 1) 1) (/.f32 -1 (fma.f32 u1 u1 -1))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (-.f32 1 (*.f32 u1 u1))) (cbrt.f32 u1)) |
(*.f32 (/.f32 u1 (neg.f32 (-.f32 1 (pow.f32 u1 4)))) (neg.f32 (+.f32 1 (*.f32 u1 u1)))) |
(*.f32 (/.f32 u1 (neg.f32 (-.f32 1 (pow.f32 u1 6)))) (neg.f32 (+.f32 1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4))))) |
(*.f32 (/.f32 u1 (-.f32 1 (*.f32 (*.f32 u1 (neg.f32 u1)) (*.f32 u1 (neg.f32 u1))))) (+.f32 1 (*.f32 u1 u1))) |
(*.f32 (/.f32 u1 (+.f32 1 (pow.f32 (*.f32 u1 (neg.f32 u1)) 3))) (+.f32 1 (-.f32 (*.f32 (*.f32 u1 (neg.f32 u1)) (*.f32 u1 (neg.f32 u1))) (*.f32 u1 (neg.f32 u1))))) |
(*.f32 (/.f32 1 (/.f32 (-.f32 1 (*.f32 u1 u1)) (pow.f32 (cbrt.f32 u1) 2))) (cbrt.f32 u1)) |
(*.f32 (/.f32 (neg.f32 u1) (neg.f32 (-.f32 1 (pow.f32 u1 4)))) (+.f32 1 (*.f32 u1 u1))) |
(*.f32 (/.f32 (neg.f32 u1) (neg.f32 (-.f32 1 (pow.f32 u1 6)))) (+.f32 1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4)))) |
(*.f32 (/.f32 (*.f32 (neg.f32 u1) 1) (neg.f32 (-.f32 1 (pow.f32 u1 4)))) (+.f32 1 (*.f32 u1 u1))) |
(*.f32 (/.f32 (*.f32 (neg.f32 u1) 1) (neg.f32 (-.f32 1 (pow.f32 u1 6)))) (+.f32 1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4)))) |
(*.f32 (/.f32 (/.f32 u1 1) (neg.f32 (-.f32 1 (pow.f32 u1 4)))) (neg.f32 (+.f32 1 (*.f32 u1 u1)))) |
(*.f32 (/.f32 (/.f32 u1 1) (neg.f32 (-.f32 1 (pow.f32 u1 6)))) (neg.f32 (+.f32 1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4))))) |
(*.f32 (/.f32 (/.f32 u1 1) (-.f32 1 (*.f32 (*.f32 u1 (neg.f32 u1)) (*.f32 u1 (neg.f32 u1))))) (+.f32 1 (*.f32 u1 u1))) |
(*.f32 (/.f32 (/.f32 u1 1) (+.f32 1 (pow.f32 (*.f32 u1 (neg.f32 u1)) 3))) (+.f32 1 (-.f32 (*.f32 (*.f32 u1 (neg.f32 u1)) (*.f32 u1 (neg.f32 u1))) (*.f32 u1 (neg.f32 u1))))) |
(*.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (sqrt.f32 (-.f32 1 (pow.f32 u1 6)))) (sqrt.f32 (+.f32 1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4))))) |
(*.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (sqrt.f32 (-.f32 1 (pow.f32 u1 4)))) (sqrt.f32 (+.f32 1 (*.f32 u1 u1)))) |
(*.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2)) (cbrt.f32 (-.f32 1 (pow.f32 u1 6)))) (cbrt.f32 (+.f32 1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4))))) |
(*.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2)) (cbrt.f32 (-.f32 1 (pow.f32 u1 4)))) (cbrt.f32 (+.f32 1 (*.f32 u1 u1)))) |
(pow.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) 1) |
(pow.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) 2) |
(pow.f32 (cbrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) 3) |
(pow.f32 (pow.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) 3) 1/3) |
(pow.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) -1) |
(neg.f32 (/.f32 u1 (fma.f32 u1 u1 -1))) |
(sqrt.f32 (pow.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) 2)) |
(log.f32 (exp.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) |
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))))) |
(cbrt.f32 (pow.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) 3)) |
(cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 (*.f32 u1 u1)) 3))) |
(expm1.f32 (log1p.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) |
(exp.f32 (log.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) 1)) |
(log1p.f32 (expm1.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) |
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) |
(*.f32 (hypot.f32 1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) (hypot.f32 1 (sqrt.f32 u1))) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) |
(*.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (-.f32 1 (pow.f32 u1 6)))) (sqrt.f32 (+.f32 1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4))))) |
(*.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (-.f32 1 (pow.f32 u1 4)))) (sqrt.f32 (+.f32 1 (*.f32 u1 u1)))) |
(/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) |
(/.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) 1) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) |
(/.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (cbrt.f32 (-.f32 1 (*.f32 u1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))))) |
(/.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))))) |
(/.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))))) (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) |
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) |
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) |
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) |
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
| Outputs |
|---|
u1 |
(+.f32 (pow.f32 u1 2) u1) |
(+.f32 u1 (*.f32 u1 u1)) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1)) |
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (*.f32 u1 u1)) |
(+.f32 u1 (+.f32 (pow.f32 u1 3) (*.f32 u1 u1))) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1))) |
(+.f32 (fma.f32 u1 u1 (pow.f32 u1 4)) (+.f32 u1 (pow.f32 u1 3))) |
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (fma.f32 u1 u1 (pow.f32 u1 4))) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(-.f32 -1 (/.f32 1 u1)) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))) |
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))) |
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(-.f32 -1 (/.f32 1 u1)) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))) |
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))) |
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))) |
u1 |
(+.f32 (pow.f32 u1 3) u1) |
(+.f32 u1 (pow.f32 u1 3)) |
(+.f32 (pow.f32 u1 5) (+.f32 (pow.f32 u1 3) u1)) |
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 5)) |
(+.f32 u1 (+.f32 (pow.f32 u1 3) (pow.f32 u1 5))) |
(+.f32 (pow.f32 u1 7) (+.f32 (pow.f32 u1 5) (+.f32 (pow.f32 u1 3) u1))) |
(+.f32 (+.f32 (pow.f32 u1 7) (pow.f32 u1 5)) (+.f32 u1 (pow.f32 u1 3))) |
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (+.f32 (pow.f32 u1 5) (pow.f32 u1 7))) |
(/.f32 -1 u1) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))) |
(neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 (pow.f32 u1 5)))) |
(-.f32 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))) (/.f32 1 (pow.f32 u1 5))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 7)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 (pow.f32 u1 7))))) |
(neg.f32 (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))) (+.f32 (/.f32 1 (pow.f32 u1 5)) (/.f32 1 (pow.f32 u1 7))))) |
(/.f32 -1 u1) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))) |
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(/.f32 (*.f32 u1 (+.f32 1 (-.f32 (*.f32 (*.f32 u1 u1) (*.f32 (neg.f32 u1) (neg.f32 u1))) (*.f32 u1 (neg.f32 u1))))) (+.f32 1 (pow.f32 (*.f32 u1 (neg.f32 u1)) 3))) |
(/.f32 u1 (/.f32 (+.f32 1 (pow.f32 (*.f32 u1 (neg.f32 u1)) 3)) (+.f32 1 (*.f32 (neg.f32 u1) (-.f32 (neg.f32 (pow.f32 u1 3)) u1))))) |
(*.f32 (/.f32 1 (/.f32 (-.f32 1 (*.f32 u1 u1)) (pow.f32 (cbrt.f32 u1) 2))) (cbrt.f32 u1)) |
(*.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (cbrt.f32 u1) (-.f32 1 (*.f32 u1 u1)))) |
(/.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (-.f32 1 (*.f32 u1 u1)) (cbrt.f32 u1))) |
(*.f32 (/.f32 (neg.f32 u1) (neg.f32 (-.f32 1 (pow.f32 u1 4)))) (+.f32 1 (*.f32 u1 u1))) |
(*.f32 (/.f32 u1 (neg.f32 (-.f32 1 (pow.f32 u1 4)))) (+.f32 -1 (*.f32 u1 (neg.f32 u1)))) |
(neg.f32 (/.f32 (+.f32 u1 (pow.f32 u1 3)) (+.f32 (pow.f32 u1 4) -1))) |
(*.f32 (/.f32 (neg.f32 u1) (neg.f32 (-.f32 1 (pow.f32 u1 6)))) (+.f32 1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4)))) |
(*.f32 (/.f32 u1 (neg.f32 (-.f32 1 (pow.f32 u1 6)))) (+.f32 -1 (neg.f32 (fma.f32 u1 u1 (pow.f32 u1 4))))) |
(*.f32 (/.f32 u1 (+.f32 -1 (pow.f32 u1 6))) (-.f32 -1 (fma.f32 u1 u1 (pow.f32 u1 4)))) |
(*.f32 (/.f32 (*.f32 (neg.f32 u1) 1) (neg.f32 (-.f32 1 (pow.f32 u1 4)))) (+.f32 1 (*.f32 u1 u1))) |
(*.f32 (/.f32 u1 (neg.f32 (-.f32 1 (pow.f32 u1 4)))) (+.f32 -1 (*.f32 u1 (neg.f32 u1)))) |
(neg.f32 (/.f32 (+.f32 u1 (pow.f32 u1 3)) (+.f32 (pow.f32 u1 4) -1))) |
(*.f32 (/.f32 (*.f32 (neg.f32 u1) 1) (neg.f32 (-.f32 1 (pow.f32 u1 6)))) (+.f32 1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4)))) |
(*.f32 (/.f32 u1 (neg.f32 (-.f32 1 (pow.f32 u1 6)))) (+.f32 -1 (neg.f32 (fma.f32 u1 u1 (pow.f32 u1 4))))) |
(*.f32 (/.f32 u1 (+.f32 -1 (pow.f32 u1 6))) (-.f32 -1 (fma.f32 u1 u1 (pow.f32 u1 4)))) |
(*.f32 (/.f32 (/.f32 u1 1) (neg.f32 (-.f32 1 (pow.f32 u1 4)))) (neg.f32 (+.f32 1 (*.f32 u1 u1)))) |
(*.f32 (/.f32 u1 (neg.f32 (-.f32 1 (pow.f32 u1 4)))) (+.f32 -1 (*.f32 u1 (neg.f32 u1)))) |
(neg.f32 (/.f32 (+.f32 u1 (pow.f32 u1 3)) (+.f32 (pow.f32 u1 4) -1))) |
(*.f32 (/.f32 (/.f32 u1 1) (neg.f32 (-.f32 1 (pow.f32 u1 6)))) (neg.f32 (+.f32 1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4))))) |
(*.f32 (/.f32 u1 (neg.f32 (-.f32 1 (pow.f32 u1 6)))) (+.f32 -1 (neg.f32 (fma.f32 u1 u1 (pow.f32 u1 4))))) |
(*.f32 (/.f32 u1 (+.f32 -1 (pow.f32 u1 6))) (-.f32 -1 (fma.f32 u1 u1 (pow.f32 u1 4)))) |
(*.f32 (/.f32 (/.f32 u1 1) (-.f32 1 (*.f32 (*.f32 u1 (neg.f32 u1)) (*.f32 u1 (neg.f32 u1))))) (+.f32 1 (*.f32 u1 u1))) |
(*.f32 (+.f32 1 (*.f32 u1 u1)) (/.f32 u1 (-.f32 1 (*.f32 (*.f32 u1 u1) (*.f32 (neg.f32 u1) (neg.f32 u1)))))) |
(/.f32 (+.f32 u1 (pow.f32 u1 3)) (-.f32 1 (*.f32 (neg.f32 u1) (neg.f32 (pow.f32 u1 3))))) |
(*.f32 (/.f32 (/.f32 u1 1) (+.f32 1 (pow.f32 (*.f32 u1 (neg.f32 u1)) 3))) (+.f32 1 (-.f32 (*.f32 (*.f32 u1 (neg.f32 u1)) (*.f32 u1 (neg.f32 u1))) (*.f32 u1 (neg.f32 u1))))) |
(/.f32 (*.f32 u1 (+.f32 1 (-.f32 (*.f32 (*.f32 u1 u1) (*.f32 (neg.f32 u1) (neg.f32 u1))) (*.f32 u1 (neg.f32 u1))))) (+.f32 1 (pow.f32 (*.f32 u1 (neg.f32 u1)) 3))) |
(/.f32 u1 (/.f32 (+.f32 1 (pow.f32 (*.f32 u1 (neg.f32 u1)) 3)) (+.f32 1 (*.f32 (neg.f32 u1) (-.f32 (neg.f32 (pow.f32 u1 3)) u1))))) |
(*.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (sqrt.f32 (-.f32 1 (pow.f32 u1 6)))) (sqrt.f32 (+.f32 1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4))))) |
(*.f32 (/.f32 u1 (*.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 6))) (sqrt.f32 (-.f32 1 (*.f32 u1 u1))))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 (pow.f32 u1 4))))) |
(*.f32 (/.f32 u1 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (-.f32 1 (pow.f32 u1 6))))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 (pow.f32 u1 4))))) |
(*.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (sqrt.f32 (-.f32 1 (pow.f32 u1 4)))) (sqrt.f32 (+.f32 1 (*.f32 u1 u1)))) |
(*.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (sqrt.f32 (-.f32 1 (pow.f32 u1 4)))) (hypot.f32 1 u1)) |
(*.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2)) (cbrt.f32 (-.f32 1 (pow.f32 u1 6)))) (cbrt.f32 (+.f32 1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4))))) |
(*.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2)) (cbrt.f32 (-.f32 1 (pow.f32 u1 6)))) (cbrt.f32 (+.f32 1 (fma.f32 u1 u1 (pow.f32 u1 4))))) |
(*.f32 (/.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 (pow.f32 u1 6)))) (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2)) (cbrt.f32 (+.f32 1 (fma.f32 u1 u1 (pow.f32 u1 4))))) |
(*.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2)) (cbrt.f32 (-.f32 1 (pow.f32 u1 4)))) (cbrt.f32 (+.f32 1 (*.f32 u1 u1)))) |
(*.f32 (/.f32 u1 (*.f32 (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2) (cbrt.f32 (-.f32 1 (pow.f32 u1 4))))) (cbrt.f32 (+.f32 1 (*.f32 u1 u1)))) |
(pow.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) 1) |
(/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) |
(pow.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) 2) |
(/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) |
(pow.f32 (cbrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) 3) |
(/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) |
(pow.f32 (pow.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) 3) 1/3) |
(/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) |
(pow.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) -1) |
(/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) |
(neg.f32 (/.f32 u1 (fma.f32 u1 u1 -1))) |
(/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) |
(sqrt.f32 (pow.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) 2)) |
(log.f32 (exp.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) |
(/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) |
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))))) |
(/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) |
(cbrt.f32 (pow.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) 3)) |
(/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) |
(cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 (*.f32 u1 u1)) 3))) |
(expm1.f32 (log1p.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) |
(/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) |
(exp.f32 (log.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) |
(/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) |
(exp.f32 (*.f32 (log.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) 1)) |
(/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) |
(log1p.f32 (expm1.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) |
(/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (hypot.f32 1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) |
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) (hypot.f32 1 (sqrt.f32 u1))) |
(*.f32 (hypot.f32 1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (-.f32 1 (pow.f32 u1 6)))) (sqrt.f32 (+.f32 1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4))))) |
(*.f32 (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 (pow.f32 u1 4)))) (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (-.f32 1 (pow.f32 u1 6))))) |
(*.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (-.f32 1 (pow.f32 u1 4)))) (sqrt.f32 (+.f32 1 (*.f32 u1 u1)))) |
(*.f32 (hypot.f32 1 u1) (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (-.f32 1 (pow.f32 u1 4))))) |
(/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) |
(/.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) 1) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) |
(/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) |
(/.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (cbrt.f32 (-.f32 1 (*.f32 u1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))))) |
(/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (cbrt.f32 (-.f32 1 (*.f32 u1 u1))))) |
(/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (*.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))))) |
(/.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))))) |
(/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2)))) |
(/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2)) (sqrt.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1)))))) |
(/.f32 (/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))))) (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))))) |
(/.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (*.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f32 u1 (-.f32 1 u1)) | |
| 0.3b | (*.f32 314159265359/50000000000 u2) | |
| ✓ | 0.3b | (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
| ✓ | 1.4b | (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) |
Compiled 54 to 40 computations (25.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | u1 | @ | -inf | (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) |
| 1.0ms | u1 | @ | 0 | (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) |
| 1.0ms | u1 | @ | inf | (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) |
| 0.0ms | u1 | @ | 0 | (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
| 0.0ms | u1 | @ | inf | (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
| 1× | batch-egg-rewrite |
| 1012× | associate-*r/ |
| 798× | *-commutative |
| 788× | associate-/r* |
| 716× | associate-*l/ |
| 620× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 1 | 225 | 36 |
| 2 | 2733 | 36 |
| 1× | node limit |
| Inputs |
|---|
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1678× | associate-/l* |
| 1036× | fma-def |
| 956× | *-commutative |
| 520× | associate-*r/ |
| 516× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 368 | 4680 |
| 1 | 864 | 4376 |
| 2 | 2683 | 4184 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f32 u1) |
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6))) |
(+.f32 (*.f32 1/3 (*.f32 (-.f32 (*.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/4 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)))) |
(+.f32 (*.f32 1/3 (*.f32 (-.f32 (*.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/4 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (*.f32 1/3 (*.f32 (-.f32 (*.f32 35/16 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (*.f32 (pow.f32 (*.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (*.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/4 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6)))) (*.f32 1/8 (sqrt.f32 (pow.f32 u1 7))))) (pow.f32 u1 2))) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6))))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1)))) |
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/3 (/.f32 (-.f32 (*.f32 15/8 (sqrt.f32 -1)) (+.f32 (*.f32 1/4 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (*.f32 1/2 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (*.f32 1/2 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))))) |
(+.f32 (*.f32 1/3 (/.f32 (-.f32 (*.f32 35/16 (sqrt.f32 -1)) (+.f32 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) 1/3) (-.f32 (*.f32 15/8 (sqrt.f32 -1)) (+.f32 (*.f32 1/4 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (*.f32 1/2 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3))))) (*.f32 1/8 (sqrt.f32 -1)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 3)))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/3 (/.f32 (-.f32 (*.f32 15/8 (sqrt.f32 -1)) (+.f32 (*.f32 1/4 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (*.f32 1/2 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (*.f32 1/2 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1)))))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1)))) |
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/3 (/.f32 (-.f32 (*.f32 15/8 (sqrt.f32 -1)) (+.f32 (*.f32 1/4 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (*.f32 1/2 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (*.f32 1/2 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))))) |
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/3 (/.f32 (-.f32 (*.f32 15/8 (sqrt.f32 -1)) (+.f32 (*.f32 1/4 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (*.f32 1/2 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))) (*.f32 -1/3 (/.f32 (-.f32 (*.f32 -35/16 (sqrt.f32 -1)) (+.f32 (*.f32 -1 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) 1/3) (-.f32 (*.f32 15/8 (sqrt.f32 -1)) (+.f32 (*.f32 1/4 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (*.f32 1/2 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))))) (*.f32 -1/8 (sqrt.f32 -1)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 3))))))) |
(sqrt.f32 (pow.f32 u1 3)) |
(+.f32 (*.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 (pow.f32 u1 3))) |
(+.f32 (*.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))) |
(+.f32 (*.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (*.f32 35/16 (sqrt.f32 (pow.f32 u1 9))) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1))) |
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) |
(+.f32 (*.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1))) |
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) |
(+.f32 (*.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) |
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 1 1/2)) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 1 1/3)) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 -1 (+.f32 u1 -1)))) |
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 -1 (+.f32 u1 -1)) 1/2)) |
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) |
(*.f32 (sqrt.f32 (/.f32 -1 (+.f32 u1 -1))) (sqrt.f32 u1)) |
(*.f32 (pow.f32 (/.f32 -1 (+.f32 u1 -1)) 1/2) (sqrt.f32 u1)) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2)) |
(*.f32 (pow.f32 1 1/3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) 1/3) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) 1/3)) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 1))) |
(*.f32 (*.f32 (pow.f32 1 1/6) (pow.f32 1 1/6)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) (*.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/6) (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/6))) |
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) |
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (cbrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 u1)))) |
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1))) |
(/.f32 (sqrt.f32 (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (sqrt.f32 u1)))) |
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 -1))) |
(/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (cbrt.f32 u1)))) |
(/.f32 (/.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (*.f32 1 (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 u1 -1))) |
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (neg.f32 u1))) (cbrt.f32 (+.f32 u1 -1))) |
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) |
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 u1 -1))) |
(/.f32 (*.f32 (pow.f32 1 1/3) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) |
(/.f32 (*.f32 (pow.f32 1 1/3) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (pow.f32 1 1/3) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 u1 -1))) |
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) 1) (sqrt.f32 (+.f32 u1 -1))) |
(/.f32 (*.f32 (cbrt.f32 u1) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (+.f32 u1 -1))) |
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))) 1) |
(*.f32 1 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(*.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1) |
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 1 3/2)) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4)) |
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (/.f32 u1 (-.f32 1 u1)) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))) |
(*.f32 (/.f32 (/.f32 u1 (-.f32 1 u1)) (cbrt.f32 (/.f32 (-.f32 1 u1) u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) |
(*.f32 (pow.f32 u1 3/2) (pow.f32 (/.f32 -1 (+.f32 u1 -1)) 3/2)) |
(*.f32 (pow.f32 (/.f32 -1 (+.f32 u1 -1)) 3/2) (pow.f32 u1 3/2)) |
(*.f32 (pow.f32 1 3/2) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(*.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 3/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 3/2)) |
(*.f32 (*.f32 (pow.f32 u1 3/4) (pow.f32 u1 3/4)) (*.f32 (pow.f32 (/.f32 -1 (+.f32 u1 -1)) 3/4) (pow.f32 (/.f32 -1 (+.f32 u1 -1)) 3/4))) |
(*.f32 (*.f32 (pow.f32 1 3/4) (pow.f32 1 3/4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(*.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 3/4) (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 3/4)) (*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/4) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/4))) |
(/.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) |
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (-.f32 1 u1) u1)) |
(/.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 u1 -1))) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u1) (-.f32 1 u1)) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 u1)) (/.f32 (-.f32 1 u1) (sqrt.f32 u1))) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (-.f32 1 u1) (cbrt.f32 u1))) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u1)) (+.f32 u1 -1)) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u1 1)) (-.f32 1 u1)) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (cbrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1) (/.f32 (+.f32 u1 -1) u1)) |
(/.f32 (*.f32 u1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 1 u1)) |
(/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (-.f32 1 u1) (sqrt.f32 u1))) |
(/.f32 (*.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (-.f32 1 u1) (cbrt.f32 u1))) |
(/.f32 (*.f32 (neg.f32 u1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 u1 -1)) |
(/.f32 (*.f32 (/.f32 u1 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 1 u1)) |
(/.f32 (*.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (+.f32 u1 -1) u1)) |
(/.f32 (*.f32 (sqrt.f32 u1) (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (+.f32 u1 -1))) |
(neg.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u1 (+.f32 u1 -1)))) |
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) |
(log.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))) |
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))) |
(cbrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 3)) |
(expm1.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))) |
(exp.f32 (*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1))))) |
(log1p.f32 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))) |
| Outputs |
|---|
(sqrt.f32 u1) |
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6))) |
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6))) |
(fma.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)) |
(+.f32 (*.f32 1/3 (*.f32 (-.f32 (*.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/4 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)))) |
(fma.f32 1/3 (*.f32 u1 (+.f32 (*.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (*.f32 -3/4 (pow.f32 (pow.f32 u1 17) 1/6)))) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6)))) |
(fma.f32 1/3 (*.f32 u1 (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 3)) (*.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/4))) (fma.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1))) |
(fma.f32 u1 (*.f32 1/3 (fma.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/4 (*.f32 15/8 (pow.f32 u1 3/2)))) (fma.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1))) |
(+.f32 (*.f32 1/3 (*.f32 (-.f32 (*.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/4 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (*.f32 1/3 (*.f32 (-.f32 (*.f32 35/16 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (*.f32 (pow.f32 (*.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (*.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/4 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6)))) (*.f32 1/8 (sqrt.f32 (pow.f32 u1 7))))) (pow.f32 u1 2))) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6))))) |
(fma.f32 1/3 (*.f32 u1 (+.f32 (*.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (*.f32 -3/4 (pow.f32 (pow.f32 u1 17) 1/6)))) (fma.f32 1/3 (*.f32 (*.f32 u1 u1) (-.f32 (*.f32 (sqrt.f32 (pow.f32 u1 3)) 35/16) (fma.f32 (cbrt.f32 (*.f32 u1 u1)) (+.f32 (*.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (*.f32 -3/4 (pow.f32 (pow.f32 u1 17) 1/6))) (*.f32 1/8 (sqrt.f32 (pow.f32 u1 7)))))) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6))))) |
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(sqrt.f32 -1) |
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(sqrt.f32 (pow.f32 u1 3)) |
(pow.f32 u1 3/2) |
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(fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3))) |
(fma.f32 3/2 (pow.f32 u1 5/2) (pow.f32 u1 3/2)) |
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(fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 7)) (sqrt.f32 (pow.f32 u1 3)))) |
(fma.f32 3/2 (pow.f32 u1 5/2) (fma.f32 15/8 (pow.f32 u1 7/2) (pow.f32 u1 3/2))) |
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(+.f32 (fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3))) (fma.f32 35/16 (sqrt.f32 (pow.f32 u1 9)) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))) |
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(fma.f32 3/2 (pow.f32 u1 5/2) (fma.f32 15/8 (pow.f32 u1 7/2) (fma.f32 35/16 (pow.f32 u1 9/2) (pow.f32 u1 3/2)))) |
(sqrt.f32 -1) |
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(fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) |
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(sqrt.f32 -1) |
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(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
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(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
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(*.f32 (fabs.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) |
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(*.f32 (fabs.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
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(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (+.f32 u1 -1) (neg.f32 u1))) |
(*.f32 u1 (/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 u1 -1))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (neg.f32 u1) (+.f32 u1 -1))) |
(/.f32 (*.f32 u1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 1 u1)) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
(/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (-.f32 1 u1) (sqrt.f32 u1))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
(/.f32 (*.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (-.f32 1 u1) (cbrt.f32 u1))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
(/.f32 (*.f32 (neg.f32 u1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 u1 -1)) |
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (+.f32 u1 -1) (neg.f32 u1))) |
(*.f32 u1 (/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 u1 -1))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (neg.f32 u1) (+.f32 u1 -1))) |
(/.f32 (*.f32 (/.f32 u1 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 1 u1)) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
(/.f32 (*.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (-.f32 1 u1))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
(/.f32 (*.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (-.f32 1 u1))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
(/.f32 (*.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (+.f32 u1 -1) u1)) |
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (+.f32 u1 -1) (neg.f32 u1))) |
(*.f32 u1 (/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 u1 -1))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (neg.f32 u1) (+.f32 u1 -1))) |
(/.f32 (*.f32 (sqrt.f32 u1) (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (/.f32 (*.f32 (sqrt.f32 u1) u1) (-.f32 1 u1)) (sqrt.f32 (-.f32 1 u1))) |
(*.f32 (/.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1)) |
(/.f32 u1 (*.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) |
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (+.f32 u1 -1))) |
(/.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 u1 -1))) |
(*.f32 (/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 -1))) (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 -1)))) |
(neg.f32 (*.f32 (/.f32 u1 (+.f32 u1 -1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (+.f32 u1 -1) (neg.f32 u1))) |
(*.f32 u1 (/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 u1 -1))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (neg.f32 u1) (+.f32 u1 -1))) |
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u1 (+.f32 u1 -1)))) |
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (+.f32 u1 -1) (neg.f32 u1))) |
(*.f32 u1 (/.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 u1 -1))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (neg.f32 u1) (+.f32 u1 -1))) |
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
(log.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
(cbrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 3)) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
(expm1.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
(exp.f32 (*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1))))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
(log1p.f32 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) | |
| 0.2b | (/.f32 u1 (-.f32 1 u1)) | |
| 0.3b | (*.f32 314159265359/50000000000 u2) | |
| ✓ | 21.2b | (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) |
Compiled 52 to 38 computations (26.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 73.0ms | u2 | @ | inf | (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| 18.0ms | u2 | @ | -inf | (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| 1.0ms | u2 | @ | 0 | (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| 1× | batch-egg-rewrite |
| 1382× | add-sqr-sqrt |
| 1364× | *-un-lft-identity |
| 1264× | add-cube-cbrt |
| 1250× | add-cbrt-cube |
| 1234× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 153 | 15 |
| 2 | 1709 | 15 |
| 1× | node limit |
| Inputs |
|---|
(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)) (log.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2) (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)))))) |
| 1× | egg-herbie |
| 1178× | distribute-lft-in |
| 1168× | *-commutative |
| 1002× | distribute-rgt-in |
| 776× | associate-*r* |
| 598× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 456 |
| 1 | 140 | 432 |
| 2 | 527 | 432 |
| 3 | 2502 | 432 |
| 4 | 5933 | 432 |
| 1× | node limit |
| Inputs |
|---|
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) |
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (*.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4))) |
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))) |
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (*.f32 -1613050272732846874652476385752590327546856214713072557700960917405627878185485322041973088657/98437500000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8))))) |
(+.f32 0 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)) (log.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(+.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(-.f32 (+.f32 1 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) |
(*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) |
(*.f32 1 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(*.f32 (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(*.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2) (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(pow.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) |
(pow.f32 (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2) |
(pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3) |
(pow.f32 (pow.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3) |
(sqrt.f32 (pow.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)) |
(cbrt.f32 (pow.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)) |
(expm1.f32 (log1p.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(exp.f32 (log.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(log1p.f32 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)) |
| Outputs |
|---|
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) |
(*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) |
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (*.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4))) |
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (*.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4))) |
(fma.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) |
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))) |
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))) |
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (*.f32 -1613050272732846874652476385752590327546856214713072557700960917405627878185485322041973088657/98437500000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8))))) |
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (*.f32 -1613050272732846874652476385752590327546856214713072557700960917405627878185485322041973088657/98437500000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8))))) |
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -1613050272732846874652476385752590327546856214713072557700960917405627878185485322041973088657/98437500000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))) |
(+.f32 0 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) |
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)) (log.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2)) (log.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))) |
(*.f32 3 (log.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))) |
(*.f32 (log.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) 3) |
(+.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (log.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(*.f32 2 (log.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))) |
(-.f32 (+.f32 1 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) |
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) |
(*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) |
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) |
(*.f32 1 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) |
(*.f32 (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) |
(*.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)) |
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2) (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) |
(pow.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) |
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) |
(pow.f32 (sqrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2) |
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) |
(pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3) |
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) |
(pow.f32 (pow.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3) |
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) |
(sqrt.f32 (pow.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)) |
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) |
(cbrt.f32 (pow.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)) |
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) |
(expm1.f32 (log1p.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) |
(exp.f32 (log.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) |
(log1p.f32 (-.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)) |
(log1p.f32 (+.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) -1)) |
Compiled 35642 to 25490 computations (28.5% saved)
37 alts after pruning (32 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1593 | 23 | 1616 |
| Fresh | 7 | 9 | 16 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 1601 | 37 | 1638 |
| Status | Error | Program |
|---|---|---|
| ✓ | 1.5b | (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| 1.4b | (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))) | |
| 0.6b | (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 9.3b | (*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 0.4b | (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 0.4b | (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))) | |
| ▶ | 5.2b | (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) 1) |
| 0.4b | (*.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))) | |
| 5.2b | (*.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1) | |
| 0.4b | (*.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 5.2b | (*.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1) | |
| 6.3b | (*.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 8.3b | (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) 1) | |
| 0.3b | (*.f32 (sqrt.f32 (/.f32 (/.f32 (*.f32 (+.f32 u1 1) (neg.f32 u1)) -1) (-.f32 1 (*.f32 u1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| ▶ | 0.4b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)) |
| ✓ | 0.9b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
| 0.3b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (-.f32 (+.f32 1 (*.f32 u2 314159265359/50000000000)) 1))) | |
| ▶ | 0.4b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2))) |
| ✓ | 0.3b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| ✓ | 5.1b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
| ▶ | 0.3b | (*.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| 0.3b | (*.f32 (sqrt.f32 (/.f32 1 (*.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (/.f32 1 (+.f32 u1 1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 14.0b | (*.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) (-.f32 1 (*.f32 (/.f32 u1 (fma.f32 u1 u1 -1)) (neg.f32 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 13.9b | (*.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))) | |
| 3.0b | (*.f32 (sqrt.f32 (+.f32 (+.f32 u1 (pow.f32 u1 3)) (*.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 5.1b | (*.f32 (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 1))) 1) | |
| 4.6b | (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| ✓ | 0.3b | (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| 5.2b | (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) 1) | |
| 0.3b | (*.f32 (sqrt.f32 (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 5.2b | (*.f32 (sqrt.f32 (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1)) 1) | |
| 14.0b | (*.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 1.7b | (*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) | |
| 8.7b | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| ▶ | 11.1b | (*.f32 (sqrt.f32 u1) 1) |
| 6.2b | (*.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 1.1b | (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
Compiled 1150 to 916 computations (20.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) |
| ✓ | 0.2b | (/.f32 (-.f32 1 u1) u1) |
| 0.3b | (*.f32 314159265359/50000000000 u2) | |
| ✓ | 0.3b | (/.f32 1 (/.f32 (-.f32 1 u1) u1)) |
Compiled 50 to 36 computations (28% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | u1 | @ | -inf | (/.f32 (-.f32 1 u1) u1) |
| 0.0ms | u1 | @ | inf | (/.f32 (-.f32 1 u1) u1) |
| 0.0ms | u1 | @ | 0 | (/.f32 (-.f32 1 u1) u1) |
| 0.0ms | u1 | @ | 0 | (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) |
| 0.0ms | u1 | @ | inf | (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) |
| 1× | batch-egg-rewrite |
| 1496× | associate-*l/ |
| 1426× | associate-/r* |
| 992× | associate-/l* |
| 866× | *-commutative |
| 526× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 55 |
| 1 | 196 | 43 |
| 2 | 2636 | 43 |
| 1× | node limit |
| Inputs |
|---|
(/.f32 1 (/.f32 (-.f32 1 u1) u1)) |
(/.f32 (-.f32 1 u1) u1) |
(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) |
| Outputs |
|---|
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u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -1 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (+.f32 u1 -1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2))) (sqrt.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) |
| 1× | egg-herbie |
| 1188× | associate-/r/ |
| 1072× | associate-/l/ |
| 562× | +-commutative |
| 520× | *-commutative |
| 478× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 518 | 6306 |
| 1 | 1423 | 5936 |
| 2 | 5183 | 5934 |
| 1× | node limit |
| Inputs |
|---|
u1 |
(+.f32 (pow.f32 u1 2) u1) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1)) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1))) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
(/.f32 1 u1) |
(-.f32 (/.f32 1 u1) 1) |
(-.f32 (/.f32 1 u1) 1) |
(-.f32 (/.f32 1 u1) 1) |
-1 |
(-.f32 (/.f32 1 u1) 1) |
(-.f32 (/.f32 1 u1) 1) |
(-.f32 (/.f32 1 u1) 1) |
-1 |
(-.f32 (/.f32 1 u1) 1) |
(-.f32 (/.f32 1 u1) 1) |
(-.f32 (/.f32 1 u1) 1) |
(sqrt.f32 -1) |
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 1) (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1)) |
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 1)) |
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) 1) (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (fma.f32 u1 u1 u1))) |
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (fma.f32 u1 u1 u1)) (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) 1)) |
(+.f32 (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (*.f32 u1 u1))) (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) u1)) |
(+.f32 (*.f32 1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))) (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) |
(+.f32 (*.f32 u1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))) (*.f32 1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) |
(+.f32 (*.f32 1 (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 1 (pow.f32 u1 3))))) |
(+.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (*.f32 1 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))))) |
(+.f32 (*.f32 (+.f32 1 (*.f32 u1 u1)) (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (*.f32 u1 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))))) |
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1) |
(*.f32 1 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 u1 (/.f32 1 (-.f32 1 u1))) |
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))) |
(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1))) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (cbrt.f32 u1) (/.f32 (pow.f32 (cbrt.f32 u1) 2) (-.f32 1 u1))) |
(*.f32 (/.f32 1 (-.f32 1 u1)) u1) |
(*.f32 (/.f32 1 (-.f32 1 u1)) (pow.f32 (/.f32 1 u1) -1)) |
(*.f32 (+.f32 1 u1) (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))) |
(*.f32 (neg.f32 u1) (/.f32 1 (+.f32 u1 -1))) |
(*.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) |
(*.f32 -1 (/.f32 (neg.f32 u1) (-.f32 1 u1))) |
(*.f32 -1 (neg.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1)) (sqrt.f32 u1)) |
(*.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1)) (/.f32 (sqrt.f32 u1) 1)) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (-.f32 1 u1)) (cbrt.f32 u1)) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (/.f32 (neg.f32 u1) (-.f32 1 u1)) -1) |
(*.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 u1 (cbrt.f32 (-.f32 1 u1)))) |
(*.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1))) (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) |
(*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 1 u1)) |
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1))) |
(*.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1))) (fma.f32 u1 u1 u1)) |
(*.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) (+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1)))) |
(*.f32 (/.f32 1 (+.f32 u1 -1)) (neg.f32 u1)) |
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1))) |
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) |
(*.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) |
(*.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)) (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1)) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (pow.f32 (/.f32 1 u1) -1) (/.f32 1 (-.f32 1 u1))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) -1) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -1)) |
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -1) (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) -1)) |
(*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 u1)) |
(*.f32 (/.f32 1 (neg.f32 (+.f32 u1 -1))) (neg.f32 (neg.f32 u1))) |
(*.f32 (/.f32 1 (*.f32 (-.f32 1 (*.f32 u1 u1)) (/.f32 1 u1))) (+.f32 1 u1)) |
(*.f32 (/.f32 1 (*.f32 (/.f32 1 u1) (-.f32 1 (pow.f32 u1 3)))) (+.f32 1 (fma.f32 u1 u1 u1))) |
(*.f32 (/.f32 1 (/.f32 (-.f32 1 u1) (pow.f32 (cbrt.f32 u1) 2))) (cbrt.f32 u1)) |
(*.f32 (/.f32 1 (-.f32 (/.f32 (/.f32 1 u1) u1) 1)) (+.f32 1 (/.f32 1 u1))) |
(*.f32 (/.f32 1 (-.f32 (pow.f32 (/.f32 1 u1) 3) 1)) (+.f32 (/.f32 (/.f32 1 u1) u1) (+.f32 1 (/.f32 1 u1)))) |
(*.f32 (/.f32 1 (-.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1)) |
(*.f32 (/.f32 u1 (neg.f32 (-.f32 1 (*.f32 u1 u1)))) (neg.f32 (+.f32 1 u1))) |
(*.f32 (/.f32 u1 (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (neg.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) |
(*.f32 (/.f32 u1 (-.f32 1 (*.f32 (neg.f32 u1) (neg.f32 u1)))) (+.f32 1 u1)) |
(*.f32 (/.f32 u1 (+.f32 1 (pow.f32 (neg.f32 u1) 3))) (+.f32 1 (-.f32 (*.f32 (neg.f32 u1) (neg.f32 u1)) (neg.f32 u1)))) |
(*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (+.f32 u1 -1))) (sqrt.f32 (neg.f32 u1))) |
(*.f32 (/.f32 (/.f32 1 (-.f32 1 u1)) -1) (neg.f32 u1)) |
(*.f32 (/.f32 (/.f32 1 (-.f32 1 u1)) (/.f32 1 (sqrt.f32 u1))) (sqrt.f32 u1)) |
(*.f32 (/.f32 (/.f32 1 (-.f32 1 u1)) (/.f32 1 (pow.f32 (cbrt.f32 u1) 2))) (cbrt.f32 u1)) |
(*.f32 (/.f32 (neg.f32 u1) (neg.f32 (-.f32 1 (*.f32 u1 u1)))) (+.f32 1 u1)) |
(*.f32 (/.f32 (neg.f32 u1) (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (+.f32 1 (fma.f32 u1 u1 u1))) |
(*.f32 (/.f32 -1 (neg.f32 (+.f32 u1 -1))) (neg.f32 u1)) |
(*.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (sqrt.f32 (+.f32 1 u1))) |
(*.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) |
(*.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 (*.f32 u1 u1)))) (cbrt.f32 (+.f32 1 u1))) |
(*.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 (pow.f32 u1 3)))) (cbrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (+.f32 u1 -1))) (cbrt.f32 (neg.f32 u1))) |
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1) |
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) |
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) |
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -2) 1/2) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3) |
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -2)) |
(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) |
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) |
(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) |
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) |
(exp.f32 (-.f32 (log.f32 u1) (log1p.f32 (neg.f32 u1)))) |
(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))) |
(+.f32 (/.f32 1 u1) -1) |
(+.f32 (/.f32 1 u1) (*.f32 (/.f32 1 u1) (neg.f32 u1))) |
(+.f32 (/.f32 1 u1) (*.f32 (neg.f32 u1) (/.f32 1 u1))) |
(+.f32 -1 (/.f32 1 u1)) |
(+.f32 (*.f32 (/.f32 1 u1) (neg.f32 u1)) (/.f32 1 u1)) |
(+.f32 (*.f32 (neg.f32 u1) (/.f32 1 u1)) (/.f32 1 u1)) |
(-.f32 (/.f32 1 u1) 1) |
(-.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 1 u1) -1))) 1) |
(*.f32 1 (+.f32 (/.f32 1 u1) -1)) |
(*.f32 (-.f32 1 u1) (/.f32 1 u1)) |
(*.f32 (+.f32 (/.f32 1 u1) -1) 1) |
(*.f32 (sqrt.f32 (-.f32 1 u1)) (*.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 u1))) |
(*.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) |
(*.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) (*.f32 (cbrt.f32 (-.f32 1 u1)) (/.f32 1 u1))) |
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)) |
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) (pow.f32 (cbrt.f32 u1) 2))) |
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) |
(*.f32 (/.f32 1 u1) (-.f32 1 u1)) |
(*.f32 (+.f32 u1 -1) (/.f32 -1 u1)) |
(*.f32 -1 (/.f32 (+.f32 u1 -1) u1)) |
(*.f32 (*.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 u1)) (sqrt.f32 (-.f32 1 u1))) |
(*.f32 (*.f32 (cbrt.f32 (-.f32 1 u1)) (/.f32 1 u1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) |
(*.f32 (/.f32 1 (sqrt.f32 u1)) (/.f32 (-.f32 1 u1) (sqrt.f32 u1))) |
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (-.f32 1 u1) (cbrt.f32 u1))) |
(*.f32 (/.f32 (-.f32 1 u1) (sqrt.f32 u1)) (/.f32 1 (sqrt.f32 u1))) |
(*.f32 (/.f32 (-.f32 1 u1) (cbrt.f32 u1)) (/.f32 1 (pow.f32 (cbrt.f32 u1) 2))) |
(*.f32 (/.f32 -1 u1) (+.f32 u1 -1)) |
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) u1)) |
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) u1) (sqrt.f32 (-.f32 1 u1))) |
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) 1)) |
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 u1))) |
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 (cbrt.f32 u1) 2))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) 1) (/.f32 (cbrt.f32 (-.f32 1 u1)) u1)) |
(*.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) u1) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) 1)) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) (sqrt.f32 u1)) (/.f32 (cbrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))) |
(*.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) (sqrt.f32 u1))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) |
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) 1) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) u1) (cbrt.f32 (-.f32 1 u1))) |
(*.f32 (/.f32 1 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (cbrt.f32 (-.f32 1 u1))) |
(*.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) |
(*.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 -1)) (sqrt.f32 (/.f32 (+.f32 u1 -1) u1))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) -1) (cbrt.f32 (/.f32 (+.f32 u1 -1) u1))) |
(*.f32 (/.f32 (-.f32 1 (*.f32 u1 u1)) (-.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (*.f32 u1 u1))) (-.f32 (*.f32 u1 u1) u1)) |
(*.f32 (/.f32 (-.f32 1 (*.f32 u1 u1)) (+.f32 (pow.f32 u1 3) (pow.f32 (*.f32 u1 u1) 3))) (+.f32 (*.f32 (*.f32 u1 u1) (*.f32 u1 u1)) (-.f32 (*.f32 u1 u1) (pow.f32 u1 3)))) |
(*.f32 (/.f32 (*.f32 (-.f32 1 (*.f32 u1 u1)) (/.f32 1 u1)) (-.f32 1 (*.f32 u1 u1))) (-.f32 1 u1)) |
(*.f32 (/.f32 (*.f32 (-.f32 1 (*.f32 u1 u1)) (/.f32 1 u1)) (+.f32 1 (pow.f32 u1 3))) (+.f32 1 (-.f32 (*.f32 u1 u1) u1))) |
(*.f32 (/.f32 (*.f32 (/.f32 1 u1) (-.f32 1 (pow.f32 u1 3))) (-.f32 1 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))) (-.f32 1 (fma.f32 u1 u1 u1))) |
(*.f32 (/.f32 (*.f32 (/.f32 1 u1) (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (pow.f32 (fma.f32 u1 u1 u1) 3))) (+.f32 1 (-.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1)))) |
(pow.f32 (+.f32 (/.f32 1 u1) -1) 1) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) -1) |
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) |
(pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3) |
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3) 1/3) |
(neg.f32 (/.f32 (+.f32 u1 -1) u1)) |
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)) |
(log.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1))) |
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 1 u1) -1)))) |
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3)) |
(expm1.f32 (log1p.f32 (+.f32 (/.f32 1 u1) -1))) |
(exp.f32 (log.f32 (+.f32 (/.f32 1 u1) -1))) |
(log1p.f32 (expm1.f32 (+.f32 (/.f32 1 u1) -1))) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) |
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 1 1/2)) |
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2)) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (sqrt.f32 u1)) |
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1)) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2)) |
(*.f32 (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2) (sqrt.f32 u1)) |
(*.f32 (/.f32 1 (sqrt.f32 (+.f32 u1 -1))) (sqrt.f32 (neg.f32 u1))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (sqrt.f32 (+.f32 1 u1))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) |
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) |
(/.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) |
(/.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) |
(/.f32 (cbrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 u1)))) |
(/.f32 -1 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) |
(/.f32 (sqrt.f32 (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (sqrt.f32 u1)))) |
(/.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 (+.f32 u1 -1) u1))) |
(/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (cbrt.f32 u1)))) |
(/.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (/.f32 1 u1))) |
(/.f32 (/.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (*.f32 (sqrt.f32 -1) 1) (sqrt.f32 (/.f32 (+.f32 u1 -1) u1))) |
(/.f32 (*.f32 -1 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (+.f32 u1 -1) u1))) |
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) |
(/.f32 (/.f32 1 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2))) (sqrt.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) |
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) |
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) |
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1) |
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) |
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
| Outputs |
|---|
u1 |
(+.f32 (pow.f32 u1 2) u1) |
(fma.f32 u1 u1 u1) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1)) |
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (*.f32 u1 u1)) |
(fma.f32 u1 (fma.f32 u1 u1 u1) u1) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1))) |
(+.f32 (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)) (*.f32 u1 u1)) |
(+.f32 (pow.f32 u1 4) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(+.f32 -1 (neg.f32 (/.f32 1 u1))) |
(+.f32 -1 (/.f32 -1 u1)) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 (/.f32 1 u1) u1)))) |
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))) |
(-.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 1 (*.f32 u1 u1))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
(neg.f32 (+.f32 (+.f32 1 (/.f32 (/.f32 1 u1) u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))) |
(-.f32 -1 (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 (*.f32 u1 u1)))) |
(+.f32 -1 (-.f32 (/.f32 -1 u1) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 (*.f32 u1 u1))))) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(+.f32 -1 (neg.f32 (/.f32 1 u1))) |
(+.f32 -1 (/.f32 -1 u1)) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 (/.f32 1 u1) u1)))) |
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))) |
(-.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 1 (*.f32 u1 u1))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
(neg.f32 (+.f32 (+.f32 1 (/.f32 (/.f32 1 u1) u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))) |
(-.f32 -1 (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 (*.f32 u1 u1)))) |
(+.f32 -1 (-.f32 (/.f32 -1 u1) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 (*.f32 u1 u1))))) |
(/.f32 1 u1) |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
-1 |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
-1 |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(sqrt.f32 -1) |
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1)))) |
(-.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 u1) (sqrt.f32 -1))) |
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1)))) |
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))) |
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 (*.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (*.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1)))) |
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (*.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))) |
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (+.f32 -1/2 (*.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (*.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 (*.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1))) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) |
(+.f32 (sqrt.f32 -1) (/.f32 (*.f32 1/2 (sqrt.f32 -1)) u1)) |
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
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(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (fabs.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (fabs.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 -1 (+.f32 u1 -1)))) |
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (fabs.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2)) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (fabs.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 -1 (+.f32 u1 -1)))) |
(*.f32 (/.f32 1 (sqrt.f32 (+.f32 u1 -1))) (sqrt.f32 (neg.f32 u1))) |
(/.f32 (*.f32 1 (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 u1 -1))) |
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 -1))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (sqrt.f32 (+.f32 1 u1))) |
(/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 u1 1))) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) |
(*.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (*.f32 u1 u1))))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) |
(*.f32 (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (pow.f32 u1 3))))) |
(*.f32 (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 1))) (/.f32 (sqrt.f32 u1) (hypot.f32 1 (pow.f32 (neg.f32 u1) 3/2)))) |
(*.f32 (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 1))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (pow.f32 u1 3))))) |
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) |
(/.f32 1 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) |
(/.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) |
(/.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) |
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))) |
(/.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) |
(/.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))) |
(/.f32 (cbrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 u1)))) |
(*.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1))) |
(/.f32 (*.f32 (cbrt.f32 u1) (cbrt.f32 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 -1 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) |
(/.f32 1 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) |
(/.f32 (sqrt.f32 (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (sqrt.f32 u1)))) |
(*.f32 (/.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (sqrt.f32 u1))) |
(/.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 (+.f32 u1 -1) u1))) |
(/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (cbrt.f32 u1)))) |
(*.f32 (/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (cbrt.f32 u1))) |
(*.f32 (sqrt.f32 (cbrt.f32 u1)) (/.f32 (fabs.f32 (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (/.f32 1 u1))) |
(/.f32 1 (*.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (/.f32 1 u1)))) |
(/.f32 (/.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1))) |
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (*.f32 (sqrt.f32 -1) 1) (sqrt.f32 (/.f32 (+.f32 u1 -1) u1))) |
(/.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 (+.f32 u1 -1) u1))) |
(/.f32 (*.f32 -1 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (+.f32 u1 -1) u1))) |
(/.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (+.f32 u1 -1) u1))) |
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) |
(/.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)))) |
(/.f32 (sqrt.f32 u1) (*.f32 (fabs.f32 (cbrt.f32 (-.f32 1 u1))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))) |
(/.f32 (/.f32 (sqrt.f32 u1) (fabs.f32 (cbrt.f32 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) |
(/.f32 (/.f32 1 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2))) (sqrt.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) |
(/.f32 1 (*.f32 (sqrt.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))) 2)))) |
(/.f32 1 (*.f32 (fabs.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))))) |
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) |
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1) |
(/.f32 1 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) |
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
Compiled 11 to 7 computations (36.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (sqrt.f32 (-.f32 1 u1)) |
| ✓ | 0.2b | (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
Compiled 30 to 20 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | u1 | @ | inf | (sqrt.f32 (-.f32 1 u1)) |
| 0.0ms | u1 | @ | -inf | (sqrt.f32 (-.f32 1 u1)) |
| 0.0ms | u1 | @ | 0 | (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
| 0.0ms | u1 | @ | inf | (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
| 0.0ms | u1 | @ | -inf | (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
| 1× | batch-egg-rewrite |
| 1914× | add-sqr-sqrt |
| 1898× | *-un-lft-identity |
| 1770× | add-cube-cbrt |
| 1750× | add-cbrt-cube |
| 180× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 186 | 28 |
| 2 | 2404 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(sqrt.f32 (-.f32 1 u1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) (pow.f32 (-.f32 1 u1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 u1) (*.f32 (cbrt.f32 (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (neg.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 u1 1/4) 1) (/.f32 (pow.f32 u1 1/4) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 u1 1/4) (cbrt.f32 (-.f32 1 u1))) (/.f32 (pow.f32 u1 1/4) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 u1) 1) (/.f32 (cbrt.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (cbrt.f32 (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) 1/2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (+.f32 u1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 1 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 1 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 1 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u1)))))))) |
| 1× | egg-herbie |
| 1164× | associate-/r* |
| 920× | distribute-rgt-in |
| 896× | distribute-lft-in |
| 722× | associate-+r+ |
| 694× | associate-/l* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1824 |
| 1 | 441 | 1752 |
| 2 | 1525 | 1688 |
| 3 | 5992 | 1686 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f32 -1) |
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
1 |
(+.f32 1 (*.f32 -1/2 u1)) |
(+.f32 1 (+.f32 (*.f32 -1/8 (pow.f32 u1 2)) (*.f32 -1/2 u1))) |
(+.f32 1 (+.f32 (*.f32 -1/8 (pow.f32 u1 2)) (+.f32 (*.f32 -1/16 (pow.f32 u1 3)) (*.f32 -1/2 u1)))) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) |
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) |
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(*.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) (pow.f32 (-.f32 1 u1) -1/2))) |
(*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (cbrt.f32 u1) (*.f32 (cbrt.f32 (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) -1/2))) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1)) |
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (neg.f32 (sqrt.f32 (-.f32 1 u1))))) |
(*.f32 (/.f32 1 (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4))) |
(*.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))) |
(*.f32 (/.f32 (pow.f32 u1 1/4) 1) (/.f32 (pow.f32 u1 1/4) (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (/.f32 (pow.f32 u1 1/4) (cbrt.f32 (-.f32 1 u1))) (/.f32 (pow.f32 u1 1/4) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))) |
(*.f32 (/.f32 (cbrt.f32 u1) 1) (/.f32 (cbrt.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (/.f32 (cbrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (cbrt.f32 (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) 1/4))) |
(*.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(pow.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) |
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) |
(pow.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) 1/3) |
(pow.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) -1) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) |
(neg.f32 (/.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) |
(cbrt.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) |
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1)))) 1) |
(*.f32 1 (sqrt.f32 (-.f32 1 u1))) |
(*.f32 (sqrt.f32 (-.f32 1 u1)) 1) |
(*.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4)) |
(*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))) |
(*.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 u1))) |
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) 1/2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 1/2)) |
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) |
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (+.f32 u1 1))) |
(pow.f32 (-.f32 1 u1) 1/2) |
(pow.f32 (sqrt.f32 (-.f32 1 u1)) 1) |
(pow.f32 (pow.f32 (-.f32 1 u1) 1/4) 2) |
(pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) 3) |
(pow.f32 (pow.f32 (-.f32 1 u1) 3/2) 1/3) |
(fabs.f32 (sqrt.f32 (-.f32 1 u1))) |
(log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1)))) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 1 u1))))) |
(cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1)))) |
(exp.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) |
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2)) |
(exp.f32 (*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1)) |
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u1)))) |
| Outputs |
|---|
(sqrt.f32 -1) |
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))) |
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))) |
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))) |
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))) (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))) |
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))) |
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1)) (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3))))) |
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1)) (/.f32 (+.f32 1/2 (*.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (pow.f32 u1 3))))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) |
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) |
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(+.f32 (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) |
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)))) |
1 |
(+.f32 1 (*.f32 -1/2 u1)) |
(+.f32 1 (*.f32 u1 -1/2)) |
(fma.f32 u1 -1/2 1) |
(+.f32 1 (+.f32 (*.f32 -1/8 (pow.f32 u1 2)) (*.f32 -1/2 u1))) |
(+.f32 1 (fma.f32 -1/8 (*.f32 u1 u1) (*.f32 u1 -1/2))) |
(+.f32 (fma.f32 u1 -1/2 1) (*.f32 u1 (*.f32 u1 -1/8))) |
(fma.f32 u1 -1/2 (fma.f32 u1 (*.f32 u1 -1/8) 1)) |
(+.f32 1 (+.f32 (*.f32 -1/8 (pow.f32 u1 2)) (+.f32 (*.f32 -1/16 (pow.f32 u1 3)) (*.f32 -1/2 u1)))) |
(+.f32 1 (fma.f32 -1/8 (*.f32 u1 u1) (fma.f32 -1/16 (pow.f32 u1 3) (*.f32 u1 -1/2)))) |
(+.f32 1 (fma.f32 (*.f32 u1 u1) -1/8 (fma.f32 (pow.f32 u1 3) -1/16 (*.f32 u1 -1/2)))) |
(+.f32 (fma.f32 u1 -1/2 1) (*.f32 (*.f32 u1 u1) (+.f32 -1/8 (*.f32 u1 -1/16)))) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) |
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) (pow.f32 (-.f32 1 u1) -1/2))) |
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) |
(*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (cbrt.f32 u1) (*.f32 (cbrt.f32 (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) -1/2))) |
(*.f32 (cbrt.f32 u1) (*.f32 (pow.f32 (-.f32 1 u1) -1/2) (cbrt.f32 (sqrt.f32 u1)))) |
(*.f32 (cbrt.f32 (sqrt.f32 u1)) (*.f32 (pow.f32 (-.f32 1 u1) -1/2) (cbrt.f32 u1))) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) |
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (neg.f32 (sqrt.f32 (-.f32 1 u1))))) |
(*.f32 1 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(*.f32 (/.f32 1 (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4))) |
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (neg.f32 (sqrt.f32 (-.f32 1 u1))))) |
(*.f32 1 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(*.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))) |
(/.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (-.f32 1 u1))) |
(/.f32 (sqrt.f32 u1) (*.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))) |
(*.f32 (/.f32 (pow.f32 u1 1/4) 1) (/.f32 (pow.f32 u1 1/4) (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (neg.f32 (sqrt.f32 (-.f32 1 u1))))) |
(*.f32 1 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(*.f32 (/.f32 (pow.f32 u1 1/4) (cbrt.f32 (-.f32 1 u1))) (/.f32 (pow.f32 u1 1/4) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))) |
(*.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))) |
(/.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (-.f32 1 u1))) |
(/.f32 (sqrt.f32 u1) (*.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))) |
(*.f32 (/.f32 (cbrt.f32 u1) 1) (/.f32 (cbrt.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (cbrt.f32 u1) (/.f32 (cbrt.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (/.f32 (cbrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (cbrt.f32 (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) 1/4))) |
(*.f32 (cbrt.f32 u1) (/.f32 (cbrt.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) |
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) 1/3) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) -1) |
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) |
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) |
(/.f32 1 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(neg.f32 (/.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 (-.f32 1 u1))))) |
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (neg.f32 (sqrt.f32 (-.f32 1 u1))))) |
(*.f32 1 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(cbrt.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1)))) 1) |
(sqrt.f32 (-.f32 1 u1)) |
(*.f32 1 (sqrt.f32 (-.f32 1 u1))) |
(sqrt.f32 (-.f32 1 u1)) |
(*.f32 (sqrt.f32 (-.f32 1 u1)) 1) |
(sqrt.f32 (-.f32 1 u1)) |
(*.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4)) |
(sqrt.f32 (-.f32 1 u1)) |
(*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))) |
(*.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 u1))) |
(sqrt.f32 (-.f32 1 u1)) |
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)) 1/2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 1/2)) |
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) |
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) |
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (+.f32 u1 1))) |
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (+.f32 1 u1))) |
(pow.f32 (-.f32 1 u1) 1/2) |
(sqrt.f32 (-.f32 1 u1)) |
(pow.f32 (sqrt.f32 (-.f32 1 u1)) 1) |
(sqrt.f32 (-.f32 1 u1)) |
(pow.f32 (pow.f32 (-.f32 1 u1) 1/4) 2) |
(sqrt.f32 (-.f32 1 u1)) |
(pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) 3) |
(sqrt.f32 (-.f32 1 u1)) |
(pow.f32 (pow.f32 (-.f32 1 u1) 3/2) 1/3) |
(cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2)) |
(fabs.f32 (sqrt.f32 (-.f32 1 u1))) |
(sqrt.f32 (-.f32 1 u1)) |
(log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1)))) |
(sqrt.f32 (-.f32 1 u1)) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 1 u1))))) |
(sqrt.f32 (-.f32 1 u1)) |
(cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1)))) |
(sqrt.f32 (-.f32 1 u1)) |
(exp.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) |
(pow.f32 (exp.f32 1/2) (log1p.f32 (neg.f32 u1))) |
(sqrt.f32 (exp.f32 (log1p.f32 (neg.f32 u1)))) |
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2)) |
(pow.f32 (exp.f32 1/2) (log1p.f32 (neg.f32 u1))) |
(sqrt.f32 (exp.f32 (log1p.f32 (neg.f32 u1)))) |
(exp.f32 (*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1)) |
(pow.f32 (exp.f32 1/2) (log1p.f32 (neg.f32 u1))) |
(sqrt.f32 (exp.f32 (log1p.f32 (neg.f32 u1)))) |
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u1)))) |
(sqrt.f32 (-.f32 1 u1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) | |
| 0.2b | (/.f32 u1 (-.f32 1 u1)) | |
| ✓ | 0.3b | (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2) |
| ✓ | 1.0b | (pow.f32 98696044010906577398881/2500000000000000000000 1/2) |
Compiled 49 to 37 computations (24.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | u2 | @ | 0 | (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2) |
| 0.0ms | u2 | @ | inf | (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2) |
| 0.0ms | u2 | @ | -inf | (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2) |
| 1× | batch-egg-rewrite |
| 1190× | add-sqr-sqrt |
| 1164× | *-un-lft-identity |
| 1114× | pow1 |
| 1096× | add-cube-cbrt |
| 1088× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 8 |
| 1 | 149 | 8 |
| 2 | 1490 | 8 |
| 1× | node limit |
| Inputs |
|---|
(pow.f32 98696044010906577398881/2500000000000000000000 1/2) |
(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 314159265359/50000000000))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 314159265359/50000000000 u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))))))) |
| 1× | egg-herbie |
| 1038× | *-commutative |
| 888× | log-prod |
| 760× | associate--l+ |
| 734× | distribute-lft-out |
| 632× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 162 |
| 1 | 78 | 162 |
| 2 | 269 | 162 |
| 3 | 1611 | 162 |
| 4 | 4580 | 162 |
| 5 | 7084 | 162 |
| 1× | node limit |
| Inputs |
|---|
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
314159265359/50000000000 |
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 u2)) 1) |
(pow.f32 (*.f32 314159265359/50000000000 u2) 1) |
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2) |
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3) |
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3) |
(sqrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2)) |
(log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)) |
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3)) |
(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) |
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2))) |
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))) |
| Outputs |
|---|
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
(*.f32 314159265359/50000000000 u2) |
314159265359/50000000000 |
(-.f32 (+.f32 1 (*.f32 314159265359/50000000000 u2)) 1) |
(*.f32 314159265359/50000000000 u2) |
(pow.f32 (*.f32 314159265359/50000000000 u2) 1) |
(*.f32 314159265359/50000000000 u2) |
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2) |
(*.f32 314159265359/50000000000 u2) |
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3) |
(*.f32 314159265359/50000000000 u2) |
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3) |
(*.f32 314159265359/50000000000 u2) |
(sqrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 2)) |
(*.f32 314159265359/50000000000 u2) |
(log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)) |
(*.f32 314159265359/50000000000 u2) |
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3)) |
(*.f32 314159265359/50000000000 u2) |
(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 314159265359/50000000000 u2) |
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 314159265359/50000000000 u2) |
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 314159265359/50000000000 u2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) | |
| 0.2b | (/.f32 u1 (-.f32 1 u1)) | |
| 0.3b | (*.f32 314159265359/50000000000 u2) | |
| ✓ | 0.3b | (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) |
Compiled 55 to 41 computations (25.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | u2 | @ | inf | (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) |
| 2.0ms | u2 | @ | -inf | (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) |
| 1.0ms | u2 | @ | 0 | (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) |
| 1× | batch-egg-rewrite |
| 1606× | add-sqr-sqrt |
| 1568× | *-un-lft-identity |
| 1482× | add-cube-cbrt |
| 1468× | add-cbrt-cube |
| 170× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 11 |
| 1 | 204 | 11 |
| 2 | 2067 | 11 |
| 1× | node limit |
| Inputs |
|---|
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) 1) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) 3) (pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2) 3) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f32 (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) |
| 1× | egg-herbie |
| 1600× | distribute-lft-neg-in |
| 1224× | associate-/l* |
| 932× | *-commutative |
| 924× | associate-/r* |
| 792× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 426 |
| 1 | 162 | 418 |
| 2 | 545 | 418 |
| 3 | 2119 | 418 |
| 4 | 5418 | 418 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) |
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))) |
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))) |
(*.f32 (pow.f32 1 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (pow.f32 1 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (pow.f32 1 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (pow.f32 1 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (pow.f32 1 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (pow.f32 1 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (pow.f32 1 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (pow.f32 1 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) |
(*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)) |
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) |
(*.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))) |
(*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))) |
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) 1) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6)) |
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(*.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) 3) (pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) 3)) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2) 3) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) |
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) |
(cos.f32 (*.f32 314159265359/50000000000 u2)) |
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)) |
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
| Outputs |
|---|
1 |
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) |
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) |
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))) |
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))) |
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)) |
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))) |
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))) |
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))) |
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1))) |
(*.f32 (pow.f32 1 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (pow.f32 1 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (pow.f32 1 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (pow.f32 1 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (pow.f32 1 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (pow.f32 1 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (pow.f32 1 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (pow.f32 1 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) 1) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6)) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) 3) (pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) 3)) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2) 3) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(cos.f32 (*.f32 314159265359/50000000000 u2)) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(cos.f32 (*.f32 u2 314159265359/50000000000)) |
Compiled 20173 to 15266 computations (24.3% saved)
37 alts after pruning (30 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 980 | 13 | 993 |
| Fresh | 10 | 17 | 27 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 7 | 9 |
| Total | 993 | 37 | 1030 |
| Status | Error | Program |
|---|---|---|
| 1.5b | (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2))) | |
| ✓ | 1.5b | (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| ▶ | 0.3b | (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| 0.6b | (*.f32 (/.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (/.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 7.8b | (*.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 u1 -1/2))) 1) | |
| 0.5b | (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2))) | |
| ✓ | 5.2b | (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) 1) |
| 0.4b | (*.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2))) | |
| 5.2b | (*.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1) | |
| 0.4b | (*.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 5.2b | (*.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1) | |
| 6.3b | (*.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 5.3b | (*.f32 (*.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1)) 1) | |
| ▶ | 8.3b | (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) 1) |
| 0.3b | (*.f32 (sqrt.f32 (/.f32 (*.f32 (+.f32 u1 1) u1) (-.f32 1 (*.f32 u1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 0.3b | (*.f32 (sqrt.f32 (/.f32 (*.f32 1 (*.f32 u1 u1)) (-.f32 u1 (*.f32 u1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| ✓ | 0.9b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
| 0.3b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (-.f32 (+.f32 1 (*.f32 u2 314159265359/50000000000)) 1))) | |
| ✓ | 0.4b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2))) |
| ✓ | 0.3b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| ✓ | 5.1b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
| 0.3b | (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 14.0b | (*.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) (-.f32 1 (*.f32 (/.f32 u1 (fma.f32 u1 u1 -1)) (neg.f32 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 14.0b | (*.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2))) | |
| 3.0b | (*.f32 (sqrt.f32 (+.f32 (+.f32 u1 (pow.f32 u1 3)) (*.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 5.1b | (*.f32 (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 1))) 1) | |
| 4.6b | (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 5.2b | (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) 1) | |
| ▶ | 0.4b | (*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| 0.3b | (*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| ▶ | 5.2b | (*.f32 (sqrt.f32 (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1)) 1) |
| 14.0b | (*.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 1.7b | (*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) | |
| 8.7b | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| ✓ | 11.1b | (*.f32 (sqrt.f32 u1) 1) |
| ▶ | 6.2b | (*.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| 1.1b | (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
Compiled 1109 to 882 computations (20.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (cos.f32 (*.f32 314159265359/50000000000 u2)) | |
| ✓ | 0.1b | (+.f32 (/.f32 1 u1) -1) |
| ✓ | 0.2b | (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) |
| 0.3b | (*.f32 314159265359/50000000000 u2) |
Compiled 43 to 34 computations (20.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | u1 | @ | 0 | (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) |
| 0.0ms | u1 | @ | inf | (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) |
| 0.0ms | u1 | @ | -inf | (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) |
| 0.0ms | u1 | @ | -inf | (+.f32 (/.f32 1 u1) -1) |
| 0.0ms | u1 | @ | 0 | (+.f32 (/.f32 1 u1) -1) |
| 1× | batch-egg-rewrite |
| 1764× | add-sqr-sqrt |
| 1732× | *-un-lft-identity |
| 1624× | add-cube-cbrt |
| 1612× | add-cbrt-cube |
| 174× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 193 | 32 |
| 2 | 2218 | 32 |
| 1× | node limit |
| Inputs |
|---|
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) |
(+.f32 (/.f32 1 u1) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 -1/2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2) (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) -1/2) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 -1/2 (log.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 -1/2 (log.f32 (+.f32 (/.f32 1 u1) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 1 u1) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 u1 -2) (+.f32 (/.f32 1 u1) 1)) (/.f32 1 (+.f32 (/.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (/.f32 1 u1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 1 u1) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 u1 -2) -1) (/.f32 1 (+.f32 (/.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 -1 (pow.f32 u1 -3)) (/.f32 1 (+.f32 (pow.f32 u1 -2) (-.f32 1 (/.f32 -1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 u1 -1/2) 1) (-.f32 (pow.f32 u1 -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (/.f32 1 u1) 1) (+.f32 (pow.f32 u1 -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 u1 -2) (-.f32 1 (/.f32 -1 u1))) (+.f32 -1 (pow.f32 u1 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 u1 -2) -1) (+.f32 (/.f32 1 u1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 (pow.f32 u1 -2) (-.f32 1 (/.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 1 (-.f32 (pow.f32 u1 -2) (/.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 u1 -2)) (-.f32 -1 (/.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 u1 -2) -1)) (neg.f32 (+.f32 (/.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 -1 (pow.f32 u1 -3))) (neg.f32 (+.f32 (pow.f32 u1 -2) (-.f32 1 (/.f32 -1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (/.f32 1 u1) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (/.f32 1 u1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u1 -1/2) (pow.f32 u1 -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (/.f32 1 (cbrt.f32 u1)) -1))))) |
| 1× | egg-herbie |
| 1286× | associate-*r/ |
| 1188× | associate-*r* |
| 972× | associate-*l* |
| 904× | associate-+r+ |
| 780× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 155 | 1852 |
| 1 | 342 | 1802 |
| 2 | 1078 | 1620 |
| 3 | 5464 | 1620 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f32 u1) |
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3)))) |
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))) |
(+.f32 (*.f32 5/16 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (sqrt.f32 u1) (+.f32 (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(/.f32 1 u1) |
(-.f32 (/.f32 1 u1) 1) |
(-.f32 (/.f32 1 u1) 1) |
(-.f32 (/.f32 1 u1) 1) |
-1 |
(-.f32 (/.f32 1 u1) 1) |
(-.f32 (/.f32 1 u1) 1) |
(-.f32 (/.f32 1 u1) 1) |
-1 |
(-.f32 (/.f32 1 u1) 1) |
(-.f32 (/.f32 1 u1) 1) |
(-.f32 (/.f32 1 u1) 1) |
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) 1) |
(*.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) |
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1) |
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4)) |
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1))) |
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) |
(*.f32 (pow.f32 1 -1/2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) |
(*.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2) (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2)) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) -1/2) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2)) |
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)) |
(log.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) |
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))) |
(cbrt.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 3)) |
(expm1.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) |
(exp.f32 (*.f32 -1/2 (log.f32 (+.f32 (/.f32 1 u1) -1)))) |
(exp.f32 (*.f32 (*.f32 -1/2 (log.f32 (+.f32 (/.f32 1 u1) -1))) 1)) |
(log1p.f32 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) |
(-.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 1 u1) -1))) 1) |
(-.f32 (/.f32 (pow.f32 u1 -2) (+.f32 (/.f32 1 u1) 1)) (/.f32 1 (+.f32 (/.f32 1 u1) 1))) |
(*.f32 1 (+.f32 (/.f32 1 u1) -1)) |
(*.f32 (+.f32 (/.f32 1 u1) -1) 1) |
(*.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) |
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) |
(*.f32 (+.f32 (pow.f32 u1 -2) -1) (/.f32 1 (+.f32 (/.f32 1 u1) 1))) |
(*.f32 (+.f32 -1 (pow.f32 u1 -3)) (/.f32 1 (+.f32 (pow.f32 u1 -2) (-.f32 1 (/.f32 -1 u1))))) |
(*.f32 (+.f32 (pow.f32 u1 -1/2) 1) (-.f32 (pow.f32 u1 -1/2) 1)) |
(/.f32 1 (/.f32 (+.f32 (/.f32 1 u1) 1) (+.f32 (pow.f32 u1 -2) -1))) |
(/.f32 1 (/.f32 (+.f32 (pow.f32 u1 -2) (-.f32 1 (/.f32 -1 u1))) (+.f32 -1 (pow.f32 u1 -3)))) |
(/.f32 (+.f32 (pow.f32 u1 -2) -1) (+.f32 (/.f32 1 u1) 1)) |
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 (pow.f32 u1 -2) (-.f32 1 (/.f32 -1 u1)))) |
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 1 (-.f32 (pow.f32 u1 -2) (/.f32 -1 u1)))) |
(/.f32 (-.f32 1 (pow.f32 u1 -2)) (-.f32 -1 (/.f32 1 u1))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 -2) -1)) (neg.f32 (+.f32 (/.f32 1 u1) 1))) |
(/.f32 (neg.f32 (+.f32 -1 (pow.f32 u1 -3))) (neg.f32 (+.f32 (pow.f32 u1 -2) (-.f32 1 (/.f32 -1 u1))))) |
(pow.f32 (+.f32 (/.f32 1 u1) -1) 1) |
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) |
(pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3) |
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3) 1/3) |
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)) |
(log.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1))) |
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 1 u1) -1)))) |
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3)) |
(expm1.f32 (log1p.f32 (+.f32 (/.f32 1 u1) -1))) |
(exp.f32 (log.f32 (+.f32 (/.f32 1 u1) -1))) |
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1)) |
(log1p.f32 (expm1.f32 (+.f32 (/.f32 1 u1) -1))) |
(fma.f32 1 (/.f32 1 u1) -1) |
(fma.f32 (pow.f32 u1 -1/2) (pow.f32 u1 -1/2) -1) |
(fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (/.f32 1 (cbrt.f32 u1)) -1) |
| Outputs |
|---|
(sqrt.f32 u1) |
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3)))) |
(fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1)) |
(fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1)) |
(+.f32 (sqrt.f32 u1) (+.f32 (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))) |
(+.f32 (sqrt.f32 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))) |
(fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1))) |
(+.f32 (*.f32 5/16 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (sqrt.f32 u1) (+.f32 (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))) |
(fma.f32 5/16 (sqrt.f32 (pow.f32 u1 7)) (+.f32 (sqrt.f32 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))) |
(+.f32 (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))) (fma.f32 5/16 (sqrt.f32 (pow.f32 u1 7)) (sqrt.f32 u1))) |
(fma.f32 5/16 (pow.f32 u1 7/2) (fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1)))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) |
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) |
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(+.f32 (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) |
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) |
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) |
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(+.f32 (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) |
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)))) |
(/.f32 1 u1) |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
-1 |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
-1 |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(-.f32 (/.f32 1 u1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) 1) |
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) |
(*.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) |
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) |
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1) |
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) |
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4)) |
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) |
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1))) |
(*.f32 (cbrt.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2)) (cbrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1))))) |
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) |
(*.f32 (cbrt.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2)) (cbrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1))))) |
(*.f32 (pow.f32 1 -1/2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) |
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) |
(*.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2) (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2)) |
(pow.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1))) -1) |
(/.f32 1 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) -1/2) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -1/2)) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))) 2) -1/2) (pow.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))) -1/2)) |
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)) |
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) |
(log.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) |
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) |
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))) |
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) |
(cbrt.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 3)) |
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) |
(expm1.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) |
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) |
(exp.f32 (*.f32 -1/2 (log.f32 (+.f32 (/.f32 1 u1) -1)))) |
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) |
(exp.f32 (*.f32 (*.f32 -1/2 (log.f32 (+.f32 (/.f32 1 u1) -1))) 1)) |
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) |
(log1p.f32 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) |
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) |
(-.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 1 u1) -1))) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(-.f32 (/.f32 (pow.f32 u1 -2) (+.f32 (/.f32 1 u1) 1)) (/.f32 1 (+.f32 (/.f32 1 u1) 1))) |
(-.f32 (/.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (/.f32 1 (+.f32 1 (/.f32 1 u1)))) |
(+.f32 (/.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (/.f32 -1 (+.f32 1 (/.f32 1 u1)))) |
(/.f32 (+.f32 -1 (pow.f32 u1 -2)) (+.f32 1 (/.f32 1 u1))) |
(*.f32 1 (+.f32 (/.f32 1 u1) -1)) |
(+.f32 -1 (/.f32 1 u1)) |
(*.f32 (+.f32 (/.f32 1 u1) -1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(*.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) |
(+.f32 -1 (/.f32 1 u1)) |
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)) |
(+.f32 -1 (/.f32 1 u1)) |
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) |
(+.f32 -1 (/.f32 1 u1)) |
(*.f32 (+.f32 (pow.f32 u1 -2) -1) (/.f32 1 (+.f32 (/.f32 1 u1) 1))) |
(-.f32 (/.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (/.f32 1 (+.f32 1 (/.f32 1 u1)))) |
(+.f32 (/.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (/.f32 -1 (+.f32 1 (/.f32 1 u1)))) |
(/.f32 (+.f32 -1 (pow.f32 u1 -2)) (+.f32 1 (/.f32 1 u1))) |
(*.f32 (+.f32 -1 (pow.f32 u1 -3)) (/.f32 1 (+.f32 (pow.f32 u1 -2) (-.f32 1 (/.f32 -1 u1))))) |
(*.f32 (+.f32 -1 (pow.f32 u1 -3)) (/.f32 1 (-.f32 (+.f32 (pow.f32 u1 -2) 1) (/.f32 -1 u1)))) |
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 1 (+.f32 (/.f32 1 u1) (pow.f32 u1 -2)))) |
(/.f32 (-.f32 1 (pow.f32 u1 -3)) (+.f32 -1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))) |
(*.f32 (+.f32 (pow.f32 u1 -1/2) 1) (-.f32 (pow.f32 u1 -1/2) 1)) |
(+.f32 -1 (/.f32 1 u1)) |
(/.f32 1 (/.f32 (+.f32 (/.f32 1 u1) 1) (+.f32 (pow.f32 u1 -2) -1))) |
(-.f32 (/.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (/.f32 1 (+.f32 1 (/.f32 1 u1)))) |
(+.f32 (/.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (/.f32 -1 (+.f32 1 (/.f32 1 u1)))) |
(/.f32 (+.f32 -1 (pow.f32 u1 -2)) (+.f32 1 (/.f32 1 u1))) |
(/.f32 1 (/.f32 (+.f32 (pow.f32 u1 -2) (-.f32 1 (/.f32 -1 u1))) (+.f32 -1 (pow.f32 u1 -3)))) |
(*.f32 (+.f32 -1 (pow.f32 u1 -3)) (/.f32 1 (-.f32 (+.f32 (pow.f32 u1 -2) 1) (/.f32 -1 u1)))) |
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 1 (+.f32 (/.f32 1 u1) (pow.f32 u1 -2)))) |
(/.f32 (-.f32 1 (pow.f32 u1 -3)) (+.f32 -1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))) |
(/.f32 (+.f32 (pow.f32 u1 -2) -1) (+.f32 (/.f32 1 u1) 1)) |
(-.f32 (/.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (/.f32 1 (+.f32 1 (/.f32 1 u1)))) |
(+.f32 (/.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (/.f32 -1 (+.f32 1 (/.f32 1 u1)))) |
(/.f32 (+.f32 -1 (pow.f32 u1 -2)) (+.f32 1 (/.f32 1 u1))) |
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 (pow.f32 u1 -2) (-.f32 1 (/.f32 -1 u1)))) |
(*.f32 (+.f32 -1 (pow.f32 u1 -3)) (/.f32 1 (-.f32 (+.f32 (pow.f32 u1 -2) 1) (/.f32 -1 u1)))) |
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 1 (+.f32 (/.f32 1 u1) (pow.f32 u1 -2)))) |
(/.f32 (-.f32 1 (pow.f32 u1 -3)) (+.f32 -1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))) |
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 1 (-.f32 (pow.f32 u1 -2) (/.f32 -1 u1)))) |
(*.f32 (+.f32 -1 (pow.f32 u1 -3)) (/.f32 1 (-.f32 (+.f32 (pow.f32 u1 -2) 1) (/.f32 -1 u1)))) |
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 1 (+.f32 (/.f32 1 u1) (pow.f32 u1 -2)))) |
(/.f32 (-.f32 1 (pow.f32 u1 -3)) (+.f32 -1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))) |
(/.f32 (-.f32 1 (pow.f32 u1 -2)) (-.f32 -1 (/.f32 1 u1))) |
(-.f32 (/.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (/.f32 1 (+.f32 1 (/.f32 1 u1)))) |
(+.f32 (/.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (/.f32 -1 (+.f32 1 (/.f32 1 u1)))) |
(/.f32 (+.f32 -1 (pow.f32 u1 -2)) (+.f32 1 (/.f32 1 u1))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 -2) -1)) (neg.f32 (+.f32 (/.f32 1 u1) 1))) |
(-.f32 (/.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (/.f32 1 (+.f32 1 (/.f32 1 u1)))) |
(+.f32 (/.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (/.f32 -1 (+.f32 1 (/.f32 1 u1)))) |
(/.f32 (+.f32 -1 (pow.f32 u1 -2)) (+.f32 1 (/.f32 1 u1))) |
(/.f32 (neg.f32 (+.f32 -1 (pow.f32 u1 -3))) (neg.f32 (+.f32 (pow.f32 u1 -2) (-.f32 1 (/.f32 -1 u1))))) |
(*.f32 (+.f32 -1 (pow.f32 u1 -3)) (/.f32 1 (-.f32 (+.f32 (pow.f32 u1 -2) 1) (/.f32 -1 u1)))) |
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 1 (+.f32 (/.f32 1 u1) (pow.f32 u1 -2)))) |
(/.f32 (-.f32 1 (pow.f32 u1 -3)) (+.f32 -1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))) |
(pow.f32 (+.f32 (/.f32 1 u1) -1) 1) |
(+.f32 -1 (/.f32 1 u1)) |
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) |
(+.f32 -1 (/.f32 1 u1)) |
(pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3) |
(+.f32 -1 (/.f32 1 u1)) |
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3) 1/3) |
(+.f32 -1 (/.f32 1 u1)) |
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)) |
(+.f32 -1 (/.f32 1 u1)) |
(log.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1))) |
(+.f32 -1 (/.f32 1 u1)) |
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 1 u1) -1)))) |
(+.f32 -1 (/.f32 1 u1)) |
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3)) |
(+.f32 -1 (/.f32 1 u1)) |
(expm1.f32 (log1p.f32 (+.f32 (/.f32 1 u1) -1))) |
(+.f32 -1 (/.f32 1 u1)) |
(exp.f32 (log.f32 (+.f32 (/.f32 1 u1) -1))) |
(+.f32 -1 (/.f32 1 u1)) |
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1)) |
(+.f32 -1 (/.f32 1 u1)) |
(log1p.f32 (expm1.f32 (+.f32 (/.f32 1 u1) -1))) |
(+.f32 -1 (/.f32 1 u1)) |
(fma.f32 1 (/.f32 1 u1) -1) |
(+.f32 -1 (/.f32 1 u1)) |
(fma.f32 (pow.f32 u1 -1/2) (pow.f32 u1 -1/2) -1) |
(+.f32 -1 (/.f32 1 u1)) |
(fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (/.f32 1 (cbrt.f32 u1)) -1) |
(+.f32 -1 (/.f32 (cbrt.f32 (pow.f32 u1 -2)) (cbrt.f32 u1))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (sqrt.f32 (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1)) |
| ✓ | 0.2b | (/.f32 -1 (+.f32 -1 u1)) |
| ✓ | 0.3b | (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1) |
Compiled 39 to 30 computations (23.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | u1 | @ | 0 | (sqrt.f32 (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1)) |
| 0.0ms | u1 | @ | inf | (sqrt.f32 (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1)) |
| 0.0ms | u1 | @ | 0 | (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1) |
| 0.0ms | u1 | @ | inf | (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1) |
| 0.0ms | u1 | @ | inf | (/.f32 -1 (+.f32 -1 u1)) |
| 1× | batch-egg-rewrite |
| 1948× | add-sqr-sqrt |
| 1932× | *-un-lft-identity |
| 1798× | add-cube-cbrt |
| 1778× | add-cbrt-cube |
| 186× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 55 |
| 1 | 193 | 51 |
| 2 | 2430 | 51 |
| 1× | node limit |
| Inputs |
|---|
(*.f32 (/.f32 -1 (+.f32 -1 u1)) u1) |
(/.f32 -1 (+.f32 -1 u1)) |
(sqrt.f32 (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (/.f32 (+.f32 -1 u1) u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u1 (*.f32 (+.f32 -1 u1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u1 (neg.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 -1 u1) (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 u1) (+.f32 -1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (neg.f32 u1) 1) (+.f32 -1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (neg.f32 u1) (sqrt.f32 (+.f32 -1 u1))) (sqrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (neg.f32 u1) (pow.f32 (cbrt.f32 (+.f32 -1 u1)) 2)) (cbrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 -1 (+.f32 -1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 1 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (+.f32 -1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 -1 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 -1 (+.f32 -1 u1))) (sqrt.f32 (/.f32 -1 (+.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 -1 (+.f32 -1 u1))) (pow.f32 (cbrt.f32 (/.f32 -1 (+.f32 -1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 -1 (+.f32 -1 u1))) 2) (cbrt.f32 (/.f32 -1 (+.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 -1 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (-.f32 1 (*.f32 u1 u1))) (-.f32 -1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (+.f32 -1 (pow.f32 u1 3))) (+.f32 1 (+.f32 (*.f32 u1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 -1 (+.f32 -1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 -1 (+.f32 -1 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 -1 (+.f32 -1 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 -1 (+.f32 -1 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (+.f32 -1 u1) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (neg.f32 (+.f32 -1 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 1 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 1 (pow.f32 (+.f32 -1 u1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 -1 (+.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 -1 (+.f32 -1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 -1 (+.f32 -1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 -1 (+.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 -1 (+.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 -1 (+.f32 -1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 -1 (+.f32 -1 u1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 1/4) (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 -1 (+.f32 -1 u1))) (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 -1 (+.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))))))) |
| 1× | egg-herbie |
| 962× | +-commutative |
| 676× | associate-*r/ |
| 626× | fma-def |
| 550× | distribute-lft-in |
| 508× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 2438 |
| 1 | 456 | 2138 |
| 2 | 1763 | 2064 |
| 3 | 7791 | 2064 |
| 1× | node limit |
| Inputs |
|---|
u1 |
(+.f32 (pow.f32 u1 2) u1) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1)) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1))) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
1 |
(+.f32 1 u1) |
(+.f32 (pow.f32 u1 2) (+.f32 1 u1)) |
(+.f32 (pow.f32 u1 2) (+.f32 1 (+.f32 u1 (pow.f32 u1 3)))) |
(/.f32 -1 u1) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
(/.f32 -1 u1) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) 1) |
(/.f32 -1 (/.f32 (+.f32 -1 u1) u1)) |
(/.f32 u1 (*.f32 (+.f32 -1 u1) -1)) |
(/.f32 u1 (neg.f32 (+.f32 -1 u1))) |
(/.f32 1 (/.f32 (+.f32 -1 u1) (neg.f32 u1))) |
(/.f32 (neg.f32 u1) (+.f32 -1 u1)) |
(/.f32 (/.f32 (neg.f32 u1) 1) (+.f32 -1 u1)) |
(/.f32 (/.f32 (neg.f32 u1) (sqrt.f32 (+.f32 -1 u1))) (sqrt.f32 (+.f32 -1 u1))) |
(/.f32 (/.f32 (neg.f32 u1) (pow.f32 (cbrt.f32 (+.f32 -1 u1)) 2)) (cbrt.f32 (+.f32 -1 u1))) |
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (+.f32 -1 u1))) |
(pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 1) |
(pow.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 2) |
(pow.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 3) |
(pow.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 2) 1/2) |
(pow.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 3) 1/3) |
(sqrt.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 2)) |
(log.f32 (exp.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) |
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 3)) |
(expm1.f32 (log1p.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) |
(exp.f32 (log.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) |
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 1)) |
(log1p.f32 (expm1.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) |
(-.f32 (exp.f32 (log1p.f32 (/.f32 -1 (+.f32 -1 u1)))) 1) |
(*.f32 -1 (/.f32 1 (+.f32 -1 u1))) |
(*.f32 (/.f32 -1 (+.f32 -1 u1)) 1) |
(*.f32 1 (/.f32 -1 (+.f32 -1 u1))) |
(*.f32 (sqrt.f32 (/.f32 -1 (+.f32 -1 u1))) (sqrt.f32 (/.f32 -1 (+.f32 -1 u1)))) |
(*.f32 (cbrt.f32 (/.f32 -1 (+.f32 -1 u1))) (pow.f32 (cbrt.f32 (/.f32 -1 (+.f32 -1 u1))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 -1 (+.f32 -1 u1))) 2) (cbrt.f32 (/.f32 -1 (+.f32 -1 u1)))) |
(*.f32 (/.f32 1 (+.f32 -1 u1)) -1) |
(*.f32 (/.f32 -1 (-.f32 1 (*.f32 u1 u1))) (-.f32 -1 u1)) |
(*.f32 (/.f32 -1 (+.f32 -1 (pow.f32 u1 3))) (+.f32 1 (+.f32 (*.f32 u1 u1) u1))) |
(pow.f32 (/.f32 -1 (+.f32 -1 u1)) 1) |
(pow.f32 (sqrt.f32 (/.f32 -1 (+.f32 -1 u1))) 2) |
(pow.f32 (cbrt.f32 (/.f32 -1 (+.f32 -1 u1))) 3) |
(pow.f32 (pow.f32 (/.f32 -1 (+.f32 -1 u1)) 3) 1/3) |
(pow.f32 (*.f32 (+.f32 -1 u1) -1) -1) |
(pow.f32 (neg.f32 (+.f32 -1 u1)) -1) |
(neg.f32 (/.f32 1 (+.f32 -1 u1))) |
(sqrt.f32 (/.f32 1 (pow.f32 (+.f32 -1 u1) 2))) |
(log.f32 (exp.f32 (/.f32 -1 (+.f32 -1 u1)))) |
(log.f32 (+.f32 1 (expm1.f32 (/.f32 -1 (+.f32 -1 u1))))) |
(cbrt.f32 (pow.f32 (/.f32 -1 (+.f32 -1 u1)) 3)) |
(expm1.f32 (log1p.f32 (/.f32 -1 (+.f32 -1 u1)))) |
(exp.f32 (log.f32 (/.f32 -1 (+.f32 -1 u1)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 -1 (+.f32 -1 u1))) 1)) |
(log1p.f32 (expm1.f32 (/.f32 -1 (+.f32 -1 u1)))) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))) 1) |
(*.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 1) |
(*.f32 1 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) |
(*.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 1/4) (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 1/4)) |
(*.f32 (sqrt.f32 (/.f32 -1 (+.f32 -1 u1))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 -1 (+.f32 -1 u1)))) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 1/2)) |
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1))) |
(pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 1/2) |
(pow.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 1) |
(pow.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 1/4) 2) |
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) 3) |
(pow.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 3/2) 1/3) |
(fabs.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) |
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))) |
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))) |
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 1/2)) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) 1)) |
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))) |
| Outputs |
|---|
u1 |
(+.f32 (pow.f32 u1 2) u1) |
(fma.f32 u1 u1 u1) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1)) |
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3))) |
(+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 u1)) |
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(*.f32 (cbrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))))) |
(*.f32 (fabs.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) |
(sqrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 1/2)) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))))) |
(*.f32 (fabs.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1))) |
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 -1))) |
(pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 1/2) |
(sqrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 1) |
(sqrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 1/4) 2) |
(sqrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) 3) |
(sqrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 3/2) 1/3) |
(cbrt.f32 (pow.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1))) 3/2)) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(fabs.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) |
(sqrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))) |
(sqrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))))) |
(sqrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))) 3/2)) |
(cbrt.f32 (pow.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1))) 3/2)) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))) |
(sqrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))) |
(sqrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))) 1/2)) |
(sqrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1))))) 1)) |
(sqrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 -1 u1)))))) |
(sqrt.f32 (/.f32 u1 (+.f32 1 (neg.f32 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (sqrt.f32 (fma.f32 u1 u1 u1)) |
Compiled 21 to 8 computations (61.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | u1 | @ | 0 | (sqrt.f32 (fma.f32 u1 u1 u1)) |
| 0.0ms | u1 | @ | -inf | (sqrt.f32 (fma.f32 u1 u1 u1)) |
| 0.0ms | u1 | @ | inf | (sqrt.f32 (fma.f32 u1 u1 u1)) |
| 1× | batch-egg-rewrite |
| 1086× | add-sqr-sqrt |
| 1072× | *-un-lft-identity |
| 1012× | pow1 |
| 992× | add-cube-cbrt |
| 982× | add-cbrt-cube |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 117 | 11 |
| 2 | 1363 | 11 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f32 (fma.f32 u1 u1 u1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (hypot.f32 u1 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/4) (pow.f32 (fma.f32 u1 u1 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) (cbrt.f32 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (hypot.f32 u1 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 u1 u1 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (hypot.f32 u1 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 u1 (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (hypot.f32 u1 (sqrt.f32 u1)))))))) |
| 1× | egg-herbie |
| 974× | unswap-sqr |
| 884× | *-commutative |
| 736× | associate-+l+ |
| 654× | associate-/r* |
| 632× | associate-+r+ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 677 |
| 1 | 159 | 571 |
| 2 | 392 | 471 |
| 3 | 1020 | 439 |
| 4 | 3190 | 439 |
| 1× | node limit |
| Inputs |
|---|
u1 |
(+.f32 1/2 u1) |
(-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1))) |
(-.f32 (+.f32 1/2 (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 u1 2))) u1)) (*.f32 1/8 (/.f32 1 u1))) |
(*.f32 -1 u1) |
(-.f32 (*.f32 -1 u1) 1/2) |
(-.f32 (+.f32 (*.f32 -1 u1) (*.f32 1/8 (/.f32 1 u1))) 1/2) |
(-.f32 (+.f32 (*.f32 -1 u1) (*.f32 1/8 (/.f32 1 u1))) (+.f32 1/2 (*.f32 1/16 (/.f32 1 (pow.f32 u1 2))))) |
(-.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) 1) |
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1) |
(*.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) |
(*.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/4) (pow.f32 (fma.f32 u1 u1 u1) 1/4)) |
(*.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) (cbrt.f32 (fma.f32 u1 u1 u1))) |
(*.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1)))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 u1 u1 u1)))) |
(*.f32 (pow.f32 1 1/2) (hypot.f32 u1 (sqrt.f32 u1))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 1/2)) |
(pow.f32 (fma.f32 u1 u1 u1) 1/2) |
(pow.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1) |
(pow.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/4) 2) |
(pow.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) 3) |
(pow.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2) 1/3) |
(fabs.f32 (hypot.f32 u1 (sqrt.f32 u1))) |
(log.f32 (exp.f32 (hypot.f32 u1 (sqrt.f32 u1)))) |
(cbrt.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2)) |
(expm1.f32 (log1p.f32 (hypot.f32 u1 (sqrt.f32 u1)))) |
(hypot.f32 u1 (sqrt.f32 u1)) |
(exp.f32 (log.f32 (hypot.f32 u1 (sqrt.f32 u1)))) |
(log1p.f32 (expm1.f32 (hypot.f32 u1 (sqrt.f32 u1)))) |
| Outputs |
|---|
u1 |
(+.f32 1/2 u1) |
(+.f32 u1 1/2) |
(-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1))) |
(-.f32 (+.f32 u1 1/2) (/.f32 1/8 u1)) |
(+.f32 u1 (+.f32 1/2 (/.f32 -1/8 u1))) |
(+.f32 1/2 (+.f32 u1 (/.f32 -1/8 u1))) |
(+.f32 (+.f32 u1 1/2) (/.f32 -1/8 u1)) |
(-.f32 (+.f32 1/2 (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 u1 2))) u1)) (*.f32 1/8 (/.f32 1 u1))) |
(-.f32 (+.f32 1/2 (+.f32 u1 (/.f32 1/16 (*.f32 u1 u1)))) (/.f32 1/8 u1)) |
(+.f32 (+.f32 u1 (/.f32 1/16 (*.f32 u1 u1))) (+.f32 1/2 (/.f32 -1/8 u1))) |
(+.f32 1/2 (+.f32 (/.f32 (/.f32 1/16 u1) u1) (+.f32 u1 (/.f32 -1/8 u1)))) |
(+.f32 u1 (+.f32 (/.f32 1/16 (*.f32 u1 u1)) (+.f32 1/2 (/.f32 -1/8 u1)))) |
(+.f32 u1 (+.f32 1/2 (+.f32 (/.f32 1/16 (*.f32 u1 u1)) (/.f32 -1/8 u1)))) |
(*.f32 -1 u1) |
(neg.f32 u1) |
(-.f32 (*.f32 -1 u1) 1/2) |
(fma.f32 -1 u1 -1/2) |
(fma.f32 u1 -1 -1/2) |
(-.f32 -1/2 u1) |
(-.f32 (+.f32 (*.f32 -1 u1) (*.f32 1/8 (/.f32 1 u1))) 1/2) |
(+.f32 (fma.f32 -1 u1 (/.f32 1/8 u1)) -1/2) |
(+.f32 (-.f32 (/.f32 1/8 u1) u1) -1/2) |
(+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) |
(-.f32 (+.f32 (*.f32 -1 u1) (*.f32 1/8 (/.f32 1 u1))) (+.f32 1/2 (*.f32 1/16 (/.f32 1 (pow.f32 u1 2))))) |
(-.f32 (fma.f32 -1 u1 (/.f32 1/8 u1)) (+.f32 1/2 (/.f32 1/16 (*.f32 u1 u1)))) |
(+.f32 (-.f32 (/.f32 1/8 u1) u1) (-.f32 -1/2 (/.f32 1/16 (*.f32 u1 u1)))) |
(+.f32 (/.f32 1/8 u1) (-.f32 (-.f32 -1/2 u1) (/.f32 (/.f32 1/16 u1) u1))) |
(+.f32 (/.f32 1/8 u1) (+.f32 (-.f32 -1/2 u1) (/.f32 -1/16 (*.f32 u1 u1)))) |
(-.f32 (/.f32 -1/16 (*.f32 u1 u1)) (+.f32 (+.f32 u1 1/2) (/.f32 -1/8 u1))) |
(-.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) 1) |
(+.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) -1) |
(+.f32 (hypot.f32 u1 (sqrt.f32 u1)) 0) |
(hypot.f32 u1 (sqrt.f32 u1)) |
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1) |
(+.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) -1) |
(+.f32 (hypot.f32 u1 (sqrt.f32 u1)) 0) |
(hypot.f32 u1 (sqrt.f32 u1)) |
(*.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) |
(+.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) -1) |
(+.f32 (hypot.f32 u1 (sqrt.f32 u1)) 0) |
(hypot.f32 u1 (sqrt.f32 u1)) |
(*.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/4) (pow.f32 (fma.f32 u1 u1 u1) 1/4)) |
(+.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) -1) |
(+.f32 (hypot.f32 u1 (sqrt.f32 u1)) 0) |
(hypot.f32 u1 (sqrt.f32 u1)) |
(*.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) (cbrt.f32 (fma.f32 u1 u1 u1))) |
(*.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1)))) |
(*.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) (cbrt.f32 (fma.f32 u1 u1 u1))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 u1 u1 u1)))) |
(*.f32 (fabs.f32 (cbrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (cbrt.f32 (fma.f32 u1 u1 u1)))) |
(*.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (cbrt.f32 (fma.f32 u1 u1 u1)))) |
(pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 3/2) |
(*.f32 (pow.f32 1 1/2) (hypot.f32 u1 (sqrt.f32 u1))) |
(+.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) -1) |
(+.f32 (hypot.f32 u1 (sqrt.f32 u1)) 0) |
(hypot.f32 u1 (sqrt.f32 u1)) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 1/2)) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 u1 u1 u1)))) |
(*.f32 (fabs.f32 (cbrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (cbrt.f32 (fma.f32 u1 u1 u1)))) |
(*.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (cbrt.f32 (fma.f32 u1 u1 u1)))) |
(pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 3/2) |
(pow.f32 (fma.f32 u1 u1 u1) 1/2) |
(+.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) -1) |
(+.f32 (hypot.f32 u1 (sqrt.f32 u1)) 0) |
(hypot.f32 u1 (sqrt.f32 u1)) |
(pow.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1) |
(+.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) -1) |
(+.f32 (hypot.f32 u1 (sqrt.f32 u1)) 0) |
(hypot.f32 u1 (sqrt.f32 u1)) |
(pow.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/4) 2) |
(+.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) -1) |
(+.f32 (hypot.f32 u1 (sqrt.f32 u1)) 0) |
(hypot.f32 u1 (sqrt.f32 u1)) |
(pow.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) 3) |
(+.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) -1) |
(+.f32 (hypot.f32 u1 (sqrt.f32 u1)) 0) |
(hypot.f32 u1 (sqrt.f32 u1)) |
(pow.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2) 1/3) |
(cbrt.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2)) |
(fabs.f32 (hypot.f32 u1 (sqrt.f32 u1))) |
(+.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) -1) |
(+.f32 (hypot.f32 u1 (sqrt.f32 u1)) 0) |
(hypot.f32 u1 (sqrt.f32 u1)) |
(log.f32 (exp.f32 (hypot.f32 u1 (sqrt.f32 u1)))) |
(+.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) -1) |
(+.f32 (hypot.f32 u1 (sqrt.f32 u1)) 0) |
(hypot.f32 u1 (sqrt.f32 u1)) |
(cbrt.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2)) |
(expm1.f32 (log1p.f32 (hypot.f32 u1 (sqrt.f32 u1)))) |
(+.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) -1) |
(+.f32 (hypot.f32 u1 (sqrt.f32 u1)) 0) |
(hypot.f32 u1 (sqrt.f32 u1)) |
(hypot.f32 u1 (sqrt.f32 u1)) |
(+.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) -1) |
(+.f32 (hypot.f32 u1 (sqrt.f32 u1)) 0) |
(exp.f32 (log.f32 (hypot.f32 u1 (sqrt.f32 u1)))) |
(+.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) -1) |
(+.f32 (hypot.f32 u1 (sqrt.f32 u1)) 0) |
(hypot.f32 u1 (sqrt.f32 u1)) |
(log1p.f32 (expm1.f32 (hypot.f32 u1 (sqrt.f32 u1)))) |
(+.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) -1) |
(+.f32 (hypot.f32 u1 (sqrt.f32 u1)) 0) |
(hypot.f32 u1 (sqrt.f32 u1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (sqrt.f32 (*.f32 (/.f32 1 (-.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))) |
| ✓ | 0.2b | (/.f32 1 (-.f32 u1 (*.f32 u1 u1))) |
| 0.3b | (*.f32 314159265359/50000000000 u2) | |
| ✓ | 0.4b | (*.f32 (/.f32 1 (-.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1)) |
Compiled 69 to 29 computations (58% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | u1 | @ | 0 | (sqrt.f32 (*.f32 (/.f32 1 (-.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))) |
| 0.0ms | u1 | @ | inf | (sqrt.f32 (*.f32 (/.f32 1 (-.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))) |
| 0.0ms | u1 | @ | -inf | (*.f32 (/.f32 1 (-.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1)) |
| 0.0ms | u1 | @ | 0 | (*.f32 (/.f32 1 (-.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1)) |
| 0.0ms | u1 | @ | -inf | (sqrt.f32 (*.f32 (/.f32 1 (-.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))) |
| 1× | batch-egg-rewrite |
| 1020× | associate-*r/ |
| 986× | *-commutative |
| 758× | associate-*l/ |
| 708× | associate-/r* |
| 574× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 73 |
| 1 | 214 | 67 |
| 2 | 2916 | 67 |
| 1× | node limit |
| Inputs |
|---|
(*.f32 (/.f32 1 (-.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1)) |
(/.f32 1 (-.f32 u1 (*.f32 u1 u1))) |
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) 2)) (sqrt.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (*.f32 u1 (-.f32 1 u1)))) (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 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egg-rr> (2) ((x /.f32 u1 (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) (cbrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cbrt.f32 u1) (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 u1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (cbrt.f32 (pow.f32 u1 4))) (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 u1 1) (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 u1 (cbrt.f32 (*.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (*.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 (*.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 1 1/2) u1) (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 -1) u1) (sqrt.f32 (neg.f32 (*.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (cbrt.f32 u1) 2) (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) (cbrt.f32 (*.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 u1 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (-.f32 1 u1))) 2))) (sqrt.f32 (cbrt.f32 (*.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 u1 (sqrt.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))))))) |
| 1× | egg-herbie |
| 934× | associate-/l* |
| 696× | +-commutative |
| 666× | associate-*l* |
| 642× | associate-*r* |
| 596× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 590 | 9454 |
| 1 | 1671 | 8786 |
| 2 | 7495 | 8786 |
| 1× | node limit |
| Inputs |
|---|
u1 |
(+.f32 (pow.f32 u1 2) u1) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1)) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1))) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
(/.f32 1 u1) |
(+.f32 1 (/.f32 1 u1)) |
(+.f32 1 (+.f32 u1 (/.f32 1 u1))) |
(+.f32 (pow.f32 u1 2) (+.f32 1 (+.f32 u1 (/.f32 1 u1)))) |
(/.f32 -1 (pow.f32 u1 2)) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3)))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3))))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3)))))) |
(/.f32 -1 (pow.f32 u1 2)) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3)))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3))))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3)))))) |
(sqrt.f32 -1) |
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(+.f32 (*.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)) u1)) u1) (*.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)) u1)) (*.f32 u1 u1))) |
(+.f32 (*.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)) u1)) (*.f32 u1 u1)) (*.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)) u1)) u1)) |
(+.f32 (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (*.f32 u1 u1)) (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (+.f32 (pow.f32 u1 4) (pow.f32 u1 3)))) |
(+.f32 (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (+.f32 (pow.f32 u1 4) (pow.f32 u1 3))) (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (*.f32 u1 u1))) |
(+.f32 (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (+.f32 (*.f32 u1 u1) (pow.f32 u1 4))) (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (pow.f32 u1 3))) |
(+.f32 (*.f32 u1 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)) u1))) (*.f32 (*.f32 u1 u1) (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)) u1)))) |
(+.f32 (*.f32 (*.f32 u1 u1) (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)) u1))) (*.f32 u1 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)) u1)))) |
(+.f32 (*.f32 (*.f32 u1 u1) (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6)))) (*.f32 (+.f32 (pow.f32 u1 4) (pow.f32 u1 3)) (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))))) |
(+.f32 (*.f32 (+.f32 (pow.f32 u1 4) (pow.f32 u1 3)) (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6)))) (*.f32 (*.f32 u1 u1) (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))))) |
(+.f32 (*.f32 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4)) (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6)))) (*.f32 (pow.f32 u1 3) (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))))) |
(-.f32 (exp.f32 (log1p.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1)))))) 1) |
(/.f32 1 (/.f32 (*.f32 u1 (-.f32 1 u1)) (*.f32 u1 u1))) |
(/.f32 u1 (/.f32 (-.f32 1 u1) (/.f32 u1 u1))) |
(/.f32 (*.f32 u1 u1) (*.f32 u1 (-.f32 1 u1))) |
(/.f32 (*.f32 u1 u1) (neg.f32 (neg.f32 (*.f32 u1 (-.f32 1 u1))))) |
(/.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1)))) 1) |
(/.f32 (sqrt.f32 u1) (/.f32 (*.f32 u1 (-.f32 1 u1)) (*.f32 u1 (sqrt.f32 u1)))) |
(/.f32 (sqrt.f32 u1) (/.f32 (/.f32 (-.f32 1 u1) (/.f32 u1 u1)) (sqrt.f32 u1))) |
(/.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (*.f32 u1 (-.f32 1 u1)) (cbrt.f32 (pow.f32 u1 4)))) |
(/.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (/.f32 (-.f32 1 u1) (/.f32 u1 u1)) (cbrt.f32 u1))) |
(/.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (*.f32 u1 (-.f32 1 u1)) (*.f32 u1 (cbrt.f32 u1)))) |
(/.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (/.f32 u1 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (-.f32 1 u1))) (pow.f32 (cbrt.f32 u1) 2))) |
(/.f32 (cbrt.f32 (pow.f32 u1 4)) (/.f32 u1 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (-.f32 1 u1)))) |
(/.f32 (cbrt.f32 (pow.f32 u1 4)) (/.f32 (neg.f32 (*.f32 u1 (-.f32 1 u1))) (neg.f32 (pow.f32 (cbrt.f32 u1) 2)))) |
(/.f32 (cbrt.f32 u1) (/.f32 (/.f32 (-.f32 1 u1) (/.f32 u1 u1)) (pow.f32 (cbrt.f32 u1) 2))) |
(/.f32 (neg.f32 u1) (/.f32 (neg.f32 (*.f32 u1 (-.f32 1 u1))) u1)) |
(/.f32 (*.f32 u1 (neg.f32 u1)) (neg.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 (+.f32 (pow.f32 u1 4) (pow.f32 u1 3)) (-.f32 (*.f32 u1 u1) (pow.f32 u1 4))) |
(/.f32 -1 (/.f32 (neg.f32 (*.f32 u1 (-.f32 1 u1))) (*.f32 u1 u1))) |
(/.f32 (sqrt.f32 (*.f32 u1 (neg.f32 u1))) (/.f32 (neg.f32 (*.f32 u1 (-.f32 1 u1))) (sqrt.f32 (*.f32 u1 (neg.f32 u1))))) |
(/.f32 (sqrt.f32 (cbrt.f32 (pow.f32 u1 4))) (/.f32 (/.f32 (-.f32 1 u1) (/.f32 u1 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2)))) |
(/.f32 (sqrt.f32 (cbrt.f32 (pow.f32 u1 4))) (/.f32 (/.f32 u1 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (-.f32 1 u1))) (sqrt.f32 (cbrt.f32 (pow.f32 u1 4))))) |
(/.f32 (*.f32 (cbrt.f32 (*.f32 u1 (neg.f32 u1))) (cbrt.f32 (*.f32 u1 (neg.f32 u1)))) (/.f32 (neg.f32 (*.f32 u1 (-.f32 1 u1))) (cbrt.f32 (*.f32 u1 (neg.f32 u1))))) |
(/.f32 (*.f32 (cbrt.f32 (cbrt.f32 (pow.f32 u1 4))) (cbrt.f32 (cbrt.f32 (pow.f32 u1 4)))) (/.f32 (/.f32 u1 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (-.f32 1 u1))) (cbrt.f32 (cbrt.f32 (pow.f32 u1 4))))) |
(/.f32 (*.f32 u1 (sqrt.f32 u1)) (/.f32 (*.f32 u1 (-.f32 1 u1)) (sqrt.f32 u1))) |
(/.f32 (*.f32 (sqrt.f32 u1) (neg.f32 u1)) (/.f32 (neg.f32 (*.f32 u1 (-.f32 1 u1))) (sqrt.f32 u1))) |
(/.f32 (*.f32 (pow.f32 (cbrt.f32 u1) 2) (neg.f32 u1)) (/.f32 (neg.f32 (*.f32 u1 (-.f32 1 u1))) (cbrt.f32 u1))) |
(/.f32 (*.f32 (*.f32 u1 u1) (cbrt.f32 (pow.f32 (*.f32 u1 (-.f32 1 u1)) -2))) (cbrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 (*.f32 u1 (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (*.f32 u1 (-.f32 1 u1)) (cbrt.f32 u1))) |
(/.f32 (/.f32 u1 (/.f32 1 u1)) (*.f32 u1 (-.f32 1 u1))) |
(/.f32 (/.f32 u1 (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) u1)) (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 (/.f32 u1 (/.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (-.f32 1 u1))) 2) u1)) (cbrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)) u1)) (/.f32 (/.f32 1 u1) (+.f32 1 u1))) |
(/.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (/.f32 1 (fma.f32 u1 u1 (+.f32 (pow.f32 u1 4) (pow.f32 u1 3))))) |
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(exp.f32 (neg.f32 (log.f32 (*.f32 u1 (-.f32 1 u1))))) |
(log1p.f32 (expm1.f32 (/.f32 1 (*.f32 u1 (-.f32 1 u1))))) |
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) 1) |
(*.f32 1 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) |
(*.f32 u1 (pow.f32 (*.f32 u1 (-.f32 1 u1)) -1/2)) |
(*.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) 1) |
(*.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) (pow.f32 1 1/2)) |
(*.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) |
(*.f32 (pow.f32 (*.f32 u1 (-.f32 1 u1)) -1/2) u1) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) |
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))) 1/2)) |
(*.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1)))))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) 2)) (sqrt.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))))) |
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 u1 (-.f32 1 u1)))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) 2))) |
(*.f32 (pow.f32 1 1/2) (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) 2) 1/2) (pow.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) 1/2)) |
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) 2) 1/2)) |
(*.f32 (pow.f32 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))) 1/2) (sqrt.f32 u1)) |
(*.f32 (/.f32 u1 (sqrt.f32 (-.f32 (pow.f32 u1 3) (pow.f32 u1 6)))) (sqrt.f32 (fma.f32 u1 u1 (+.f32 (pow.f32 u1 4) (pow.f32 u1 3))))) |
(*.f32 (/.f32 u1 (sqrt.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)))) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))) |
(/.f32 1 (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) u1)) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) 1)) |
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) (sqrt.f32 u1))) |
(/.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) (cbrt.f32 u1))) |
(/.f32 (cbrt.f32 u1) (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 u1) 2))) |
(/.f32 (sqrt.f32 (cbrt.f32 (pow.f32 u1 4))) (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2)))) |
(/.f32 (/.f32 u1 1) (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 (/.f32 u1 (cbrt.f32 (*.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) |
(/.f32 (*.f32 u1 (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (*.f32 u1 (-.f32 1 u1))))) |
(/.f32 (*.f32 (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 (*.f32 (pow.f32 1 1/2) u1) (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 (*.f32 (sqrt.f32 -1) u1) (sqrt.f32 (neg.f32 (*.f32 u1 (-.f32 1 u1))))) |
(/.f32 (*.f32 (pow.f32 (cbrt.f32 u1) 2) (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) (cbrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 (/.f32 u1 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (-.f32 1 u1))) 2))) (sqrt.f32 (cbrt.f32 (*.f32 u1 (-.f32 1 u1))))) |
(/.f32 (/.f32 u1 (sqrt.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) |
(pow.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1)))) 1/2) |
(pow.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) 1) |
(pow.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) 2) |
(pow.f32 (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) 3) |
(pow.f32 (pow.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) 3) 1/3) |
(fabs.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) |
(log.f32 (exp.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) |
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) 3)) |
(expm1.f32 (log1p.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) |
(exp.f32 (log.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) |
(log1p.f32 (expm1.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) |
| Outputs |
|---|
u1 |
(+.f32 (pow.f32 u1 2) u1) |
(+.f32 u1 (*.f32 u1 u1)) |
(fma.f32 u1 u1 u1) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1)) |
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (*.f32 u1 u1)) |
(+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 u1)) |
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1))) |
(+.f32 (fma.f32 u1 u1 (pow.f32 u1 4)) (+.f32 u1 (pow.f32 u1 3))) |
(+.f32 (+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 u1)) (pow.f32 u1 4)) |
(+.f32 u1 (+.f32 (pow.f32 u1 4) (*.f32 u1 (fma.f32 u1 u1 u1)))) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(+.f32 -1 (neg.f32 (/.f32 1 u1))) |
(+.f32 -1 (/.f32 -1 u1)) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))) |
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))) |
(+.f32 -1 (+.f32 (-.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 1 (*.f32 u1 u1))) (/.f32 -1 u1))) |
-1 |
(neg.f32 (+.f32 1 (/.f32 1 u1))) |
(+.f32 -1 (neg.f32 (/.f32 1 u1))) |
(+.f32 -1 (/.f32 -1 u1)) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))) |
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1)))) |
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))) |
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))) |
(+.f32 -1 (+.f32 (-.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 1 (*.f32 u1 u1))) (/.f32 -1 u1))) |
(/.f32 1 u1) |
(+.f32 1 (/.f32 1 u1)) |
(+.f32 1 (+.f32 u1 (/.f32 1 u1))) |
(+.f32 (+.f32 u1 1) (/.f32 1 u1)) |
(+.f32 (/.f32 1 u1) (+.f32 u1 1)) |
(+.f32 (pow.f32 u1 2) (+.f32 1 (+.f32 u1 (/.f32 1 u1)))) |
(+.f32 (+.f32 (+.f32 u1 1) (/.f32 1 u1)) (*.f32 u1 u1)) |
(+.f32 (+.f32 (fma.f32 u1 u1 1) u1) (/.f32 1 u1)) |
(+.f32 u1 (+.f32 (/.f32 1 u1) (fma.f32 u1 u1 1))) |
(/.f32 -1 (pow.f32 u1 2)) |
(/.f32 -1 (*.f32 u1 u1)) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3)))) |
(neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))) |
(-.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 1 (*.f32 u1 u1))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3))))) |
(neg.f32 (+.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (/.f32 1 (*.f32 u1 u1))) (/.f32 1 (pow.f32 u1 3)))) |
(+.f32 (-.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 1 (*.f32 u1 u1))) (/.f32 -1 (pow.f32 u1 4))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3)))))) |
(neg.f32 (+.f32 (+.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (/.f32 1 (*.f32 u1 u1))) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 (pow.f32 u1 5)))) |
(+.f32 (+.f32 (-.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 1 (*.f32 u1 u1))) (/.f32 -1 (pow.f32 u1 4))) (/.f32 -1 (pow.f32 u1 5))) |
(/.f32 -1 (pow.f32 u1 2)) |
(/.f32 -1 (*.f32 u1 u1)) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3)))) |
(neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))) |
(-.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 1 (*.f32 u1 u1))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3))))) |
(neg.f32 (+.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (/.f32 1 (*.f32 u1 u1))) (/.f32 1 (pow.f32 u1 3)))) |
(+.f32 (-.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 1 (*.f32 u1 u1))) (/.f32 -1 (pow.f32 u1 4))) |
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3)))))) |
(neg.f32 (+.f32 (+.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (/.f32 1 (*.f32 u1 u1))) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 (pow.f32 u1 5)))) |
(+.f32 (+.f32 (-.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 1 (*.f32 u1 u1))) (/.f32 -1 (pow.f32 u1 4))) (/.f32 -1 (pow.f32 u1 5))) |
(sqrt.f32 -1) |
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1)))) |
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1)))) |
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 (*.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (*.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1)))) |
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (*.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 (*.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1))) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) |
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(+.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (/.f32 5/16 (/.f32 (pow.f32 u1 3) (sqrt.f32 -1)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (sqrt.f32 -1))) |
(+.f32 (*.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)) u1)) u1) (*.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)) u1)) (*.f32 u1 u1))) |
(*.f32 (/.f32 u1 (-.f32 u1 (/.f32 (pow.f32 u1 4) u1))) (+.f32 u1 (*.f32 u1 u1))) |
(*.f32 (/.f32 u1 (-.f32 u1 (pow.f32 u1 3))) (fma.f32 u1 u1 u1)) |
(+.f32 (*.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)) u1)) (*.f32 u1 u1)) (*.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)) u1)) u1)) |
(*.f32 (/.f32 u1 (-.f32 u1 (/.f32 (pow.f32 u1 4) u1))) (+.f32 u1 (*.f32 u1 u1))) |
(*.f32 (/.f32 u1 (-.f32 u1 (pow.f32 u1 3))) (fma.f32 u1 u1 u1)) |
(+.f32 (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (*.f32 u1 u1)) (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (+.f32 (pow.f32 u1 4) (pow.f32 u1 3)))) |
(*.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (fma.f32 u1 u1 (+.f32 (pow.f32 u1 3) (pow.f32 u1 4)))) |
(/.f32 (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 6) (*.f32 u1 (pow.f32 u1 4)))) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) |
(/.f32 (+.f32 (+.f32 (pow.f32 u1 4) (pow.f32 u1 6)) (*.f32 u1 (pow.f32 u1 4))) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) |
(+.f32 (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (+.f32 (pow.f32 u1 4) (pow.f32 u1 3))) (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (*.f32 u1 u1))) |
(*.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (fma.f32 u1 u1 (+.f32 (pow.f32 u1 3) (pow.f32 u1 4)))) |
(/.f32 (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 6) (*.f32 u1 (pow.f32 u1 4)))) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) |
(/.f32 (+.f32 (+.f32 (pow.f32 u1 4) (pow.f32 u1 6)) (*.f32 u1 (pow.f32 u1 4))) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) |
(+.f32 (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (+.f32 (*.f32 u1 u1) (pow.f32 u1 4))) (*.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (pow.f32 u1 3))) |
(*.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (fma.f32 u1 u1 (+.f32 (pow.f32 u1 3) (pow.f32 u1 4)))) |
(/.f32 (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 6) (*.f32 u1 (pow.f32 u1 4)))) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) |
(/.f32 (+.f32 (+.f32 (pow.f32 u1 4) (pow.f32 u1 6)) (*.f32 u1 (pow.f32 u1 4))) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) |
(+.f32 (*.f32 u1 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)) u1))) (*.f32 (*.f32 u1 u1) (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)) u1)))) |
(*.f32 (/.f32 u1 (-.f32 u1 (/.f32 (pow.f32 u1 4) u1))) (+.f32 u1 (*.f32 u1 u1))) |
(*.f32 (/.f32 u1 (-.f32 u1 (pow.f32 u1 3))) (fma.f32 u1 u1 u1)) |
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(/.f32 1 (*.f32 u1 (-.f32 1 u1))) |
(/.f32 1 (-.f32 u1 (*.f32 u1 u1))) |
(cbrt.f32 (/.f32 1 (pow.f32 (*.f32 u1 (-.f32 1 u1)) 3))) |
(cbrt.f32 (/.f32 1 (pow.f32 (-.f32 u1 (*.f32 u1 u1)) 3))) |
(expm1.f32 (log1p.f32 (/.f32 1 (*.f32 u1 (-.f32 1 u1))))) |
(/.f32 1 (*.f32 u1 (-.f32 1 u1))) |
(/.f32 1 (-.f32 u1 (*.f32 u1 u1))) |
(exp.f32 (neg.f32 (log.f32 (*.f32 u1 (-.f32 1 u1))))) |
(/.f32 1 (*.f32 u1 (-.f32 1 u1))) |
(/.f32 1 (-.f32 u1 (*.f32 u1 u1))) |
(log1p.f32 (expm1.f32 (/.f32 1 (*.f32 u1 (-.f32 1 u1))))) |
(/.f32 1 (*.f32 u1 (-.f32 1 u1))) |
(/.f32 1 (-.f32 u1 (*.f32 u1 u1))) |
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) 1) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(*.f32 1 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(*.f32 u1 (pow.f32 (*.f32 u1 (-.f32 1 u1)) -1/2)) |
(*.f32 u1 (pow.f32 (-.f32 u1 (*.f32 u1 u1)) -1/2)) |
(*.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) 1) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(*.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) (pow.f32 1 1/2)) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(*.f32 (pow.f32 (*.f32 u1 (-.f32 1 u1)) -1/2) u1) |
(*.f32 u1 (pow.f32 (*.f32 u1 (-.f32 1 u1)) -1/2)) |
(*.f32 u1 (pow.f32 (-.f32 u1 (*.f32 u1 u1)) -1/2)) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))) 1/2)) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) |
(*.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1)))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) 2)) (sqrt.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (fabs.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (sqrt.f32 (/.f32 u1 (*.f32 u1 (-.f32 1 u1)))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) 2))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (fabs.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (pow.f32 1 1/2) (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) 2) 1/2) (pow.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) 1/2)) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (fabs.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))))) 2) 1/2)) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (fabs.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (pow.f32 (/.f32 u1 (*.f32 u1 (-.f32 1 u1))) 1/2) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) |
(*.f32 (/.f32 u1 (sqrt.f32 (-.f32 (pow.f32 u1 3) (pow.f32 u1 6)))) (sqrt.f32 (fma.f32 u1 u1 (+.f32 (pow.f32 u1 4) (pow.f32 u1 3))))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 (+.f32 (pow.f32 u1 3) (pow.f32 u1 4)))) (/.f32 u1 (sqrt.f32 (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))))) |
(/.f32 u1 (/.f32 (sqrt.f32 (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (sqrt.f32 (+.f32 (pow.f32 u1 4) (*.f32 u1 (fma.f32 u1 u1 u1)))))) |
(*.f32 (/.f32 u1 (sqrt.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)))) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))) |
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4))))) |
(/.f32 (*.f32 u1 (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)))) |
(/.f32 1 (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) u1)) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(/.f32 u1 (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) 1)) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) (sqrt.f32 u1))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 u1 (*.f32 u1 u1))))) |
(/.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) (cbrt.f32 u1))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) (cbrt.f32 u1)) |
(/.f32 (*.f32 (pow.f32 (cbrt.f32 u1) 2) (cbrt.f32 u1)) (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(/.f32 (cbrt.f32 u1) (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 u1) 2))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) (cbrt.f32 u1)) |
(/.f32 (*.f32 (pow.f32 (cbrt.f32 u1) 2) (cbrt.f32 u1)) (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(/.f32 (sqrt.f32 (cbrt.f32 (pow.f32 u1 4))) (/.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2)))) |
(/.f32 (sqrt.f32 (cbrt.f32 (pow.f32 u1 4))) (/.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1))) (fabs.f32 (cbrt.f32 u1)))) |
(/.f32 (/.f32 u1 1) (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(/.f32 (/.f32 u1 (cbrt.f32 (*.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) |
(/.f32 u1 (*.f32 (cbrt.f32 (-.f32 u1 (*.f32 u1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))))) |
(/.f32 (*.f32 u1 (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (*.f32 u1 (-.f32 1 u1))))) |
(/.f32 (*.f32 u1 (sqrt.f32 -1)) (sqrt.f32 (*.f32 (neg.f32 u1) (-.f32 1 u1)))) |
(*.f32 (/.f32 (sqrt.f32 -1) (sqrt.f32 (*.f32 u1 (neg.f32 (-.f32 1 u1))))) u1) |
(/.f32 (*.f32 (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (cbrt.f32 (*.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (cbrt.f32 (-.f32 u1 (*.f32 u1 u1)))) (cbrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))))) |
(/.f32 (*.f32 (pow.f32 1 1/2) u1) (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(/.f32 (*.f32 (sqrt.f32 -1) u1) (sqrt.f32 (neg.f32 (*.f32 u1 (-.f32 1 u1))))) |
(/.f32 (*.f32 u1 (sqrt.f32 -1)) (sqrt.f32 (*.f32 (neg.f32 u1) (-.f32 1 u1)))) |
(*.f32 (/.f32 (sqrt.f32 -1) (sqrt.f32 (*.f32 u1 (neg.f32 (-.f32 1 u1))))) u1) |
(/.f32 (*.f32 (pow.f32 (cbrt.f32 u1) 2) (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) (cbrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (cbrt.f32 (*.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (cbrt.f32 (-.f32 u1 (*.f32 u1 u1)))) (cbrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))))) |
(/.f32 (/.f32 u1 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (-.f32 1 u1))) 2))) (sqrt.f32 (cbrt.f32 (*.f32 u1 (-.f32 1 u1))))) |
(/.f32 u1 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (-.f32 1 u1))) 2)))) |
(/.f32 u1 (*.f32 (fabs.f32 (cbrt.f32 (-.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (cbrt.f32 (-.f32 u1 (*.f32 u1 u1)))))) |
(/.f32 (/.f32 u1 (sqrt.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(pow.f32 (*.f32 u1 (/.f32 u1 (*.f32 u1 (-.f32 1 u1)))) 1/2) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) 1) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(pow.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) 2) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(pow.f32 (cbrt.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) 3) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(pow.f32 (pow.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) 3) 1/3) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(fabs.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(log.f32 (exp.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1))))))) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) 3)) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(expm1.f32 (log1p.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(exp.f32 (log.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
(log1p.f32 (expm1.f32 (/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))))) |
(/.f32 u1 (sqrt.f32 (*.f32 u1 (-.f32 1 u1)))) |
(/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) | |
| 0.2b | (/.f32 u1 (-.f32 1 u1)) | |
| 0.3b | (*.f32 314159265359/50000000000 u2) | |
| ✓ | 6.1b | (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
Compiled 56 to 40 computations (28.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | u1 | @ | 0 | (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
| 0.0ms | u1 | @ | inf | (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
| 0.0ms | u1 | @ | -inf | (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
| 1× | batch-egg-rewrite |
| 1888× | add-sqr-sqrt |
| 1870× | *-un-lft-identity |
| 1744× | add-cube-cbrt |
| 1726× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 196 | 17 |
| 2 | 2351 | 17 |
| 1× | node limit |
| Inputs |
|---|
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2)) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) |
| 1× | egg-herbie |
| 1608× | times-frac |
| 1204× | associate-/l* |
| 1190× | fma-def |
| 974× | unswap-sqr |
| 606× | associate-*r/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1269 |
| 1 | 281 | 1189 |
| 2 | 737 | 1155 |
| 3 | 2341 | 1053 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f32 -1) |
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(+.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) |
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) |
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2)) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2)) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) |
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) |
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1)))) |
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) |
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) |
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) |
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
| Outputs |
|---|
(sqrt.f32 -1) |
(-.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))) |
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))) |
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))) |
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))) |
(+.f32 (sqrt.f32 -1) (*.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (+.f32 (*.f32 -1/2 (/.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (*.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))) |
(-.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))) |
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))) |
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1)) (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)))) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))) |
(+.f32 (+.f32 (sqrt.f32 -1) (*.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))) (/.f32 -5/16 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))) |
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) |
(*.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1)) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))) |
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) |
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)))) |
(fma.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)) (sqrt.f32 -1)) |
(+.f32 (*.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))) |
(+.f32 (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) (*.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) |
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)))) |
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 5/16 (*.f32 u1 u1)) (+.f32 1/2 (/.f32 3/8 u1))))) |
(+.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) |
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) |
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) |
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) |
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (sqrt.f32 u1)) |
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2)) |
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (sqrt.f32 u1)) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2)) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) |
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) |
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) |
(/.f32 1 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) |
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))) |
(/.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1)))) |
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1))) |
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) |
(/.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1))) |
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) |
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
Compiled 21395 to 15415 computations (28% saved)
40 alts after pruning (31 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1038 | 17 | 1055 |
| Fresh | 11 | 14 | 25 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 8 | 11 |
| Total | 1052 | 40 | 1092 |
| Status | Error | Program |
|---|---|---|
| 2.9b | (*.f32 (fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 1.5b | (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2))) | |
| 8.7b | (*.f32 (pow.f32 (/.f32 1 u1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| ✓ | 0.3b | (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| 0.3b | (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))) | |
| 5.1b | (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1) | |
| 8.3b | (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1) | |
| 7.8b | (*.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 u1 -1/2))) 1) | |
| 0.5b | (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2))) | |
| ✓ | 5.2b | (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) 1) |
| 0.4b | (*.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 5.2b | (*.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1) | |
| 12.2b | (*.f32 (-.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) 1) 1) | |
| 6.3b | (*.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 30.8b | (*.f32 (-.f32 -1/2 u1) 1) | |
| 27.3b | (*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) 1) | |
| 25.4b | (*.f32 (+.f32 u1 1/2) 1) | |
| 5.3b | (*.f32 (*.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1)) 1) | |
| 0.3b | (*.f32 (sqrt.f32 (/.f32 (/.f32 (/.f32 u1 (/.f32 1 u1)) (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| ✓ | 0.9b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
| ✓ | 0.4b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2))) |
| ✓ | 0.3b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| ✓ | 5.1b | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
| 0.3b | (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 5.1b | (*.f32 (sqrt.f32 (/.f32 -1 (/.f32 (+.f32 -1 u1) u1))) 1) | |
| 14.0b | (*.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2))) | |
| 4.6b | (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 0.3b | (*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| ✓ | 5.2b | (*.f32 (sqrt.f32 (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1)) 1) |
| 3.0b | (*.f32 (sqrt.f32 (*.f32 (+.f32 (/.f32 1 u1) (+.f32 u1 1)) (*.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 7.2b | (*.f32 (sqrt.f32 (*.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 1)) u1)) 1) | |
| 8.3b | (*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) 1) | |
| 14.0b | (*.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 1.7b | (*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) | |
| 8.7b | (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| ✓ | 11.1b | (*.f32 (sqrt.f32 u1) 1) |
| 30.7b | (*.f32 (neg.f32 u1) 1) | |
| ✓ | 6.2b | (*.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| 1.1b | (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) | |
| 25.7b | (*.f32 u1 1) |
Compiled 561 to 459 computations (18.2% saved)
| Inputs |
|---|
(*.f32 u1 1) |
(*.f32 (neg.f32 u1) 1) |
(*.f32 (+.f32 u1 1/2) 1) |
(*.f32 (-.f32 -1/2 u1) 1) |
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) 1) |
(*.f32 (sqrt.f32 u1) 1) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) 1) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1)) 1) |
(*.f32 (sqrt.f32 (/.f32 -1 (/.f32 (+.f32 -1 u1) u1))) 1) |
(*.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1) |
(*.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1) |
(*.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 u1 -1/2))) 1) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 1)) u1)) 1) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) 1) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 1))) 1) |
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) 1) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) 1) |
(*.f32 (*.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1)) 1) |
(*.f32 (-.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) 1) 1) |
(*.f32 (pow.f32 (/.f32 1 u1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (-.f32 (+.f32 1 (*.f32 u2 314159265359/50000000000)) 1))) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 (/.f32 1 u1) (+.f32 u1 1)) (*.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 u1 (*.f32 u1 u1))) (*.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 1 (*.f32 u1 u1)) (-.f32 u1 (*.f32 u1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 (+.f32 u1 1) u1) (-.f32 1 (*.f32 u1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 (/.f32 (/.f32 u1 (/.f32 1 u1)) (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 (/.f32 (*.f32 (+.f32 u1 1) (neg.f32 u1)) -1) (-.f32 1 (*.f32 u1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2))) |
(*.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))) |
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (+.f32 (+.f32 u1 (pow.f32 u1 3)) (*.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2))) |
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))) |
(*.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))) |
(*.f32 (/.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (/.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 1 (*.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (/.f32 1 (+.f32 u1 1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)) |
(*.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))) |
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2))) |
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))) |
(*.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2))) |
(*.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))) |
(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) |
(*.f32 (fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) (-.f32 1 (*.f32 (/.f32 u1 (fma.f32 u1 u1 -1)) (neg.f32 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
8 calls:
| 56.0ms | u1 |
| 51.0ms | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
| 43.0ms | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| 34.0ms | u2 |
| 33.0ms | (/.f32 u1 (-.f32 1 u1)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | cosTheta_i |
| 0.3b | 1 | u1 |
| 0.3b | 1 | u2 |
| 0.3b | 1 | (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| 0.3b | 1 | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
| 0.3b | 1 | (/.f32 u1 (-.f32 1 u1)) |
| 0.3b | 1 | (cos.f32 (*.f32 314159265359/50000000000 u2)) |
| 0.3b | 1 | (*.f32 314159265359/50000000000 u2) |
Compiled 1041 to 749 computations (28% saved)
| Inputs |
|---|
(*.f32 u1 1) |
(*.f32 (neg.f32 u1) 1) |
(*.f32 (+.f32 u1 1/2) 1) |
(*.f32 (-.f32 -1/2 u1) 1) |
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) 1) |
(*.f32 (sqrt.f32 u1) 1) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) 1) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1)) 1) |
(*.f32 (sqrt.f32 (/.f32 -1 (/.f32 (+.f32 -1 u1) u1))) 1) |
(*.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1) |
(*.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1) |
(*.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 u1 -1/2))) 1) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 1)) u1)) 1) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) 1) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 1))) 1) |
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) 1) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) 1) |
(*.f32 (*.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1)) 1) |
(*.f32 (-.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) 1) 1) |
(*.f32 (pow.f32 (/.f32 1 u1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
7 calls:
| 68.0ms | u2 |
| 25.0ms | (*.f32 314159265359/50000000000 u2) |
| 24.0ms | u1 |
| 24.0ms | (/.f32 u1 (-.f32 1 u1)) |
| 24.0ms | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
| Error | Segments | Branch |
|---|---|---|
| 4.6b | 1 | cosTheta_i |
| 2.1b | 2 | u1 |
| 1.6b | 2 | u2 |
| 2.1b | 2 | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
| 2.1b | 2 | (/.f32 u1 (-.f32 1 u1)) |
| 1.6b | 2 | (cos.f32 (*.f32 314159265359/50000000000 u2)) |
| 1.6b | 2 | (*.f32 314159265359/50000000000 u2) |
Compiled 268 to 193 computations (28% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0013293017400428653 | 0.0015690104337409139 |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
(*.f32 u1 1) |
(*.f32 (neg.f32 u1) 1) |
(*.f32 (+.f32 u1 1/2) 1) |
(*.f32 (-.f32 -1/2 u1) 1) |
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) 1) |
(*.f32 (sqrt.f32 u1) 1) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) 1) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1)) 1) |
(*.f32 (sqrt.f32 (/.f32 -1 (/.f32 (+.f32 -1 u1) u1))) 1) |
(*.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1) |
(*.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1) |
(*.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 u1 -1/2))) 1) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 1)) u1)) 1) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) 1) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 1))) 1) |
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1) |
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) 1) |
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) 1) |
(*.f32 (*.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1)) 1) |
(*.f32 (-.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) 1) 1) |
(*.f32 (pow.f32 (/.f32 1 u1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
| Outputs |
|---|
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
7 calls:
| 46.0ms | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
| 24.0ms | (*.f32 314159265359/50000000000 u2) |
| 23.0ms | (/.f32 u1 (-.f32 1 u1)) |
| 23.0ms | u1 |
| 22.0ms | u2 |
| Error | Segments | Branch |
|---|---|---|
| 5.1b | 1 | cosTheta_i |
| 3.7b | 2 | u1 |
| 2.9b | 2 | u2 |
| 3.7b | 2 | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
| 3.7b | 2 | (/.f32 u1 (-.f32 1 u1)) |
| 2.9b | 2 | (cos.f32 (*.f32 314159265359/50000000000 u2)) |
| 2.9b | 2 | (*.f32 314159265359/50000000000 u2) |
Compiled 257 to 187 computations (27.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999880790710449 | 0.9999881982803345 |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
(*.f32 u1 1) |
(*.f32 (neg.f32 u1) 1) |
(*.f32 (+.f32 u1 1/2) 1) |
(*.f32 (-.f32 -1/2 u1) 1) |
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) 1) |
(*.f32 (sqrt.f32 u1) 1) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) 1) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 -1 (+.f32 -1 u1)) u1)) 1) |
(*.f32 (sqrt.f32 (/.f32 -1 (/.f32 (+.f32 -1 u1) u1))) 1) |
(*.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1) |
(*.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1) |
(*.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 u1 -1/2))) 1) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 1)) u1)) 1) |
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) 1) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) u1) (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) 1))) 1) |
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
5 calls:
| 10.0ms | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
| 10.0ms | (/.f32 u1 (-.f32 1 u1)) |
| 9.0ms | u2 |
| 9.0ms | u1 |
| 9.0ms | cosTheta_i |
| Error | Segments | Branch |
|---|---|---|
| 5.1b | 1 | cosTheta_i |
| 5.1b | 1 | u1 |
| 5.1b | 1 | u2 |
| 5.1b | 1 | (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
| 5.1b | 1 | (/.f32 u1 (-.f32 1 u1)) |
Compiled 191 to 141 computations (26.2% saved)
| Inputs |
|---|
(*.f32 u1 1) |
(*.f32 (neg.f32 u1) 1) |
(*.f32 (+.f32 u1 1/2) 1) |
(*.f32 (-.f32 -1/2 u1) 1) |
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) 1) |
(*.f32 (sqrt.f32 u1) 1) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) 1) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) 1) |
3 calls:
| 13.0ms | u2 |
| 6.0ms | cosTheta_i |
| 5.0ms | u1 |
| Error | Segments | Branch |
|---|---|---|
| 8.3b | 1 | cosTheta_i |
| 8.3b | 1 | u1 |
| 8.3b | 1 | u2 |
Compiled 53 to 41 computations (22.6% saved)
| Inputs |
|---|
(*.f32 u1 1) |
(*.f32 (neg.f32 u1) 1) |
(*.f32 (+.f32 u1 1/2) 1) |
(*.f32 (-.f32 -1/2 u1) 1) |
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) 1) |
(*.f32 (sqrt.f32 u1) 1) |
| Outputs |
|---|
(*.f32 (sqrt.f32 u1) 1) |
3 calls:
| 5.0ms | u1 |
| 4.0ms | u2 |
| 4.0ms | cosTheta_i |
| Error | Segments | Branch |
|---|---|---|
| 11.1b | 1 | cosTheta_i |
| 11.1b | 1 | u1 |
| 11.1b | 1 | u2 |
Compiled 45 to 35 computations (22.2% saved)
| Inputs |
|---|
(*.f32 u1 1) |
(*.f32 (neg.f32 u1) 1) |
(*.f32 (+.f32 u1 1/2) 1) |
(*.f32 (-.f32 -1/2 u1) 1) |
(*.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) 1) |
| Outputs |
|---|
(*.f32 (+.f32 u1 1/2) 1) |
3 calls:
| 5.0ms | u2 |
| 4.0ms | u1 |
| 4.0ms | cosTheta_i |
| Error | Segments | Branch |
|---|---|---|
| 25.4b | 1 | cosTheta_i |
| 25.4b | 1 | u1 |
| 25.4b | 1 | u2 |
Compiled 41 to 32 computations (22% saved)
Total -5.2b remaining (-20.1%)
Threshold costs -5.2b (-20.1%)
| Inputs |
|---|
(*.f32 u1 1) |
(*.f32 (neg.f32 u1) 1) |
| Outputs |
|---|
(*.f32 u1 1) |
3 calls:
| 3.0ms | u2 |
| 3.0ms | u1 |
| 3.0ms | cosTheta_i |
| Error | Segments | Branch |
|---|---|---|
| 25.7b | 1 | cosTheta_i |
| 25.7b | 1 | u1 |
| 25.7b | 1 | u2 |
Compiled 22 to 17 computations (22.7% saved)
| 1× | egg-herbie |
| 20× | *-commutative |
| 10× | *-rgt-identity |
| 10× | +-commutative |
| 4× | distribute-lft-neg-in |
| 4× | distribute-rgt-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 202 |
| 1 | 57 | 202 |
| 2 | 65 | 202 |
| 3 | 66 | 202 |
| 4 | 67 | 202 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 6442451/4294967296) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(if (<=.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2097127/2097152) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) 1) |
(*.f32 (sqrt.f32 u1) 1) |
(*.f32 (+.f32 u1 1/2) 1) |
(*.f32 u1 1) |
| Outputs |
|---|
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) |
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 6442451/4294967296) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) |
(if (<=.f32 (*.f32 314159265359/50000000000 u2) 6442451/4294967296) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))) |
(if (<=.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2097127/2097152) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)) |
(if (<=.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2097127/2097152) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) |
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) |
(sqrt.f32 (/.f32 u1 (-.f32 1 u1))) |
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) 1) |
(sqrt.f32 (*.f32 u1 (+.f32 u1 1))) |
(*.f32 (sqrt.f32 u1) 1) |
(sqrt.f32 u1) |
(*.f32 (+.f32 u1 1/2) 1) |
(+.f32 u1 1/2) |
(*.f32 u1 1) |
u1 |
Compiled 96 to 74 computations (22.9% saved)
Compiled 75 to 52 computations (30.7% saved)
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