Time bar (total: 4.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 4 |
| 68.8% | 68.7% | 31.2% | 0.1% | 0% | 0% | 0% | 5 |
| 78.6% | 68.7% | 18.7% | 0.1% | 0% | 0% | 12.5% | 6 |
| 80% | 68.7% | 17.2% | 0.1% | 0% | 0% | 14% | 7 |
| 87.1% | 68.7% | 10.1% | 0.1% | 0% | 0% | 21.1% | 8 |
| 88.4% | 68.7% | 9% | 0.1% | 0% | 0% | 22.2% | 9 |
| 92.9% | 68.7% | 5.3% | 0.1% | 0% | 0% | 26% | 10 |
| 93.7% | 68.7% | 4.6% | 0.1% | 0% | 0% | 26.6% | 11 |
| 96.2% | 68.7% | 2.7% | 0.1% | 0% | 0% | 28.5% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 734.0ms | 8256× | body | 256 | valid |
| 16.0ms | 197× | body | 256 | unsamplable |
| 2× | egg-herbie |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 50 |
| 1 | 12 | 50 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 10 | 25 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 10 to 6 computations (40% 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 |
|---|---|---|
| ▶ | 1.2b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 10 to 6 computations (40% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.2b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 21 to 6 computations (71.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | b | @ | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | a | @ | inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | a | @ | -inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 0.0ms | b | @ | -inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1× | batch-egg-rewrite |
| 926× | associate-*r/ |
| 900× | *-commutative |
| 794× | associate-/r* |
| 654× | associate-*l/ |
| 614× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 187 | 25 |
| 2 | 2530 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
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(exp.f64 a)) (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (exp.f64 a) 1) (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (exp.f64 a) 1) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (exp.f64 a) 1) (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2))) (-.f64 (exp.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (sqrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (cbrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (exp.f64 a) (/.f64 -1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) |
| 1× | egg-herbie |
| 1392× | associate-*r/ |
| 828× | associate-/r* |
| 812× | *-commutative |
| 776× | associate-*l/ |
| 740× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 270 | 5241 |
| 1 | 749 | 5027 |
| 2 | 2684 | 4963 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (fma.f64 (neg.f64 (exp.f64 b)) 1 (exp.f64 b)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 b))) (sqrt.f64 (exp.f64 b)) (exp.f64 b)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 b)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (fma.f64 (neg.f64 (exp.f64 b)) 1 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 b))) (sqrt.f64 (exp.f64 b)) (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (exp.f64 b)))) |
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (pow.f64 (exp.f64 a) 2)) (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (pow.f64 (exp.f64 a) 2))) |
(+.f64 (*.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))) |
(+.f64 (*.f64 (pow.f64 (exp.f64 a) 2) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (*.f64 (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))) |
(+.f64 (*.f64 (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (*.f64 (pow.f64 (exp.f64 a) 2) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 1) |
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) |
(*.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) |
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) |
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) |
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 -1 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (exp.f64 a))) |
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (sqrt.f64 (exp.f64 a)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1)) |
(*.f64 (/.f64 (exp.f64 a) 1) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) |
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (pow.f64 (exp.f64 a) 3) (*.f64 (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) |
(*.f64 (/.f64 -1 (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (exp.f64 a))) |
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (/.f64 (/.f64 (exp.f64 a) 1) 1) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (exp.f64 a))) |
(*.f64 (/.f64 (exp.f64 a) (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) |
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2))) (-.f64 (exp.f64 b) (exp.f64 a))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2))) (cbrt.f64 (exp.f64 a))) |
(*.f64 (/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (-.f64 (exp.f64 a) (exp.f64 b))) |
(*.f64 (/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))) |
(*.f64 (/.f64 (/.f64 (exp.f64 a) 1) (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (/.f64 (/.f64 (exp.f64 a) 1) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) |
(*.f64 (/.f64 (/.f64 (exp.f64 a) 1) (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2))) (-.f64 (exp.f64 b) (exp.f64 a))) |
(*.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) |
(*.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (sqrt.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) |
(*.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (cbrt.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3) |
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1) |
(neg.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))) |
(neg.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) 1)) |
(neg.f64 (*.f64 (exp.f64 a) (/.f64 -1 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(neg.f64 (*.f64 1 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))) |
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2)) |
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) |
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 (+.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (-.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))))) |
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 b (*.f64 b (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) |
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b (*.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/2 (/.f64 -1 (+.f64 1 (exp.f64 a)))))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) |
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a))) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3)) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 b (*.f64 b (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (*.f64 (-.f64 (fma.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (*.f64 (exp.f64 a) -1/2) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) |
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) 1/6)) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/2 (/.f64 -1 (+.f64 1 (exp.f64 a))))) (+.f64 1 (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/2 (/.f64 -1 (+.f64 1 (exp.f64 a)))))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (fma.f64 (neg.f64 (exp.f64 b)) 1 (exp.f64 b)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (fma.f64 (neg.f64 (exp.f64 b)) 1 (exp.f64 b)))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b)))) (+.f64 (exp.f64 b) (neg.f64 (exp.f64 b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (*.f64 0 (exp.f64 (+.f64 b a))) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 b))) (sqrt.f64 (exp.f64 b)) (exp.f64 b)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 b))) (sqrt.f64 (exp.f64 b)) (exp.f64 b)))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b)))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 b))) (sqrt.f64 (exp.f64 b)) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 b))) (sqrt.f64 (exp.f64 b)) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 b)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 b)))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (fma.f64 (neg.f64 (exp.f64 b)) 1 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (fma.f64 (neg.f64 (exp.f64 b)) 1 (exp.f64 b)))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b)))) (+.f64 (exp.f64 b) (neg.f64 (exp.f64 b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
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(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 2)) |
(fabs.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
Compiled 3940 to 1769 computations (55.1% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 141 | 2 | 143 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 142 | 2 | 144 |
| Status | Error | Program |
|---|---|---|
| ▶ | 22.2b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| ▶ | 13.3b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
Compiled 17 to 13 computations (23.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (exp.f64 b)) |
| ✓ | 0.0b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
Compiled 16 to 10 computations (37.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | -inf | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 0.0ms | b | @ | inf | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 0.0ms | b | @ | 0 | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 0.0ms | b | @ | 0 | (+.f64 1 (exp.f64 b)) |
| 0.0ms | b | @ | inf | (+.f64 1 (exp.f64 b)) |
| 1× | batch-egg-rewrite |
| 1564× | add-sqr-sqrt |
| 1544× | *-un-lft-identity |
| 1440× | add-cube-cbrt |
| 1426× | add-cbrt-cube |
| 1410× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 163 | 28 |
| 2 | 1984 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 1 (exp.f64 b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (exp.f64 (+.f64 b b)))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (/.f64 1 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (exp.f64 (+.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 (exp.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (+.f64 b b)) 1) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 b b))) (cbrt.f64 (exp.f64 b)) 1))))) |
| 1× | egg-herbie |
| 1544× | distribute-lft-in |
| 1474× | distribute-rgt-in |
| 1066× | unswap-sqr |
| 580× | associate-/r* |
| 572× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 1762 |
| 1 | 365 | 1576 |
| 2 | 1354 | 1274 |
| 3 | 5449 | 1274 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
2 |
(+.f64 2 b) |
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) |
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1) |
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b))))) |
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b))))) |
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 (+.f64 b b)))) (-.f64 1 (exp.f64 b))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1)) |
(pow.f64 (+.f64 1 (exp.f64 b)) -1) |
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1) |
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b)))) |
(*.f64 1 (+.f64 1 (exp.f64 b))) |
(*.f64 (+.f64 1 (exp.f64 b)) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b)))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b)))) |
(*.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (/.f64 1 (-.f64 1 (exp.f64 b)))) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))) |
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (exp.f64 (+.f64 b b))))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3)))) |
(/.f64 (+.f64 1 (exp.f64 b)) 1) |
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b))))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b)))) |
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 b))) -1) |
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 1 (exp.f64 b)))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) 1) (expm1.f64 b)) |
(pow.f64 (+.f64 1 (exp.f64 b)) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) |
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b)))) |
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) |
(exp.f64 (log1p.f64 (exp.f64 b))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b)))) |
(fma.f64 1 (exp.f64 b) 1) |
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1) |
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 b b))) (cbrt.f64 (exp.f64 b)) 1) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(fma.f64 -1/4 b 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))) |
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/48 (pow.f64 b 3))) |
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2)) |
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)))) |
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2)) |
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2))) |
2 |
(+.f64 2 b) |
(+.f64 b 2) |
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) |
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2)) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))) |
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 (pow.f64 b 3) 1/6 2)) |
(+.f64 2 (fma.f64 (pow.f64 b 3) 1/6 (fma.f64 1/2 (*.f64 b b) b))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0) |
(/.f64 1 (+.f64 2 (expm1.f64 b))) |
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0) |
(/.f64 1 (+.f64 2 (expm1.f64 b))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0) |
(/.f64 1 (+.f64 2 (expm1.f64 b))) |
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0) |
(/.f64 1 (+.f64 2 (expm1.f64 b))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 b)))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -2)) (cbrt.f64 (+.f64 2 (expm1.f64 b)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b))))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 b)))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -2)) (cbrt.f64 (+.f64 2 (expm1.f64 b)))) |
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b))))) |
(/.f64 -1 (-.f64 -1 (exp.f64 b))) |
(/.f64 -1 (-.f64 -2 (expm1.f64 b))) |
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 (+.f64 b b)))) (-.f64 1 (exp.f64 b))) |
(/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 2) b))) |
(/.f64 1 (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))) |
(/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) 1) (+.f64 1 (pow.f64 (exp.f64 b) 3))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1)) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0) |
(/.f64 1 (+.f64 2 (expm1.f64 b))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1)) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0) |
(/.f64 1 (+.f64 2 (expm1.f64 b))) |
(pow.f64 (+.f64 1 (exp.f64 b)) -1) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0) |
(/.f64 1 (+.f64 2 (expm1.f64 b))) |
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0) |
(/.f64 1 (+.f64 2 (expm1.f64 b))) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0) |
(/.f64 1 (+.f64 2 (expm1.f64 b))) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0) |
(/.f64 1 (+.f64 2 (expm1.f64 b))) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0) |
(/.f64 1 (+.f64 2 (expm1.f64 b))) |
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0) |
(/.f64 1 (+.f64 2 (expm1.f64 b))) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0) |
(/.f64 1 (+.f64 2 (expm1.f64 b))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3)) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0) |
(/.f64 1 (+.f64 2 (expm1.f64 b))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0) |
(/.f64 1 (+.f64 2 (expm1.f64 b))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1)) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1)) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0) |
(/.f64 1 (+.f64 2 (expm1.f64 b))) |
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b)))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b))) |
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)) |
(*.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(*.f64 (+.f64 1 (exp.f64 b)) 1) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(*.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (/.f64 1 (-.f64 1 (exp.f64 b)))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b))) |
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1)) |
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (exp.f64 (+.f64 b b))))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b))) |
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3)))) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1)) |
(/.f64 (+.f64 1 (exp.f64 b)) 1) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) |
(/.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b))) (pow.f64 (+.f64 2 (expm1.f64 b)) -1/2)) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b))))) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b))) |
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1)) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b)))) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1)) |
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 b))) -1) |
(/.f64 (-.f64 -1 (exp.f64 b)) -1) |
(-.f64 1 (/.f64 (exp.f64 b) -1)) |
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 1 (exp.f64 b)))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b))) |
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1)) |
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) 1) (expm1.f64 b)) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b))) |
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)) |
(pow.f64 (+.f64 1 (exp.f64 b)) 1) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(exp.f64 (log1p.f64 (exp.f64 b))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) 1)) |
(exp.f64 (log1p.f64 (exp.f64 b))) |
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(fma.f64 1 (exp.f64 b) 1) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1) |
(+.f64 (+.f64 2 (exp.f64 b)) -1) |
(+.f64 2 (+.f64 (exp.f64 b) -1)) |
(+.f64 2 (expm1.f64 b)) |
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 b b))) (cbrt.f64 (exp.f64 b)) 1) |
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) b)) (cbrt.f64 (exp.f64 b)) 1) |
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 2)) (cbrt.f64 (exp.f64 b)) 1) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
Compiled 17 to 9 computations (47.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | inf | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| 0.0ms | a | @ | -inf | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| 0.0ms | a | @ | 0 | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| 1× | batch-egg-rewrite |
| 1706× | add-sqr-sqrt |
| 1690× | *-un-lft-identity |
| 1576× | add-cube-cbrt |
| 1558× | add-cbrt-cube |
| 162× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 1 | 163 | 19 |
| 2 | 2097 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))))) |
| 1× | egg-herbie |
| 1306× | associate-/r* |
| 1228× | associate-/l/ |
| 940× | associate-/r/ |
| 664× | fma-def |
| 614× | *-commutative |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 1060 |
| 1 | 275 | 992 |
| 2 | 945 | 988 |
| 3 | 3047 | 836 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a)))) |
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) 1) |
(*.f64 (exp.f64 a) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) |
(*.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) |
(*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1) |
(*.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) |
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))) |
(*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))) |
(*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (exp.f64 a)) |
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) 1)))) |
(*.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))) |
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1))) |
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) |
(pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1) |
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) |
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3) |
(pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3) |
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1) |
(neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 a)) -1))) |
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2)) |
(log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) |
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))) |
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3)) |
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(exp.f64 (*.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1)) |
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(fma.f64 1/4 a 1/2) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 1/4 a))) |
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)) |
(fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) 1/2)) |
(fma.f64 a (fma.f64 -1/48 (*.f64 a a) 1/4) 1/2) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a)))) |
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a)))) |
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)) (*.f64 1/480 (pow.f64 a 5))) |
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/480 (pow.f64 a 5) (fma.f64 1/4 a 1/2))) |
(fma.f64 1/480 (pow.f64 a 5) (fma.f64 a (fma.f64 -1/48 (*.f64 a a) 1/4) 1/2)) |
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) 1) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(*.f64 (exp.f64 a) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(*.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(*.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (exp.f64 a)) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1))) |
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 -1 (exp.f64 a))) |
(/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1)))) |
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (exp.f64 a) 1))) |
(/.f64 (exp.f64 a) (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) 1)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1)))) |
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (exp.f64 a) 1))) |
(/.f64 (exp.f64 a) (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(*.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a))) |
(/.f64 (-.f64 (exp.f64 a) (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (+.f64 a a)))) |
(*.f64 (/.f64 (exp.f64 a) (neg.f64 (expm1.f64 (+.f64 a a)))) (neg.f64 (expm1.f64 a))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 (*.f64 a 3)))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) |
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1)))) |
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (exp.f64 a) 1))) |
(/.f64 (exp.f64 a) (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) 1)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1)))) |
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (exp.f64 a) 1))) |
(/.f64 (exp.f64 a) (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1)))) |
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (exp.f64 a) 1))) |
(/.f64 (exp.f64 a) (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1)))) |
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (exp.f64 a) 1))) |
(/.f64 (exp.f64 a) (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) |
(*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))) |
(pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 a)) -1))) |
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1))) |
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 -1 (exp.f64 a))) |
(/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1)) |
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2)) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3)) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(exp.f64 (*.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1)) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
Compiled 1770 to 1092 computations (38.3% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 154 | 6 | 160 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 155 | 7 | 162 |
| Status | Error | Program |
|---|---|---|
| ▶ | 32.1b | (/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))) |
| ▶ | 42.2b | (/.f64 1 (+.f64 b 2)) |
| ✓ | 13.3b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| ▶ | 21.7b | (/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1)) |
| ▶ | 41.1b | (+.f64 1/2 (*.f64 1/4 a)) |
| ▶ | 42.6b | (+.f64 1/2 (*.f64 -1/4 b)) |
| 41.0b | 1/2 |
Compiled 99 to 84 computations (15.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1)) |
| ✓ | 0.0b | (+.f64 (/.f64 -1 (exp.f64 a)) -1) |
| ✓ | 0.0b | (/.f64 -1 (exp.f64 a)) |
Compiled 24 to 16 computations (33.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (/.f64 -1 (exp.f64 a)) |
| 1.0ms | a | @ | inf | (/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1)) |
| 0.0ms | a | @ | -inf | (/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1)) |
| 0.0ms | a | @ | inf | (+.f64 (/.f64 -1 (exp.f64 a)) -1) |
| 0.0ms | a | @ | -inf | (+.f64 (/.f64 -1 (exp.f64 a)) -1) |
| 1× | batch-egg-rewrite |
| 1932× | add-sqr-sqrt |
| 1918× | *-un-lft-identity |
| 1778× | add-cube-cbrt |
| 1760× | add-cbrt-cube |
| 192× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 51 |
| 1 | 194 | 51 |
| 2 | 2447 | 51 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (exp.f64 a)) |
(+.f64 (/.f64 -1 (exp.f64 a)) -1) |
(/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (exp.f64 (neg.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (exp.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) (sqrt.f64 (/.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) (pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 2) (cbrt.f64 (/.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 a) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (exp.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (exp.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 -1) a))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 -1) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (exp.f64 a)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (+.f64 (/.f64 -1 (exp.f64 a)) 1)) (/.f64 1 (+.f64 (/.f64 -1 (exp.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) (sqrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) -1) (/.f64 1 (+.f64 (/.f64 -1 (exp.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 1) (-.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -1 (exp.f64 a)) 1) (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (neg.f64 a)))) (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) -1) (+.f64 (/.f64 -1 (exp.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (-.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (exp.f64 (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) -1)) (neg.f64 (+.f64 (/.f64 -1 (exp.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 -1 (/.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (exp.f64 (neg.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) (sqrt.f64 (/.f64 -1 (exp.f64 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 2) (cbrt.f64 (/.f64 -1 (exp.f64 a))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) -1)) (+.f64 (/.f64 -1 (exp.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))) (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (neg.f64 (/.f64 -1 (exp.f64 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))))))) |
| 1× | egg-herbie |
| 1056× | associate-+r- |
| 768× | unswap-sqr |
| 722× | +-commutative |
| 654× | fma-def |
| 582× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 2710 |
| 1 | 446 | 2236 |
| 2 | 1666 | 2136 |
| 3 | 7522 | 2136 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 a 1) |
(-.f64 (+.f64 a (*.f64 -1/2 (pow.f64 a 2))) 1) |
(-.f64 (+.f64 a (+.f64 (*.f64 -1/2 (pow.f64 a 2)) (*.f64 1/6 (pow.f64 a 3)))) 1) |
-2 |
(-.f64 a 2) |
(-.f64 (+.f64 a (*.f64 -1/2 (pow.f64 a 2))) 2) |
(-.f64 (+.f64 a (+.f64 (*.f64 -1/2 (pow.f64 a 2)) (*.f64 1/6 (pow.f64 a 3)))) 2) |
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a)))) |
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(-.f64 (-.f64 1 (exp.f64 (neg.f64 a))) 1) |
(*.f64 -1 (exp.f64 (neg.f64 a))) |
(*.f64 (/.f64 -1 (exp.f64 a)) 1) |
(*.f64 1 (/.f64 -1 (exp.f64 a))) |
(*.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) (sqrt.f64 (/.f64 -1 (exp.f64 a)))) |
(*.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) (pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 2) (cbrt.f64 (/.f64 -1 (exp.f64 a)))) |
(*.f64 (exp.f64 (neg.f64 a)) -1) |
(pow.f64 (/.f64 -1 (exp.f64 a)) 1) |
(pow.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 2) |
(pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 3) |
(pow.f64 (*.f64 (exp.f64 a) -1) -1) |
(pow.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3)) 1/3) |
(pow.f64 (neg.f64 (exp.f64 a)) -1) |
(neg.f64 (exp.f64 (neg.f64 a))) |
(sqrt.f64 (/.f64 1 (exp.f64 (+.f64 a a)))) |
(log.f64 (exp.f64 (/.f64 -1 (exp.f64 a)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (exp.f64 a))))) |
(cbrt.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) |
(expm1.f64 (log1p.f64 (/.f64 -1 (exp.f64 a)))) |
(exp.f64 (-.f64 (log.f64 -1) a)) |
(exp.f64 (*.f64 (-.f64 (log.f64 -1) a) 1)) |
(log1p.f64 (expm1.f64 (/.f64 -1 (exp.f64 a)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 1) |
(-.f64 (/.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (+.f64 (/.f64 -1 (exp.f64 a)) 1)) (/.f64 1 (+.f64 (/.f64 -1 (exp.f64 a)) 1))) |
(*.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 1) |
(*.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) |
(*.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) (sqrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(*.f64 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) -1) (/.f64 1 (+.f64 (/.f64 -1 (exp.f64 a)) 1))) |
(*.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (neg.f64 a)))))) |
(*.f64 (+.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 1) (-.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 1)) |
(/.f64 1 (/.f64 (+.f64 (/.f64 -1 (exp.f64 a)) 1) (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) -1))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (neg.f64 a)))) (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))))) |
(/.f64 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) -1) (+.f64 (/.f64 -1 (exp.f64 a)) 1)) |
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (neg.f64 a))))) |
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (-.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (exp.f64 (neg.f64 a))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) -1)) (neg.f64 (+.f64 (/.f64 -1 (exp.f64 a)) 1))) |
(/.f64 (neg.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (neg.f64 a)))))) |
(/.f64 (-.f64 1 (/.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 -1 (/.f64 -1 (exp.f64 a)))) |
(pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 1) |
(pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3) |
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 2)) |
(log.f64 (exp.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) |
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(exp.f64 (log.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(fma.f64 -1 (exp.f64 (neg.f64 a)) -1) |
(fma.f64 1 (/.f64 -1 (exp.f64 a)) -1) |
(fma.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) (sqrt.f64 (/.f64 -1 (exp.f64 a))) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 2) (cbrt.f64 (/.f64 -1 (exp.f64 a))) -1) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) 1) |
(*.f64 -1 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(*.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1) |
(*.f64 1 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(*.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) |
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) |
(*.f64 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) -1) |
(*.f64 (/.f64 -1 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) -1)) (+.f64 (/.f64 -1 (exp.f64 a)) 1)) |
(*.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))) (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (neg.f64 a))))) |
(pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 3) |
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3) 1/3) |
(pow.f64 (*.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) -1) -1) |
(pow.f64 (+.f64 1 (neg.f64 (/.f64 -1 (exp.f64 a)))) -1) |
(neg.f64 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(sqrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2)) |
(log.f64 (exp.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))) |
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) |
(exp.f64 (log.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) |
| Outputs |
|---|
-1 |
(-.f64 a 1) |
(+.f64 a -1) |
(+.f64 -1 a) |
(-.f64 (+.f64 a (*.f64 -1/2 (pow.f64 a 2))) 1) |
(+.f64 (+.f64 a (*.f64 -1/2 (*.f64 a a))) -1) |
(+.f64 -1 (fma.f64 -1/2 (*.f64 a a) a)) |
(+.f64 -1 (fma.f64 a (*.f64 a -1/2) a)) |
(-.f64 (+.f64 a (+.f64 (*.f64 -1/2 (pow.f64 a 2)) (*.f64 1/6 (pow.f64 a 3)))) 1) |
(+.f64 a (-.f64 (fma.f64 -1/2 (*.f64 a a) (*.f64 1/6 (pow.f64 a 3))) 1)) |
(+.f64 (fma.f64 1/6 (pow.f64 a 3) (*.f64 (*.f64 -1/2 a) a)) (+.f64 -1 a)) |
(+.f64 (fma.f64 a (*.f64 a -1/2) -1) (fma.f64 1/6 (pow.f64 a 3) a)) |
-2 |
(-.f64 a 2) |
(+.f64 a -2) |
(-.f64 (+.f64 a (*.f64 -1/2 (pow.f64 a 2))) 2) |
(+.f64 (+.f64 a (*.f64 -1/2 (*.f64 a a))) -2) |
(+.f64 (fma.f64 -1/2 (*.f64 a a) a) -2) |
(+.f64 a (fma.f64 a (*.f64 a -1/2) -2)) |
(-.f64 (+.f64 a (+.f64 (*.f64 -1/2 (pow.f64 a 2)) (*.f64 1/6 (pow.f64 a 3)))) 2) |
(+.f64 a (-.f64 (fma.f64 -1/2 (*.f64 a a) (*.f64 1/6 (pow.f64 a 3))) 2)) |
(+.f64 a (+.f64 (fma.f64 1/6 (pow.f64 a 3) (*.f64 (*.f64 -1/2 a) a)) -2)) |
(+.f64 a (fma.f64 1/6 (pow.f64 a 3) (fma.f64 a (*.f64 a -1/2) -2))) |
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(*.f64 -1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (*.f64 a 1/4)) |
(fma.f64 a 1/4 1/2) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 a 1/4))) |
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 1/2)) |
(fma.f64 a 1/4 (fma.f64 (pow.f64 a 3) -1/48 1/2)) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a)))) |
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4)))) |
(+.f64 (fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 1/2)) (*.f64 1/480 (pow.f64 a 5))) |
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2))) |
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(-.f64 (-.f64 1 (exp.f64 (neg.f64 a))) 1) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(*.f64 -1 (exp.f64 (neg.f64 a))) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(*.f64 (/.f64 -1 (exp.f64 a)) 1) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(*.f64 1 (/.f64 -1 (exp.f64 a))) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(*.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) (sqrt.f64 (/.f64 -1 (exp.f64 a)))) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(*.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) (pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 2)) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 2) (cbrt.f64 (/.f64 -1 (exp.f64 a)))) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(*.f64 (exp.f64 (neg.f64 a)) -1) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(pow.f64 (/.f64 -1 (exp.f64 a)) 1) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(pow.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 2) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 3) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(pow.f64 (*.f64 (exp.f64 a) -1) -1) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(pow.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3)) 1/3) |
(cbrt.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) |
(pow.f64 (neg.f64 (exp.f64 a)) -1) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(neg.f64 (exp.f64 (neg.f64 a))) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(sqrt.f64 (/.f64 1 (exp.f64 (+.f64 a a)))) |
(sqrt.f64 (exp.f64 (neg.f64 (+.f64 a a)))) |
(sqrt.f64 (exp.f64 (*.f64 -2 a))) |
(sqrt.f64 (pow.f64 (exp.f64 -2) a)) |
(log.f64 (exp.f64 (/.f64 -1 (exp.f64 a)))) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (exp.f64 a))))) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(cbrt.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) |
(expm1.f64 (log1p.f64 (/.f64 -1 (exp.f64 a)))) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(exp.f64 (-.f64 (log.f64 -1) a)) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(exp.f64 (*.f64 (-.f64 (log.f64 -1) a) 1)) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(log1p.f64 (expm1.f64 (/.f64 -1 (exp.f64 a)))) |
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1) |
(/.f64 -1 (exp.f64 a)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 1) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(-.f64 (/.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (+.f64 (/.f64 -1 (exp.f64 a)) 1)) (/.f64 1 (+.f64 (/.f64 -1 (exp.f64 a)) 1))) |
(-.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 a a))) (+.f64 1 (/.f64 -1 (exp.f64 a)))) (/.f64 1 (+.f64 1 (/.f64 -1 (exp.f64 a))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 a)) (-.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 -1 (-.f64 1 (exp.f64 (neg.f64 a))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) a) (-.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (expm1.f64 (neg.f64 a)))) |
(*.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 1) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(*.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(*.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) (sqrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2)) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(*.f64 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) -1) (/.f64 1 (+.f64 (/.f64 -1 (exp.f64 a)) 1))) |
(/.f64 1 (/.f64 (+.f64 1 (/.f64 -1 (exp.f64 a))) (+.f64 -1 (exp.f64 (neg.f64 (+.f64 a a)))))) |
(/.f64 (+.f64 -1 (exp.f64 (*.f64 -2 a))) (-.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) a)) (expm1.f64 (neg.f64 a))) |
(*.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (neg.f64 a)))))) |
(*.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) (exp.f64 (neg.f64 (+.f64 a a)))))) |
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (-.f64 (exp.f64 (*.f64 -2 a)) (exp.f64 (neg.f64 a))))) |
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 3 a)))) (-.f64 (expm1.f64 (neg.f64 a)) (pow.f64 (exp.f64 -2) a))) |
(*.f64 (+.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 1) (-.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 1)) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 -1 (exp.f64 a)) 1) (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) -1))) |
(/.f64 1 (/.f64 (+.f64 1 (/.f64 -1 (exp.f64 a))) (+.f64 -1 (exp.f64 (neg.f64 (+.f64 a a)))))) |
(/.f64 (+.f64 -1 (exp.f64 (*.f64 -2 a))) (-.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) a)) (expm1.f64 (neg.f64 a))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (neg.f64 a)))) (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))))) |
(*.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) (exp.f64 (neg.f64 (+.f64 a a)))))) |
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (-.f64 (exp.f64 (*.f64 -2 a)) (exp.f64 (neg.f64 a))))) |
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 3 a)))) (-.f64 (expm1.f64 (neg.f64 a)) (pow.f64 (exp.f64 -2) a))) |
(/.f64 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) -1) (+.f64 (/.f64 -1 (exp.f64 a)) 1)) |
(/.f64 1 (/.f64 (+.f64 1 (/.f64 -1 (exp.f64 a))) (+.f64 -1 (exp.f64 (neg.f64 (+.f64 a a)))))) |
(/.f64 (+.f64 -1 (exp.f64 (*.f64 -2 a))) (-.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) a)) (expm1.f64 (neg.f64 a))) |
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (neg.f64 a))))) |
(*.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) (exp.f64 (neg.f64 (+.f64 a a)))))) |
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (-.f64 (exp.f64 (*.f64 -2 a)) (exp.f64 (neg.f64 a))))) |
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 3 a)))) (-.f64 (expm1.f64 (neg.f64 a)) (pow.f64 (exp.f64 -2) a))) |
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (-.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (exp.f64 (neg.f64 a))))) |
(*.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) (exp.f64 (neg.f64 (+.f64 a a)))))) |
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (-.f64 (exp.f64 (*.f64 -2 a)) (exp.f64 (neg.f64 a))))) |
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 3 a)))) (-.f64 (expm1.f64 (neg.f64 a)) (pow.f64 (exp.f64 -2) a))) |
(/.f64 (neg.f64 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) -1)) (neg.f64 (+.f64 (/.f64 -1 (exp.f64 a)) 1))) |
(/.f64 1 (/.f64 (+.f64 1 (/.f64 -1 (exp.f64 a))) (+.f64 -1 (exp.f64 (neg.f64 (+.f64 a a)))))) |
(/.f64 (+.f64 -1 (exp.f64 (*.f64 -2 a))) (-.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) a)) (expm1.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (neg.f64 a)))))) |
(*.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (/.f64 1 (+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) (exp.f64 (neg.f64 (+.f64 a a)))))) |
(/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (-.f64 (exp.f64 (*.f64 -2 a)) (exp.f64 (neg.f64 a))))) |
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 3 a)))) (-.f64 (expm1.f64 (neg.f64 a)) (pow.f64 (exp.f64 -2) a))) |
(/.f64 (-.f64 1 (/.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 -1 (/.f64 -1 (exp.f64 a)))) |
(/.f64 1 (/.f64 (+.f64 1 (/.f64 -1 (exp.f64 a))) (+.f64 -1 (exp.f64 (neg.f64 (+.f64 a a)))))) |
(/.f64 (+.f64 -1 (exp.f64 (*.f64 -2 a))) (-.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) a)) (expm1.f64 (neg.f64 a))) |
(pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 1) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 3) 1/3) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 2)) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(log.f64 (exp.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 3)) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(exp.f64 (log.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1)) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(fma.f64 -1 (exp.f64 (neg.f64 a)) -1) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(fma.f64 1 (/.f64 -1 (exp.f64 a)) -1) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(fma.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) (sqrt.f64 (/.f64 -1 (exp.f64 a))) -1) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (exp.f64 a))) 2) (cbrt.f64 (/.f64 -1 (exp.f64 a))) -1) |
(+.f64 -1 (neg.f64 (exp.f64 (neg.f64 a)))) |
(-.f64 -1 (exp.f64 (neg.f64 a))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) 1) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(*.f64 -1 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(*.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(*.f64 1 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(*.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2)) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(*.f64 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) -1) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(*.f64 (/.f64 -1 (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) -1)) (+.f64 (/.f64 -1 (exp.f64 a)) 1)) |
(/.f64 (+.f64 (exp.f64 (neg.f64 a)) -1) (+.f64 -1 (exp.f64 (neg.f64 (+.f64 a a))))) |
(/.f64 (+.f64 -1 (exp.f64 (neg.f64 a))) (+.f64 -1 (exp.f64 (*.f64 -2 a)))) |
(/.f64 (expm1.f64 (neg.f64 a)) (+.f64 -1 (pow.f64 (exp.f64 -2) a))) |
(*.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))) (+.f64 (/.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (neg.f64 a))))) |
(/.f64 (neg.f64 (+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) (exp.f64 (neg.f64 (+.f64 a a))))) (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))) |
(/.f64 (-.f64 (+.f64 -1 (exp.f64 (neg.f64 a))) (exp.f64 (*.f64 -2 a))) (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))) |
(/.f64 (-.f64 (expm1.f64 (neg.f64 a)) (pow.f64 (exp.f64 -2) a)) (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))) |
(pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 3) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3) 1/3) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(pow.f64 (*.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) -1) -1) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(pow.f64 (+.f64 1 (neg.f64 (/.f64 -1 (exp.f64 a)))) -1) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(neg.f64 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(sqrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 2)) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(log.f64 (exp.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3)) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(exp.f64 (log.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 1)) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (-.f64 -1 (exp.f64 (neg.f64 a)))) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 13 to 10 computations (23.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 b 2)) |
Compiled 13 to 10 computations (23.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (/.f64 1 (+.f64 b 2)) |
| 0.0ms | b | @ | inf | (/.f64 1 (+.f64 b 2)) |
| 0.0ms | b | @ | -inf | (/.f64 1 (+.f64 b 2)) |
| 1× | batch-egg-rewrite |
| 1446× | add-sqr-sqrt |
| 1420× | *-un-lft-identity |
| 1336× | add-cube-cbrt |
| 1326× | add-cbrt-cube |
| 1314× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 150 | 13 |
| 2 | 1805 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 b 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (fma.f64 b b (-.f64 4 (*.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2)))))))) |
| 1× | egg-herbie |
| 1522× | associate-/l* |
| 1310× | associate-/r* |
| 984× | associate-*r* |
| 794× | associate-*l* |
| 718× | associate-*r/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 1008 |
| 1 | 241 | 886 |
| 2 | 779 | 766 |
| 3 | 3186 | 760 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))) |
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))) |
(/.f64 1 b) |
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4))))) |
(/.f64 1 b) |
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(*.f64 1 (/.f64 1 (+.f64 b 2))) |
(*.f64 (/.f64 1 (+.f64 b 2)) 1) |
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (/.f64 1 (+.f64 b 2)))) |
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 b) -2))) |
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2)) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (fma.f64 b b (-.f64 4 (*.f64 b 2)))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1)) |
(pow.f64 (+.f64 b 2) -1) |
(pow.f64 (/.f64 1 (+.f64 b 2)) 1) |
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 b 2) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 b 2)))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2)))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 b 2)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 b 2)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b 2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(fma.f64 -1/4 b 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))) |
(+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b))) |
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/8 (*.f64 b b)))) |
(fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 1/2)) |
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))) |
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)))) |
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/8 (*.f64 b b))))) |
(fma.f64 -1/16 (pow.f64 b 3) (fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 1/2))) |
(/.f64 1 b) |
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))) |
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) |
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))) |
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (/.f64 4 (pow.f64 b 3))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b)))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4))))) |
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4)))) |
(+.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4)))) |
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4)))) |
(+.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -8 (pow.f64 b 4))))) |
(/.f64 1 b) |
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))) |
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) |
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))) |
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (/.f64 4 (pow.f64 b 3))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b)))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4))))) |
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4)))) |
(+.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4)))) |
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4)))) |
(+.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -8 (pow.f64 b 4))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(*.f64 1 (/.f64 1 (+.f64 b 2))) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(*.f64 (/.f64 1 (+.f64 b 2)) 1) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2)) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (/.f64 1 (+.f64 b 2)))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2))) |
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 b) -2))) |
(/.f64 -1 (+.f64 -2 (neg.f64 b))) |
(/.f64 -1 (-.f64 -2 b)) |
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2)) |
(/.f64 (+.f64 b -2) (fma.f64 b b -4)) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (fma.f64 b b (-.f64 4 (*.f64 b 2)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (fma.f64 b b (-.f64 4 (*.f64 b 2)))) |
(/.f64 (fma.f64 b b (+.f64 4 (*.f64 b -2))) (+.f64 (pow.f64 b 3) 8)) |
(/.f64 (fma.f64 b b (fma.f64 b -2 4)) (+.f64 (pow.f64 b 3) 8)) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1)) |
(pow.f64 (sqrt.f64 (+.f64 b 2)) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2)) (/.f64 1 (cbrt.f64 (+.f64 b 2)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2)) (cbrt.f64 (+.f64 b 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) -2) (cbrt.f64 (+.f64 b 2))) |
(pow.f64 (+.f64 b 2) -1) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(pow.f64 (/.f64 1 (+.f64 b 2)) 1) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) 3) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3) 1/3) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(sqrt.f64 (pow.f64 (+.f64 b 2) -2)) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 b 2)))) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3)) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2)))) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(exp.f64 (neg.f64 (log.f64 (+.f64 b 2)))) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(exp.f64 (*.f64 (log.f64 (+.f64 b 2)) -1)) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b 2))) 1)) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2)))) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
| ✓ | 0.6b | (/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))) |
Compiled 37 to 22 computations (40.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | b | @ | inf | (/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))) |
| 0.0ms | b | @ | 0 | (/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))) |
| 0.0ms | b | @ | -inf | (/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))) |
| 0.0ms | b | @ | inf | (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
| 0.0ms | b | @ | -inf | (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
| 1× | batch-egg-rewrite |
| 1202× | associate-*r/ |
| 1032× | *-commutative |
| 964× | associate-*l/ |
| 836× | distribute-lft-in |
| 390× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 56 |
| 1 | 244 | 48 |
| 2 | 3195 | 48 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (*.f64 b (*.f64 b 1/2))) 1 (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (*.f64 b b)) 1/2 (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 -1/2 (*.f64 b b) (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (*.f64 b (sqrt.f64 1/2))) (*.f64 b (sqrt.f64 1/2)) (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2)))) (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 b) (*.f64 b 1/2) (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) b) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (-.f64 2 (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) 2) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (-.f64 b (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (neg.f64 (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 (*.f64 b (*.f64 b 1/2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 (*.f64 b b) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 1/2 (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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| 1× | egg-herbie |
| 996× | +-commutative |
| 776× | associate-+r+ |
| 738× | associate-*r* |
| 676× | associate-+l+ |
| 590× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 552 | 15152 |
| 1 | 1614 | 13652 |
| 2 | 6981 | 13652 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b))) |
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2 |
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(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) (sqrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2)) (cbrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 b 2) 2) (pow.f64 (+.f64 b 2) 2)) (*.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 4) 1/4))) (/.f64 1 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))))) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 b 2) 2) 3) (pow.f64 (*.f64 (pow.f64 b 4) 1/4) 3)) (/.f64 1 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))))) (+.f64 (*.f64 (pow.f64 (+.f64 b 2) 2) (pow.f64 (+.f64 b 2) 2)) (+.f64 (*.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 4) 1/4)) (*.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 b 2) 3) (pow.f64 (+.f64 b 2) 3)) (*.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (/.f64 1 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))))) (-.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 b 2) 3) 3) (pow.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))))) (+.f64 (*.f64 (pow.f64 (+.f64 b 2) 3) (pow.f64 (+.f64 b 2) 3)) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (*.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))))) |
(/.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2)) (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2)) |
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -2))) |
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -2))) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))) (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))) |
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)))) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))) |
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) -1)) (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) -1)) |
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) -1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) -1)) |
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 1) (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2)) |
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2))) |
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))) |
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)) (sqrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))))) (sqrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)) (*.f64 (cbrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))) (cbrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))))) (cbrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)) (+.f64 (*.f64 b (sqrt.f64 1/2)) (sqrt.f64 (+.f64 b 2)))) (-.f64 (sqrt.f64 (+.f64 b 2)) (*.f64 b (sqrt.f64 1/2)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))))) |
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 3) |
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 2)) |
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))) |
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) |
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) |
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) |
(fma.f64 1 b (+.f64 2 (*.f64 b (*.f64 b 1/2)))) |
(fma.f64 1 (+.f64 b 2) (*.f64 b (*.f64 b 1/2))) |
(fma.f64 1 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2)) |
(fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) |
(fma.f64 (*.f64 b b) 1/2 (+.f64 b 2)) |
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) (+.f64 b 2)) |
(fma.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2))) |
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 2 (*.f64 b (*.f64 b 1/2)))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (+.f64 b 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) (cbrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2))) |
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 2 (*.f64 b (*.f64 b 1/2)))) |
(fma.f64 (*.f64 b 1/2) b (+.f64 b 2)) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(fma.f64 -1/4 b 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b))) |
(+.f64 1/2 (fma.f64 1/16 (pow.f64 b 3) (*.f64 -1/4 b))) |
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/16 (pow.f64 b 3))) |
(+.f64 1/2 (+.f64 (*.f64 -1/32 (pow.f64 b 4)) (+.f64 (*.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
(+.f64 1/2 (fma.f64 -1/32 (pow.f64 b 4) (fma.f64 1/16 (pow.f64 b 3) (*.f64 -1/4 b)))) |
(+.f64 (fma.f64 -1/32 (pow.f64 b 4) (*.f64 1/16 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2)) |
(+.f64 (fma.f64 -1/4 b 1/2) (fma.f64 -1/32 (pow.f64 b 4) (*.f64 1/16 (pow.f64 b 3)))) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (*.f64 b b)) |
(/.f64 (/.f64 2 b) b) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 4 (/.f64 1 (pow.f64 b 3)))) |
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 2 b) b) (/.f64 -4 (pow.f64 b 3))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3)))) |
(-.f64 (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 16 (pow.f64 b 5))) (/.f64 4 (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 2 b) b) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 b 6))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) |
(-.f64 (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 16 (pow.f64 b 5))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))) |
(+.f64 (+.f64 (/.f64 16 (pow.f64 b 5)) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 32 (pow.f64 b 6)))) (/.f64 -4 (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 2 b) b) (+.f64 (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 32 (pow.f64 b 6))) (/.f64 -4 (pow.f64 b 3)))) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (*.f64 b b)) |
(/.f64 (/.f64 2 b) b) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 4 (/.f64 1 (pow.f64 b 3)))) |
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 2 b) b) (/.f64 -4 (pow.f64 b 3))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3)))) |
(-.f64 (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 16 (pow.f64 b 5))) (/.f64 4 (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 2 b) b) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 b 6))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) |
(-.f64 (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 16 (pow.f64 b 5))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))) |
(+.f64 (+.f64 (/.f64 16 (pow.f64 b 5)) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 32 (pow.f64 b 6)))) (/.f64 -4 (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 2 b) b) (+.f64 (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 32 (pow.f64 b 6))) (/.f64 -4 (pow.f64 b 3)))) |
2 |
(+.f64 2 b) |
(+.f64 b 2) |
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(*.f64 1/2 (pow.f64 b 2)) |
(*.f64 1/2 (*.f64 b b)) |
(+.f64 b (*.f64 1/2 (pow.f64 b 2))) |
(+.f64 b (*.f64 1/2 (*.f64 b b))) |
(fma.f64 1/2 (*.f64 b b) b) |
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(*.f64 1/2 (pow.f64 b 2)) |
(*.f64 1/2 (*.f64 b b)) |
(+.f64 b (*.f64 1/2 (pow.f64 b 2))) |
(+.f64 b (*.f64 1/2 (*.f64 b b))) |
(fma.f64 1/2 (*.f64 b b) b) |
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (*.f64 b (*.f64 b 1/2))) 1 (*.f64 b (*.f64 b 1/2))))) |
(+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (/.f64 (*.f64 1 (fma.f64 (*.f64 (*.f64 b b) -1/2) 1 (*.f64 1/2 (*.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))) |
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2))) (/.f64 (*.f64 (*.f64 b b) 0) (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4))))) |
(+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (*.f64 b b)) 1/2 (*.f64 b (*.f64 b 1/2))))) |
(+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (/.f64 (*.f64 1 (fma.f64 (*.f64 (*.f64 b b) -1/2) 1 (*.f64 1/2 (*.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))) |
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2))) (/.f64 (*.f64 (*.f64 b b) 0) (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4))))) |
(+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 -1/2 (*.f64 b b) (*.f64 b (*.f64 b 1/2))))) |
(+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (/.f64 (*.f64 1 (fma.f64 (*.f64 (*.f64 b b) -1/2) 1 (*.f64 1/2 (*.f64 b b)))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))) |
(+.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2))) (/.f64 (*.f64 (*.f64 b b) 0) (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4))))) |
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(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3) 1/3) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 2)) |
(fabs.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2))) |
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3)) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(fma.f64 1 b (+.f64 2 (*.f64 b (*.f64 b 1/2)))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(fma.f64 1 (+.f64 b 2) (*.f64 b (*.f64 b 1/2))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(fma.f64 1 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2)) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(fma.f64 (*.f64 b b) 1/2 (+.f64 b 2)) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) (+.f64 b 2)) |
(fma.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 2 (*.f64 b (*.f64 b 1/2)))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (+.f64 b 2)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 b b))) (+.f64 b 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) (cbrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 2 (*.f64 b (*.f64 b 1/2)))) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(fma.f64 (*.f64 b 1/2) b (+.f64 b 2)) |
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
Compiled 13616 to 10131 computations (25.6% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 552 | 9 | 561 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 3 | 5 |
| Total | 554 | 14 | 568 |
| Status | Error | Program |
|---|---|---|
| 52.0b | (/.f64 (/.f64 2 b) b) | |
| 38.9b | (/.f64 (+.f64 b (-.f64 -2 (*.f64 1/2 (*.f64 b b)))) (-.f64 (*.f64 b b) (*.f64 (+.f64 2 (*.f64 1/2 (*.f64 b b))) (+.f64 2 (*.f64 1/2 (*.f64 b b)))))) | |
| ▶ | 51.8b | (/.f64 2 (*.f64 b b)) |
| ✓ | 32.1b | (/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))) |
| 51.6b | (/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b)))) | |
| ▶ | 21.7b | (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
| ✓ | 13.3b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| ▶ | 61.6b | (/.f64 1 b) |
| 40.6b | (/.f64 -1 (-.f64 a 2)) | |
| ▶ | 30.8b | (/.f64 -1 (+.f64 (+.f64 a (*.f64 -1/2 (*.f64 a a))) -2)) |
| ▶ | 25.0b | (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
| ✓ | 41.1b | (+.f64 1/2 (*.f64 1/4 a)) |
| ✓ | 42.6b | (+.f64 1/2 (*.f64 -1/4 b)) |
| 41.0b | 1/2 |
Compiled 240 to 182 computations (24.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
| ✓ | 0.0b | (+.f64 1 (exp.f64 (neg.f64 a))) |
Compiled 21 to 11 computations (47.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | inf | (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
| 0.0ms | a | @ | -inf | (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
| 0.0ms | a | @ | 0 | (+.f64 1 (exp.f64 (neg.f64 a))) |
| 0.0ms | a | @ | 0 | (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
| 0.0ms | a | @ | inf | (+.f64 1 (exp.f64 (neg.f64 a))) |
| 1× | batch-egg-rewrite |
| 1608× | add-sqr-sqrt |
| 1588× | *-un-lft-identity |
| 1482× | add-cube-cbrt |
| 1468× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 185 | 28 |
| 2 | 2303 | 28 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (exp.f64 (neg.f64 a))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (/.f64 1 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (exp.f64 (+.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (exp.f64 (*.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (exp.f64 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 a 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -1/2) (pow.f64 (+.f64 1 (exp.f64 a)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 a 3)))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))) |
| 1× | egg-herbie |
| 952× | associate-+r+ |
| 810× | unswap-sqr |
| 786× | associate-+l+ |
| 730× | associate-/r* |
| 610× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 1656 |
| 1 | 372 | 1574 |
| 2 | 1385 | 1488 |
| 3 | 5965 | 1488 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 (*.f64 -1 a)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (*.f64 -1 a))) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 a 3)) (*.f64 -1 a)))) |
(+.f64 1 (exp.f64 (*.f64 -1 a))) |
(+.f64 1 (exp.f64 (*.f64 -1 a))) |
(+.f64 1 (exp.f64 (*.f64 -1 a))) |
(+.f64 1 (exp.f64 (*.f64 -1 a))) |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 -1 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 -1 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 -1 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 -1 a)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))) 1) |
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a)))) |
(*.f64 1 (+.f64 1 (exp.f64 a))) |
(*.f64 (+.f64 1 (exp.f64 a)) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a)))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a)))) |
(*.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (/.f64 1 (-.f64 1 (exp.f64 a)))) |
(*.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))) |
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 a)))) |
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (exp.f64 (+.f64 a a))))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (exp.f64 (*.f64 a 3))))) |
(/.f64 (+.f64 1 (exp.f64 a)) 1) |
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) -1/2)) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a))) |
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))) |
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 (+.f64 1 (exp.f64 a))) -1) |
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 a 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (expm1.f64 a)) |
(pow.f64 (+.f64 1 (exp.f64 a)) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) |
(log.f64 (exp.f64 (+.f64 1 (exp.f64 a)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 a))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))) |
(exp.f64 (log1p.f64 (exp.f64 a))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a)))) |
(fma.f64 1 (exp.f64 a) 1) |
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1) |
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) 1) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 a)))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1) |
(*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -1/2) (pow.f64 (+.f64 1 (exp.f64 a)) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) |
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 a))))) |
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 1 (exp.f64 a))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 a 3)))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) -1)) |
(pow.f64 (+.f64 1 (exp.f64 a)) -1) |
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) |
| Outputs |
|---|
2 |
(+.f64 2 (*.f64 -1 a)) |
(+.f64 2 (neg.f64 a)) |
(-.f64 2 a) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (*.f64 -1 a))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (neg.f64 a))) |
(fma.f64 1/2 (*.f64 a a) (-.f64 2 a)) |
(fma.f64 a (*.f64 a 1/2) (-.f64 2 a)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 a 3)) (*.f64 -1 a)))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (fma.f64 -1/6 (pow.f64 a 3) (neg.f64 a)))) |
(+.f64 (fma.f64 1/2 (*.f64 a a) (-.f64 2 a)) (*.f64 -1/6 (pow.f64 a 3))) |
(-.f64 (fma.f64 a (*.f64 a 1/2) (fma.f64 -1/6 (pow.f64 a 3) 2)) a) |
(+.f64 1 (exp.f64 (*.f64 -1 a))) |
(+.f64 1 (exp.f64 (neg.f64 a))) |
(+.f64 1 (exp.f64 (*.f64 -1 a))) |
(+.f64 1 (exp.f64 (neg.f64 a))) |
(+.f64 1 (exp.f64 (*.f64 -1 a))) |
(+.f64 1 (exp.f64 (neg.f64 a))) |
(+.f64 1 (exp.f64 (*.f64 -1 a))) |
(+.f64 1 (exp.f64 (neg.f64 a))) |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (*.f64 a 1/4)) |
(fma.f64 a 1/4 1/2) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 a 1/4))) |
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 1/2)) |
(fma.f64 a 1/4 (fma.f64 (pow.f64 a 3) -1/48 1/2)) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a)))) |
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4)))) |
(+.f64 (fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 1/2)) (*.f64 1/480 (pow.f64 a 5))) |
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2))) |
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 -1 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 -1 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 -1 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 -1 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))) 1) |
(+.f64 1 (exp.f64 a)) |
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a)))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) a)) (-.f64 1 (exp.f64 a))) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(*.f64 1 (+.f64 1 (exp.f64 a))) |
(+.f64 1 (exp.f64 a)) |
(*.f64 (+.f64 1 (exp.f64 a)) 1) |
(+.f64 1 (exp.f64 a)) |
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a)))) |
(+.f64 1 (exp.f64 a)) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) |
(+.f64 1 (exp.f64 a)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a)))) |
(+.f64 1 (exp.f64 a)) |
(*.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (/.f64 1 (-.f64 1 (exp.f64 a)))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) a)) (-.f64 1 (exp.f64 a))) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(*.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) |
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 a)))) |
(+.f64 1 (exp.f64 a)) |
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (exp.f64 (+.f64 a a))))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) a)) (-.f64 1 (exp.f64 a))) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (exp.f64 (*.f64 a 3))))) |
(*.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) |
(/.f64 (+.f64 1 (exp.f64 a)) 1) |
(+.f64 1 (exp.f64 a)) |
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) -1/2)) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a))))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) a)) (-.f64 1 (exp.f64 a))) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))) |
(*.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) |
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a)))) |
(*.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) |
(/.f64 (neg.f64 (+.f64 1 (exp.f64 a))) -1) |
(+.f64 1 (exp.f64 a)) |
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 1 (exp.f64 a)))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) a)) (-.f64 1 (exp.f64 a))) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 a 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))) |
(*.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) |
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (expm1.f64 a)) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) a)) (-.f64 1 (exp.f64 a))) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(pow.f64 (+.f64 1 (exp.f64 a)) 1) |
(+.f64 1 (exp.f64 a)) |
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) 2) |
(+.f64 1 (exp.f64 a)) |
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 3) |
(+.f64 1 (exp.f64 a)) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) 1/3) |
(+.f64 1 (exp.f64 a)) |
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) |
(+.f64 1 (exp.f64 a)) |
(log.f64 (exp.f64 (+.f64 1 (exp.f64 a)))) |
(+.f64 1 (exp.f64 a)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 a))))) |
(+.f64 1 (exp.f64 a)) |
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(+.f64 1 (exp.f64 a)) |
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))) |
(+.f64 1 (exp.f64 a)) |
(exp.f64 (log1p.f64 (exp.f64 a))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1)) |
(exp.f64 (log1p.f64 (exp.f64 a))) |
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a)))) |
(+.f64 1 (exp.f64 a)) |
(fma.f64 1 (exp.f64 a) 1) |
(+.f64 1 (exp.f64 a)) |
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1) |
(+.f64 1 (exp.f64 a)) |
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) 1) |
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) a)) (cbrt.f64 (exp.f64 a)) 1) |
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (cbrt.f64 (exp.f64 a)) 1) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 1) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -1/2) (pow.f64 (+.f64 1 (exp.f64 a)) -1/2)) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2))) |
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2))) |
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2))) |
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 a))))) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 1 (exp.f64 a))) |
(*.f64 (-.f64 1 (exp.f64 a)) (/.f64 1 (-.f64 1 (exp.f64 (+.f64 a a))))) |
(/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 2) a))) |
(/.f64 1 (/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 a 3)))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))) |
(*.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 a 3))))) |
(/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (+.f64 1 (pow.f64 (exp.f64 a) 3))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) -1)) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) -1)) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(pow.f64 (+.f64 1 (exp.f64 a)) -1) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -1/2) 2) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) 3) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 3) 1/3) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 3)) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) -1)) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1)) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) |
(/.f64 1 (+.f64 1 (exp.f64 a))) |
(/.f64 -1 (-.f64 -1 (exp.f64 a))) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.6b | (/.f64 2 (*.f64 b b)) |
Compiled 12 to 6 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | b | @ | 0 | (/.f64 2 (*.f64 b b)) |
| 0.0ms | b | @ | inf | (/.f64 2 (*.f64 b b)) |
| 0.0ms | b | @ | -inf | (/.f64 2 (*.f64 b b)) |
| 1× | batch-egg-rewrite |
| 1198× | add-sqr-sqrt |
| 1176× | *-un-lft-identity |
| 1120× | pow1 |
| 1100× | add-cube-cbrt |
| 1092× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 128 | 13 |
| 2 | 1563 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (*.f64 b b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) b) (/.f64 (sqrt.f64 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) (cbrt.f64 (/.f64 4 (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 b 4))) (cbrt.f64 (/.f64 2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 b) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 b b) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 b b)))))))) |
| 1× | egg-herbie |
| 1406× | distribute-rgt-in |
| 1398× | associate-/r* |
| 1372× | distribute-lft-in |
| 992× | associate-+r+ |
| 956× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 485 |
| 1 | 134 | 485 |
| 2 | 448 | 485 |
| 3 | 2605 | 485 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (pow.f64 b 2)) |
(-.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) 1) |
(*.f64 2 (pow.f64 b -2)) |
(*.f64 (/.f64 2 (*.f64 b b)) 1) |
(*.f64 1 (/.f64 2 (*.f64 b b))) |
(*.f64 (/.f64 (sqrt.f64 2) b) (/.f64 (sqrt.f64 2) b)) |
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) (cbrt.f64 (/.f64 4 (pow.f64 b 4)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 b 4))) (cbrt.f64 (/.f64 2 (*.f64 b b)))) |
(*.f64 (/.f64 2 b) (/.f64 1 b)) |
(*.f64 (pow.f64 b -2) 2) |
(*.f64 -2 (/.f64 1 (*.f64 b (neg.f64 b)))) |
(pow.f64 (/.f64 2 (*.f64 b b)) 1) |
(pow.f64 (/.f64 (sqrt.f64 2) b) 2) |
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) 3) |
(pow.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3) 1/3) |
(pow.f64 (*.f64 (*.f64 b b) 1/2) -1) |
(sqrt.f64 (/.f64 4 (pow.f64 b 4))) |
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 b -2))) |
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 b b)))) |
(exp.f64 (log.f64 (/.f64 2 (*.f64 b b)))) |
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 b b)))) |
| Outputs |
|---|
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(/.f64 2 (pow.f64 b 2)) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(-.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) 1) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(*.f64 2 (pow.f64 b -2)) |
(/.f64 2 (*.f64 b b)) |
(*.f64 (/.f64 2 (*.f64 b b)) 1) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(*.f64 1 (/.f64 2 (*.f64 b b))) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(*.f64 (/.f64 (sqrt.f64 2) b) (/.f64 (sqrt.f64 2) b)) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) (cbrt.f64 (/.f64 4 (pow.f64 b 4)))) |
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 b -2))) (cbrt.f64 (/.f64 4 (pow.f64 b 4)))) |
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 b 4))) (cbrt.f64 (/.f64 2 (*.f64 b b)))) |
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) (cbrt.f64 (/.f64 4 (pow.f64 b 4)))) |
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 b -2))) (cbrt.f64 (/.f64 4 (pow.f64 b 4)))) |
(*.f64 (/.f64 2 b) (/.f64 1 b)) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(*.f64 (pow.f64 b -2) 2) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(*.f64 -2 (/.f64 1 (*.f64 b (neg.f64 b)))) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(pow.f64 (/.f64 2 (*.f64 b b)) 1) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(pow.f64 (/.f64 (sqrt.f64 2) b) 2) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) 3) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(pow.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3) 1/3) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(pow.f64 (*.f64 (*.f64 b b) 1/2) -1) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(sqrt.f64 (/.f64 4 (pow.f64 b 4))) |
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 b -2))) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3)) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 b b)))) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(exp.f64 (log.f64 (/.f64 2 (*.f64 b b)))) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 b b)))) |
(/.f64 2 (*.f64 b b)) |
(*.f64 2 (pow.f64 b -2)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (/.f64 1 (+.f64 b 2))) |
| 0.0b | (/.f64 1 (+.f64 b 2)) | |
| ✓ | 2.6b | (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
Compiled 29 to 24 computations (17.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | b | @ | 0 | (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
| 0.0ms | b | @ | inf | (+.f64 1 (/.f64 1 (+.f64 b 2))) |
| 0.0ms | b | @ | inf | (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
| 0.0ms | b | @ | 0 | (+.f64 1 (/.f64 1 (+.f64 b 2))) |
| 0.0ms | b | @ | -inf | (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
| 1× | batch-egg-rewrite |
| 1346× | associate-*l/ |
| 766× | *-commutative |
| 688× | distribute-lft-in |
| 650× | distribute-rgt-in |
| 492× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 1 | 210 | 32 |
| 2 | 2897 | 32 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(+.f64 1 (/.f64 1 (+.f64 b 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 b 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 b b -4)) b) (*.f64 (/.f64 1 (fma.f64 b b -4)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (*.f64 b b)) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b -2))) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 1 (fma.f64 b b -4))) (*.f64 -2 (/.f64 1 (fma.f64 b b -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b b) (/.f64 1 (+.f64 8 (pow.f64 b 3)))) (*.f64 (+.f64 4 (*.f64 b -2)) (/.f64 1 (+.f64 8 (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 4 (*.f64 b -2)) (/.f64 1 (+.f64 8 (pow.f64 b 3)))) (*.f64 (*.f64 b b) (/.f64 1 (+.f64 8 (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b -2) (/.f64 1 (fma.f64 b b -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 b (+.f64 b -2))) (/.f64 1 (+.f64 8 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 2 (/.f64 1 (+.f64 b 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 b 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b (+.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1) (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 b 2)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 2 (/.f64 1 (+.f64 b 2))))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1)) (/.f64 1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (fma.f64 b b -4))) (neg.f64 (+.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -8 (neg.f64 (pow.f64 b 3)))) (neg.f64 (+.f64 4 (*.f64 b (+.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 b b))) (-.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (+.f64 8 (pow.f64 b 3)))) (sqrt.f64 (+.f64 4 (*.f64 b (+.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (fma.f64 b b -4))) (sqrt.f64 (+.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2))) (-.f64 0 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 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(+.f64 1 (/.f64 1 (+.f64 b 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))) 1))))) |
| 1× | egg-herbie |
| 954× | associate-+r- |
| 894× | associate-+l- |
| 740× | distribute-lft-in |
| 656× | distribute-rgt-in |
| 578× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 639 | 12918 |
| 1 | 1831 | 12130 |
| 2 | 6929 | 12130 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))) |
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))) |
(/.f64 1 b) |
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4))))) |
(/.f64 1 b) |
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4))))) |
3/2 |
(+.f64 3/2 (*.f64 -1/4 b)) |
(+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))) |
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))) |
1 |
(+.f64 1 (/.f64 1 b)) |
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
1 |
(+.f64 1 (/.f64 1 b)) |
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1) |
(+.f64 0 (/.f64 1 (+.f64 b 2))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 1) |
(+.f64 -1 (+.f64 1 (/.f64 1 (+.f64 b 2)))) |
(+.f64 (*.f64 (/.f64 1 (fma.f64 b b -4)) b) (*.f64 (/.f64 1 (fma.f64 b b -4)) -2)) |
(+.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (*.f64 b b)) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b -2)))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b -2))) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (*.f64 b b))) |
(+.f64 (*.f64 b (/.f64 1 (fma.f64 b b -4))) (*.f64 -2 (/.f64 1 (fma.f64 b b -4)))) |
(+.f64 (*.f64 (*.f64 b b) (/.f64 1 (+.f64 8 (pow.f64 b 3)))) (*.f64 (+.f64 4 (*.f64 b -2)) (/.f64 1 (+.f64 8 (pow.f64 b 3))))) |
(+.f64 (*.f64 (+.f64 4 (*.f64 b -2)) (/.f64 1 (+.f64 8 (pow.f64 b 3)))) (*.f64 (*.f64 b b) (/.f64 1 (+.f64 8 (pow.f64 b 3))))) |
(*.f64 1 (/.f64 1 (+.f64 b 2))) |
(*.f64 (/.f64 1 (+.f64 b 2)) 1) |
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2)))) |
(*.f64 (+.f64 b -2) (/.f64 1 (fma.f64 b b -4))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 b 2))))) |
(*.f64 -1 (/.f64 -1 (+.f64 b 2))) |
(*.f64 (+.f64 4 (*.f64 b (+.f64 b -2))) (/.f64 1 (+.f64 8 (pow.f64 b 3)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 2 (/.f64 1 (+.f64 b 2)))))) |
(*.f64 (/.f64 -1 (+.f64 b 2)) -1) |
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2)) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b (+.f64 b -2)))) |
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1)) |
(*.f64 (-.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1) (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)))) |
(*.f64 (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 b 2)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 2 (/.f64 1 (+.f64 b 2))))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1)) (/.f64 1 (+.f64 b 2))) |
(*.f64 (/.f64 1 (neg.f64 (fma.f64 b b -4))) (neg.f64 (+.f64 b -2))) |
(*.f64 (/.f64 1 (+.f64 -8 (neg.f64 (pow.f64 b 3)))) (neg.f64 (+.f64 4 (*.f64 b (+.f64 b -2))))) |
(*.f64 (/.f64 1 (-.f64 4 (*.f64 b b))) (-.f64 2 b)) |
(*.f64 (/.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (+.f64 8 (pow.f64 b 3)))) (sqrt.f64 (+.f64 4 (*.f64 b (+.f64 b -2))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (fma.f64 b b -4))) (sqrt.f64 (+.f64 b -2))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2))) (-.f64 0 (/.f64 1 (+.f64 b 2)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (pow.f64 (+.f64 b 2) -2))) |
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 b b -4))) (+.f64 b -2)) |
(*.f64 (/.f64 -1 (+.f64 -8 (neg.f64 (pow.f64 b 3)))) (+.f64 4 (*.f64 b (+.f64 b -2)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2)) (*.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) (+.f64 2 (/.f64 1 (+.f64 b 2)))))) (-.f64 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)) 1)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) 3) (pow.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2)) (*.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) (-.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 8 (pow.f64 b 3)))) (cbrt.f64 (+.f64 4 (*.f64 b (+.f64 b -2))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (fma.f64 b b -4))) (cbrt.f64 (+.f64 b -2))) |
(*.f64 (/.f64 (+.f64 4 (*.f64 b (+.f64 b -2))) (-.f64 (*.f64 (pow.f64 b 3) (pow.f64 b 3)) 64)) (-.f64 (pow.f64 b 3) 8)) |
(*.f64 (/.f64 (+.f64 4 (*.f64 b (+.f64 b -2))) (+.f64 512 (pow.f64 (pow.f64 b 3) 3))) (+.f64 (*.f64 (pow.f64 b 3) (pow.f64 b 3)) (-.f64 64 (*.f64 8 (pow.f64 b 3))))) |
(*.f64 (/.f64 (+.f64 b -2) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) 16)) (+.f64 4 (*.f64 b b))) |
(*.f64 (/.f64 (+.f64 b -2) (-.f64 (pow.f64 (*.f64 b b) 3) 64)) (+.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) 16) (*.f64 4 (*.f64 b b)))) |
(/.f64 1 (+.f64 b 2)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)))) |
(/.f64 (/.f64 1 (+.f64 b 2)) 1) |
(/.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (+.f64 b 2))) |
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (pow.f64 (cbrt.f64 (+.f64 b 2)) 2)) |
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (/.f64 (sqrt.f64 (+.f64 b 2)) (cbrt.f64 (pow.f64 (+.f64 b 2) -1/2)))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 b 2))) |
(/.f64 (fma.f64 b b -4) (*.f64 (+.f64 b 2) (fma.f64 b b -4))) |
(/.f64 (+.f64 b -2) (fma.f64 b b -4)) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (+.f64 2 (/.f64 1 (+.f64 b 2)))) |
(/.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) (/.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) (/.f64 1 (+.f64 b 2)))) |
(/.f64 -1 (-.f64 -2 b)) |
(/.f64 (+.f64 4 (*.f64 b (+.f64 b -2))) (+.f64 8 (pow.f64 b 3))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 2 (/.f64 1 (+.f64 b 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 2 (/.f64 1 (+.f64 b 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))))) |
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(/.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (-.f64 -2 b)))) |
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(/.f64 (sqrt.f64 (+.f64 b -2)) (/.f64 (fma.f64 b b -4) (sqrt.f64 (+.f64 b -2)))) |
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(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1)) (pow.f64 (+.f64 b 2) -1/2)) (sqrt.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 2 (/.f64 1 (+.f64 b 2)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1)) (cbrt.f64 (pow.f64 (+.f64 b 2) -2))) (cbrt.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2)) 1) (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 b 2))))) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2))) |
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 2 (/.f64 1 (+.f64 b 2)))))) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) 3) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 2 (/.f64 1 (+.f64 b 2)))))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) 1) (+.f64 2 (/.f64 1 (+.f64 b 2)))) |
(/.f64 (/.f64 (pow.f64 (+.f64 b 2) -1/2) 1) (sqrt.f64 (+.f64 b 2))) |
(/.f64 (/.f64 (pow.f64 (+.f64 b 2) -1/2) (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (sqrt.f64 (+.f64 b 2)))) |
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(/.f64 (/.f64 -1 (sqrt.f64 (-.f64 -2 b))) (sqrt.f64 (-.f64 -2 b))) |
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (-.f64 -2 b)) (cbrt.f64 (-.f64 -2 b)))) (cbrt.f64 (-.f64 -2 b))) |
(/.f64 (/.f64 -1 (neg.f64 (sqrt.f64 (+.f64 b 2)))) (sqrt.f64 (+.f64 b 2))) |
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(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) 1) (cbrt.f64 (+.f64 b 2))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (sqrt.f64 (cbrt.f64 (+.f64 b 2)))) (sqrt.f64 (cbrt.f64 (+.f64 b 2)))) |
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(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 b 2)))) |
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(/.f64 (/.f64 (+.f64 4 (*.f64 b (+.f64 b -2))) 1) (+.f64 8 (pow.f64 b 3))) |
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(/.f64 (/.f64 (+.f64 b -2) (sqrt.f64 (fma.f64 b b -4))) (sqrt.f64 (fma.f64 b b -4))) |
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(pow.f64 (+.f64 b 2) -1) |
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(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) 3) |
(pow.f64 (pow.f64 (+.f64 b 2) -3) 1/3) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 b 2))))) |
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(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 0) |
(-.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) 1) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 -1 (+.f64 b 2)))) (/.f64 (pow.f64 (+.f64 b 2) -2) (+.f64 1 (/.f64 -1 (+.f64 b 2))))) |
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(*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))) (+.f64 1 (pow.f64 (+.f64 b 2) -3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (+.f64 1 (/.f64 1 (+.f64 b 2)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (-.f64 (pow.f64 (+.f64 b 2) -2) 1)) (+.f64 1 (/.f64 1 (+.f64 b 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (-.f64 1 (pow.f64 (+.f64 b 2) -3))) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (pow.f64 (+.f64 b 2) -2))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (-.f64 1 (*.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))) (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) (+.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (+.f64 b 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))) 3))) (+.f64 1 (*.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))) (-.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))) 1)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (-.f64 (pow.f64 (+.f64 b 2) -3) 1)) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (pow.f64 (+.f64 b 2) -2))) |
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 1 (+.f64 b 2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 -1 (+.f64 b 2)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))) 1)) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (/.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (/.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)))) (/.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)))) (/.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (+.f64 (/.f64 1 (+.f64 b 2)) -1)) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -3) (pow.f64 (+.f64 b 2) -3))) (*.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))) (-.f64 1 (pow.f64 (+.f64 b 2) -3)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 b 2))) (*.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))) (+.f64 1 (pow.f64 (+.f64 b 2) -2)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -3) 3)) (*.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))) (+.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -3) (-.f64 (pow.f64 (+.f64 b 2) -3) 1))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -2) 3)) (*.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))) (+.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -2) (+.f64 1 (pow.f64 (+.f64 b 2) -2)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (+.f64 -1 (neg.f64 (/.f64 -1 (+.f64 b 2))))) |
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 b 2) -3))) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) 1) (+.f64 (/.f64 1 (+.f64 b 2)) -1)) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) 1) (+.f64 -1 (neg.f64 (/.f64 -1 (+.f64 b 2))))) |
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 b 2) -3))) 1) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 b 2))) (/.f64 1 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) (+.f64 1 (pow.f64 (+.f64 b 2) -2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -2) 3)) (/.f64 1 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) (+.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -2) (+.f64 1 (pow.f64 (+.f64 b 2) -2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -3) (pow.f64 (+.f64 b 2) -3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) (-.f64 1 (pow.f64 (+.f64 b 2) -3))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -3) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) (+.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -3) (-.f64 (pow.f64 (+.f64 b 2) -3) 1)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) 1) (+.f64 1 (/.f64 -1 (+.f64 b 2)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) 1) (+.f64 (/.f64 1 (+.f64 b 2)) -1)) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))) (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))))) (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) 1) (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (+.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (-.f64 (pow.f64 (+.f64 b 2) -1/2) 1)) |
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))))) |
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 b 2)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))))) |
(fma.f64 1 (/.f64 1 (+.f64 b 2)) 1) |
(fma.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2) 1) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))) 1) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(fma.f64 -1/4 b 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))) |
(+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b))) |
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 b (*.f64 b 1/8))) |
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))) |
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)))) |
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 (fma.f64 -1/4 b 1/2) (*.f64 b (*.f64 b 1/8)))) |
(/.f64 1 b) |
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))) |
(-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))) |
(+.f64 (/.f64 1 b) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 2 b) b))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4))))) |
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))))) |
(+.f64 (/.f64 1 b) (-.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 8 (pow.f64 b 4))))) |
(/.f64 1 b) |
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))) |
(-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))) |
(+.f64 (/.f64 1 b) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 2 b) b))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4))))) |
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))))) |
(+.f64 (/.f64 1 b) (-.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 8 (pow.f64 b 4))))) |
3/2 |
(+.f64 3/2 (*.f64 -1/4 b)) |
(+.f64 (*.f64 -1/4 b) 3/2) |
(fma.f64 -1/4 b 3/2) |
(+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))) |
(+.f64 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)) 3/2) |
(+.f64 (*.f64 b (*.f64 b 1/8)) (fma.f64 -1/4 b 3/2)) |
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))) |
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)) 3/2)) |
(+.f64 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8))) (fma.f64 -1/16 (pow.f64 b 3) 3/2)) |
1 |
(+.f64 1 (/.f64 1 b)) |
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))) |
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3)))) (/.f64 2 (*.f64 b b))) |
(+.f64 (+.f64 1 (/.f64 1 b)) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 2 b) b))) |
1 |
(+.f64 1 (/.f64 1 b)) |
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))) |
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3)))) (/.f64 2 (*.f64 b b))) |
(+.f64 (+.f64 1 (/.f64 1 b)) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 2 b) b))) |
(+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1)) |
(/.f64 1 (+.f64 b 2)) |
(+.f64 (/.f64 1 (+.f64 b 2)) 0) |
(/.f64 1 (+.f64 b 2)) |
(+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1) |
(/.f64 1 (+.f64 b 2)) |
(+.f64 0 (/.f64 1 (+.f64 b 2))) |
(/.f64 1 (+.f64 b 2)) |
(+.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 1) |
(/.f64 1 (+.f64 b 2)) |
(+.f64 -1 (+.f64 1 (/.f64 1 (+.f64 b 2)))) |
(/.f64 1 (+.f64 b 2)) |
(+.f64 (*.f64 (/.f64 1 (fma.f64 b b -4)) b) (*.f64 (/.f64 1 (fma.f64 b b -4)) -2)) |
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2)) |
(/.f64 (+.f64 b -2) (fma.f64 b b -4)) |
(+.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (*.f64 b b)) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b -2)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (+.f64 (+.f64 4 (*.f64 b -2)) (*.f64 b b))) |
(/.f64 (fma.f64 b (+.f64 b -2) 4) (+.f64 (pow.f64 b 3) 8)) |
(+.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b -2))) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (*.f64 b b))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (+.f64 (+.f64 4 (*.f64 b -2)) (*.f64 b b))) |
(/.f64 (fma.f64 b (+.f64 b -2) 4) (+.f64 (pow.f64 b 3) 8)) |
(+.f64 (*.f64 b (/.f64 1 (fma.f64 b b -4))) (*.f64 -2 (/.f64 1 (fma.f64 b b -4)))) |
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2)) |
(/.f64 (+.f64 b -2) (fma.f64 b b -4)) |
(+.f64 (*.f64 (*.f64 b b) (/.f64 1 (+.f64 8 (pow.f64 b 3)))) (*.f64 (+.f64 4 (*.f64 b -2)) (/.f64 1 (+.f64 8 (pow.f64 b 3))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (+.f64 (+.f64 4 (*.f64 b -2)) (*.f64 b b))) |
(/.f64 (fma.f64 b (+.f64 b -2) 4) (+.f64 (pow.f64 b 3) 8)) |
(+.f64 (*.f64 (+.f64 4 (*.f64 b -2)) (/.f64 1 (+.f64 8 (pow.f64 b 3)))) (*.f64 (*.f64 b b) (/.f64 1 (+.f64 8 (pow.f64 b 3))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (+.f64 (+.f64 4 (*.f64 b -2)) (*.f64 b b))) |
(/.f64 (fma.f64 b (+.f64 b -2) 4) (+.f64 (pow.f64 b 3) 8)) |
(*.f64 1 (/.f64 1 (+.f64 b 2))) |
(/.f64 1 (+.f64 b 2)) |
(*.f64 (/.f64 1 (+.f64 b 2)) 1) |
(/.f64 1 (+.f64 b 2)) |
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2)) |
(/.f64 1 (+.f64 b 2)) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 b 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2)))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 b 2))) |
(*.f64 (+.f64 b -2) (/.f64 1 (fma.f64 b b -4))) |
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2)) |
(/.f64 (+.f64 b -2) (fma.f64 b b -4)) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 b 2))))) |
(/.f64 1 (+.f64 b 2)) |
(*.f64 -1 (/.f64 -1 (+.f64 b 2))) |
(/.f64 1 (+.f64 b 2)) |
(*.f64 (+.f64 4 (*.f64 b (+.f64 b -2))) (/.f64 1 (+.f64 8 (pow.f64 b 3)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (+.f64 (+.f64 4 (*.f64 b -2)) (*.f64 b b))) |
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(/.f64 (/.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 b 2)))) |
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(/.f64 (/.f64 (pow.f64 (+.f64 b 2) -1/2) (fabs.f64 (cbrt.f64 (+.f64 b 2)))) (sqrt.f64 (cbrt.f64 (+.f64 b 2)))) |
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(/.f64 1 (+.f64 b 2)) |
(/.f64 (/.f64 -1 (sqrt.f64 (+.f64 b 2))) (neg.f64 (sqrt.f64 (+.f64 b 2)))) |
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(/.f64 1 (+.f64 b 2)) |
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(/.f64 (-.f64 -1 (pow.f64 (+.f64 b 2) -3)) (+.f64 (-.f64 -1 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (+.f64 b 2)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (/.f64 (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2)))) (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)))) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -3/2)) (sqrt.f64 (+.f64 (/.f64 -1 (+.f64 b 2)) (+.f64 1 (pow.f64 (+.f64 b 2) -2))))) (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) |
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)))) (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) |
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (/.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 b 2)) (+.f64 1 (pow.f64 (+.f64 b 2) -2))))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 -1 (+.f64 b 2)))) 2)) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) |
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 -1 (+.f64 b 2)))) 2)) |
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 b 2))) (/.f64 1 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) (+.f64 1 (pow.f64 (+.f64 b 2) -2))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 b 2))) (*.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))) (+.f64 1 (pow.f64 (+.f64 b 2) -2)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -2) 3)) (/.f64 1 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) (+.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -2) (+.f64 1 (pow.f64 (+.f64 b 2) -2))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -2) 3)) (*.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))) (+.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -2) (+.f64 1 (pow.f64 (+.f64 b 2) -2)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -2) 3)) (*.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (pow.f64 (+.f64 b 2) -4))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -3) (pow.f64 (+.f64 b 2) -3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) (-.f64 1 (pow.f64 (+.f64 b 2) -3))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -6)) (*.f64 (+.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2))) (-.f64 1 (pow.f64 (+.f64 b 2) -3)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -6)) (-.f64 1 (pow.f64 (+.f64 b 2) -3))) (+.f64 (/.f64 -1 (+.f64 b 2)) (+.f64 1 (pow.f64 (+.f64 b 2) -2)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -3) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) (+.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -3) (-.f64 (pow.f64 (+.f64 b 2) -3) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -3) 3)) (*.f64 (+.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2))) (+.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 (pow.f64 (+.f64 b 2) -3) -1))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -3) 3)) (+.f64 (/.f64 -1 (+.f64 b 2)) (+.f64 1 (pow.f64 (+.f64 b 2) -2)))) (fma.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 -1 (pow.f64 (+.f64 b 2) -3)) 1)) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) 1) (+.f64 1 (/.f64 -1 (+.f64 b 2)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 -1 (+.f64 b 2)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) 1) (+.f64 (/.f64 1 (+.f64 b 2)) -1)) |
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -1)) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -2)) (+.f64 (/.f64 1 (+.f64 b 2)) -1)) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 -1 (+.f64 b 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))) (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))))) (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 -1 (+.f64 b 2)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) 1) (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 (/.f64 -1 (+.f64 b 2)) (+.f64 1 (pow.f64 (+.f64 b 2) -2)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 (/.f64 -1 (+.f64 b 2)) (+.f64 1 (pow.f64 (+.f64 b 2) -2)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2))))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 (/.f64 -1 (+.f64 b 2)) (+.f64 1 (pow.f64 (+.f64 b 2) -2)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1))) |
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -1)) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -2)) (+.f64 (/.f64 1 (+.f64 b 2)) -1)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1))) |
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -1)) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -2)) (+.f64 (/.f64 1 (+.f64 b 2)) -1)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (+.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (-.f64 (pow.f64 (+.f64 b 2) -1/2) 1)) |
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -1)) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -2)) (+.f64 (/.f64 1 (+.f64 b 2)) -1)) |
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(+.f64 1 (/.f64 1 (+.f64 b 2))) |
(-.f64 1 (/.f64 -1 (+.f64 b 2))) |
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 3) |
(+.f64 1 (/.f64 1 (+.f64 b 2))) |
(-.f64 1 (/.f64 -1 (+.f64 b 2))) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) 1/3) |
(+.f64 1 (/.f64 1 (+.f64 b 2))) |
(-.f64 1 (/.f64 -1 (+.f64 b 2))) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2)) |
(fabs.f64 (-.f64 1 (/.f64 -1 (+.f64 b 2)))) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))))) |
(+.f64 1 (/.f64 1 (+.f64 b 2))) |
(-.f64 1 (/.f64 -1 (+.f64 b 2))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))) |
(+.f64 1 (/.f64 1 (+.f64 b 2))) |
(-.f64 1 (/.f64 -1 (+.f64 b 2))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) |
(+.f64 1 (/.f64 1 (+.f64 b 2))) |
(-.f64 1 (/.f64 -1 (+.f64 b 2))) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))))) |
(expm1.f64 (log.f64 (-.f64 2 (/.f64 -1 (+.f64 b 2))))) |
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 b 2)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))))) |
(+.f64 1 (/.f64 1 (+.f64 b 2))) |
(-.f64 1 (/.f64 -1 (+.f64 b 2))) |
(fma.f64 1 (/.f64 1 (+.f64 b 2)) 1) |
(+.f64 1 (/.f64 1 (+.f64 b 2))) |
(-.f64 1 (/.f64 -1 (+.f64 b 2))) |
(fma.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2) 1) |
(+.f64 1 (/.f64 1 (+.f64 b 2))) |
(-.f64 1 (/.f64 -1 (+.f64 b 2))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))) 1) |
(+.f64 1 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 b 2)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 a (*.f64 -1/2 (*.f64 a a))) |
| ✓ | 0.2b | (/.f64 -1 (+.f64 (+.f64 a (*.f64 -1/2 (*.f64 a a))) -2)) |
Compiled 41 to 23 computations (43.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | inf | (/.f64 -1 (+.f64 (+.f64 a (*.f64 -1/2 (*.f64 a a))) -2)) |
| 0.0ms | a | @ | inf | (+.f64 a (*.f64 -1/2 (*.f64 a a))) |
| 0.0ms | a | @ | 0 | (/.f64 -1 (+.f64 (+.f64 a (*.f64 -1/2 (*.f64 a a))) -2)) |
| 0.0ms | a | @ | -inf | (/.f64 -1 (+.f64 (+.f64 a (*.f64 -1/2 (*.f64 a a))) -2)) |
| 0.0ms | a | @ | 0 | (+.f64 a (*.f64 -1/2 (*.f64 a a))) |
| 1× | batch-egg-rewrite |
| 1252× | associate-*r/ |
| 1066× | *-commutative |
| 914× | associate-*l/ |
| 820× | distribute-lft-in |
| 490× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 50 |
| 1 | 250 | 42 |
| 2 | 3298 | 42 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (+.f64 (+.f64 a (*.f64 -1/2 (*.f64 a a))) -2)) |
(+.f64 a (*.f64 -1/2 (*.f64 a a))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) a) (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) (-.f64 (*.f64 a (*.f64 a -1/2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) (*.f64 a (*.f64 a -1/2))) (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) (-.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) (fma.f64 -1/2 (*.f64 a a) a)) (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))) (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2)) (*.f64 (/.f64 -1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2))) (*.f64 (/.f64 -1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))) (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a)))) (/.f64 1 (sqrt.f64 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 a 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(sqrt.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) (sqrt.f64 (fma.f64 -1/2 (*.f64 a a) a))) (sqrt.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4)))) (sqrt.f64 (fma.f64 -1/2 (*.f64 a a) a))) (sqrt.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) 2)) (cbrt.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) 2)) (cbrt.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a 4) (*.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4)))) (/.f64 (/.f64 1 a) (-.f64 1 (*.f64 a -1/2)))) (+.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (*.f64 1/4 (pow.f64 a 4)) 3)) (/.f64 (/.f64 1 a) (-.f64 1 (*.f64 a -1/2)))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (*.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a a) 3) (*.f64 (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) (/.f64 1 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) (-.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)) 3)) (/.f64 1 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) (-.f64 (+.f64 (pow.f64 (*.f64 a a) 3) (*.f64 (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) (*.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) a) (-.f64 1 (*.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) 1) (+.f64 a (*.f64 (*.f64 a a) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) (sqrt.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2)))) (sqrt.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) (*.f64 (cbrt.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2))) (cbrt.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2))))) (cbrt.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) (+.f64 (*.f64 a (sqrt.f64 -1/2)) (sqrt.f64 a))) (-.f64 (sqrt.f64 a) (*.f64 a (sqrt.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))) 1) (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))) (sqrt.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) (sqrt.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3))))) (cbrt.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3))))))) (cbrt.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 a a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 a a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 a a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 a a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 a a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 a a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) -1/2 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (*.f64 a (*.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (*.f64 a -1/2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 -1/2)) (*.f64 a (sqrt.f64 -1/2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 a (*.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 a 4))) (cbrt.f64 (*.f64 a (*.f64 a -1/2))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 a (*.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a -1/2) a a))))) |
| 1× | egg-herbie |
| 766× | associate-/r/ |
| 728× | associate-/l/ |
| 688× | +-commutative |
| 648× | distribute-lft-neg-in |
| 468× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 398 | 7922 |
| 1 | 1159 | 7166 |
| 2 | 4684 | 6980 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (+.f64 (*.f64 -1/16 (pow.f64 a 3)) (*.f64 1/4 a))) |
(+.f64 1/2 (+.f64 (*.f64 -1/32 (pow.f64 a 4)) (+.f64 (*.f64 -1/16 (pow.f64 a 3)) (*.f64 1/4 a)))) |
(/.f64 2 (pow.f64 a 2)) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (*.f64 2 (/.f64 1 (pow.f64 a 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (*.f64 4 (/.f64 1 (pow.f64 a 3)))) (*.f64 16 (/.f64 1 (pow.f64 a 5)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (*.f64 4 (/.f64 1 (pow.f64 a 3)))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 a 5))) (*.f64 32 (/.f64 1 (pow.f64 a 6))))) |
(/.f64 2 (pow.f64 a 2)) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (*.f64 2 (/.f64 1 (pow.f64 a 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (*.f64 4 (/.f64 1 (pow.f64 a 3)))) (*.f64 16 (/.f64 1 (pow.f64 a 5)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (*.f64 4 (/.f64 1 (pow.f64 a 3)))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 a 5))) (*.f64 32 (/.f64 1 (pow.f64 a 6))))) |
a |
(+.f64 (*.f64 -1/2 (pow.f64 a 2)) a) |
(+.f64 (*.f64 -1/2 (pow.f64 a 2)) a) |
(+.f64 (*.f64 -1/2 (pow.f64 a 2)) a) |
(*.f64 -1/2 (pow.f64 a 2)) |
(+.f64 a (*.f64 -1/2 (pow.f64 a 2))) |
(+.f64 a (*.f64 -1/2 (pow.f64 a 2))) |
(+.f64 a (*.f64 -1/2 (pow.f64 a 2))) |
(*.f64 -1/2 (pow.f64 a 2)) |
(+.f64 a (*.f64 -1/2 (pow.f64 a 2))) |
(+.f64 a (*.f64 -1/2 (pow.f64 a 2))) |
(+.f64 a (*.f64 -1/2 (pow.f64 a 2))) |
(+.f64 (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) a) (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) (-.f64 (*.f64 a (*.f64 a -1/2)) -2))) |
(+.f64 (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) (*.f64 a (*.f64 a -1/2))) (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) (-.f64 a -2))) |
(+.f64 (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) (fma.f64 -1/2 (*.f64 a a) a)) (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) 2)) |
(+.f64 (*.f64 (/.f64 -1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))) (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2)) (*.f64 (/.f64 -1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2)))) |
(+.f64 (*.f64 (/.f64 -1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2))) (*.f64 (/.f64 -1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))) (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) 1) |
(*.f64 -1 (/.f64 -1 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a)))) |
(*.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 1) |
(*.f64 1 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a)))) (/.f64 1 (sqrt.f64 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a))))) |
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) 2)) |
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) 2) (/.f64 -1 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) |
(*.f64 (+.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4))) |
(*.f64 (/.f64 -1 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a))) -1) |
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2))) (/.f64 -1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) (/.f64 -1 (sqrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) (+.f64 (*.f64 -1 (fma.f64 -1/2 (*.f64 a a) a)) -2)) |
(*.f64 (/.f64 1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))) (*.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2))))) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) (+.f64 (fma.f64 -1/2 (*.f64 a a) a) 2)) |
(*.f64 (/.f64 -1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2)))) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4))) (neg.f64 (+.f64 (fma.f64 -1/2 (*.f64 a a) a) 2))) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2))))) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4))) (+.f64 (fma.f64 -1/2 (*.f64 a a) a) 2)) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3)))) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2)))) |
(*.f64 (/.f64 -1 (-.f64 (*.f64 a a) (*.f64 (fma.f64 -1/2 (*.f64 a a) -2) (fma.f64 -1/2 (*.f64 a a) -2)))) (-.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) |
(*.f64 (/.f64 -1 (-.f64 4 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2))) (-.f64 -2 (fma.f64 -1/2 (*.f64 a a) a))) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 a 3) (pow.f64 (fma.f64 -1/2 (*.f64 a a) -2) 3))) (-.f64 (+.f64 (*.f64 a a) (*.f64 (fma.f64 -1/2 (*.f64 a a) -2) (fma.f64 -1/2 (*.f64 a a) -2))) (*.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) |
(*.f64 (/.f64 (/.f64 -1 (sqrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) (sqrt.f64 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2))))) |
(*.f64 (/.f64 (/.f64 -1 (sqrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4))) (sqrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 a a) a) 2))) |
(*.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 2)) (cbrt.f64 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2))))) |
(*.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4))) (cbrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 a a) a) 2))) |
(pow.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 1) |
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a)))) 2) |
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) 3) |
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 3) 1/3) |
(pow.f64 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a)) -1) |
(neg.f64 (/.f64 -1 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a)))) |
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)) 2))) |
(log.f64 (exp.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))))) |
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a))))) |
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 a a) a))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 a -1/2)))) (-.f64 1 a)) |
(-.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (*.f64 a (*.f64 a -1/2)))) |
(-.f64 (/.f64 (/.f64 (*.f64 a a) a) (-.f64 1 (*.f64 a -1/2))) (/.f64 (*.f64 1/4 (pow.f64 a 4)) (+.f64 a (*.f64 (*.f64 a a) 1/2)))) |
(-.f64 (+.f64 a (exp.f64 (log1p.f64 (*.f64 a (*.f64 a -1/2))))) 1) |
(-.f64 (+.f64 (*.f64 a (*.f64 a -1/2)) (exp.f64 (log1p.f64 a))) 1) |
(*.f64 a (+.f64 1 (*.f64 a -1/2))) |
(*.f64 (fma.f64 -1/2 (*.f64 a a) a) 1) |
(*.f64 1 (fma.f64 -1/2 (*.f64 a a) a)) |
(*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) (sqrt.f64 (fma.f64 -1/2 (*.f64 a a) a))) |
(*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a))) |
(*.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) (/.f64 (/.f64 1 a) (-.f64 1 (*.f64 a -1/2)))) |
(*.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))) (/.f64 1 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) |
(*.f64 (+.f64 1 (*.f64 a -1/2)) a) |
(*.f64 (/.f64 (/.f64 1 a) (-.f64 1 (*.f64 a -1/2))) (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4)))) |
(*.f64 (/.f64 1 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3))))) (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) |
(*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4)))) (fma.f64 -1/2 (*.f64 a a) a)) |
(*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) (-.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) (+.f64 (+.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) (*.f64 -1/2 (pow.f64 a 3)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))) (-.f64 (pow.f64 a 4) (*.f64 (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3))) (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) (+.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) (*.f64 -1/2 (pow.f64 a 3)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))) (+.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3))) 3))) (+.f64 (pow.f64 a 4) (-.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3))) (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))) (*.f64 (*.f64 a a) (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3))))))) |
(/.f64 (fma.f64 -1/2 (*.f64 a a) a) (/.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2)) (+.f64 a (*.f64 (*.f64 a a) 1/2)))) |
(/.f64 1 (/.f64 1 (fma.f64 -1/2 (*.f64 a a) a))) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) (+.f64 a (*.f64 (*.f64 a a) 1/2))) |
(/.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))) (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3))))) |
(/.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))) (/.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))) (fma.f64 -1/2 (*.f64 a a) a))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) (/.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))) (sqrt.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4)))) (/.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2)) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) (cbrt.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))))) (/.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))) (cbrt.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))))) (/.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2)) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a a) 3) (*.f64 (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) (*.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))) (-.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))))) |
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a -1/2)) a)) |
(/.f64 (-.f64 (pow.f64 a 4) (*.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4)))) (*.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2)) (+.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)) 3)) (*.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))) (-.f64 (+.f64 (pow.f64 (*.f64 a a) 3) (*.f64 (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) (*.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (*.f64 1/4 (pow.f64 a 4)) 3)) (*.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2)) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (*.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4)))) (neg.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) (neg.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 a a))) (-.f64 (*.f64 a (*.f64 a -1/2)) a)) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))))) (neg.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2)))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))))) (neg.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) (sqrt.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))))) (sqrt.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))))) (sqrt.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) 2) (cbrt.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))))) (cbrt.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) 2) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))))) (cbrt.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 a a)) 1) (-.f64 (*.f64 a (*.f64 a -1/2)) a)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4)))) 1) (neg.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) 1) (neg.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) (sqrt.f64 (fma.f64 -1/2 (*.f64 a a) a))) (sqrt.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4)))) (sqrt.f64 (fma.f64 -1/2 (*.f64 a a) a))) (sqrt.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) 2)) (cbrt.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) 2)) (cbrt.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a 4) (*.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4)))) (/.f64 (/.f64 1 a) (-.f64 1 (*.f64 a -1/2)))) (+.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (*.f64 1/4 (pow.f64 a 4)) 3)) (/.f64 (/.f64 1 a) (-.f64 1 (*.f64 a -1/2)))) (+.f64 (pow.f64 a 4) (+.f64 (*.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (*.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a a) 3) (*.f64 (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) (/.f64 1 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) (-.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)) 3)) (/.f64 1 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) (-.f64 (+.f64 (pow.f64 (*.f64 a a) 3) (*.f64 (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) (*.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) a) (-.f64 1 (*.f64 a -1/2))) |
(/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) 1) (+.f64 a (*.f64 (*.f64 a a) 1/2))) |
(/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) (sqrt.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2)))) (sqrt.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2)))) |
(/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) (*.f64 (cbrt.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2))) (cbrt.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2))))) (cbrt.f64 (+.f64 a (*.f64 (*.f64 a a) 1/2)))) |
(/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) (+.f64 (*.f64 a (sqrt.f64 -1/2)) (sqrt.f64 a))) (-.f64 (sqrt.f64 a) (*.f64 a (sqrt.f64 -1/2)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))) 1) (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))) (sqrt.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) (sqrt.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3))))) (cbrt.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3))))))) (cbrt.f64 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) |
(pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) 3) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2)) |
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 a a) a))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 a a) a)))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 a a) a))) |
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 a a) a))) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 a a) a))) |
(fma.f64 -1/2 (*.f64 a a) a) |
(fma.f64 (*.f64 a a) -1/2 a) |
(fma.f64 1 a (*.f64 a (*.f64 a -1/2))) |
(fma.f64 1 (*.f64 a (*.f64 a -1/2)) a) |
(fma.f64 (*.f64 a (sqrt.f64 -1/2)) (*.f64 a (sqrt.f64 -1/2)) a) |
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 a (*.f64 a -1/2))) |
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 a 4))) (cbrt.f64 (*.f64 a (*.f64 a -1/2))) a) |
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 a (*.f64 a -1/2))) |
(fma.f64 (*.f64 a -1/2) a a) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(fma.f64 1/4 a 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/16 (pow.f64 a 3)) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 -1/16 (pow.f64 a 3) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/16 (pow.f64 a 3)))) |
(+.f64 (fma.f64 1/4 a 1/2) (*.f64 -1/16 (pow.f64 a 3))) |
(+.f64 1/2 (+.f64 (*.f64 -1/32 (pow.f64 a 4)) (+.f64 (*.f64 -1/16 (pow.f64 a 3)) (*.f64 1/4 a)))) |
(+.f64 1/2 (fma.f64 -1/32 (pow.f64 a 4) (fma.f64 -1/16 (pow.f64 a 3) (*.f64 1/4 a)))) |
(+.f64 1/2 (fma.f64 -1/32 (pow.f64 a 4) (fma.f64 1/4 a (*.f64 -1/16 (pow.f64 a 3))))) |
(+.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/32 (pow.f64 a 4) (*.f64 -1/16 (pow.f64 a 3)))) |
(/.f64 2 (pow.f64 a 2)) |
(/.f64 2 (*.f64 a a)) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (*.f64 2 (/.f64 1 (pow.f64 a 2)))) |
(+.f64 (/.f64 4 (pow.f64 a 3)) (/.f64 2 (*.f64 a a))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (*.f64 4 (/.f64 1 (pow.f64 a 3)))) (*.f64 16 (/.f64 1 (pow.f64 a 5)))) |
(+.f64 (/.f64 2 (*.f64 a a)) (-.f64 (/.f64 4 (pow.f64 a 3)) (/.f64 16 (pow.f64 a 5)))) |
(+.f64 (/.f64 4 (pow.f64 a 3)) (+.f64 (/.f64 2 (*.f64 a a)) (/.f64 -16 (pow.f64 a 5)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (*.f64 4 (/.f64 1 (pow.f64 a 3)))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 a 5))) (*.f64 32 (/.f64 1 (pow.f64 a 6))))) |
(-.f64 (+.f64 (/.f64 4 (pow.f64 a 3)) (/.f64 2 (*.f64 a a))) (+.f64 (/.f64 16 (pow.f64 a 5)) (/.f64 32 (pow.f64 a 6)))) |
(+.f64 (/.f64 4 (pow.f64 a 3)) (-.f64 (/.f64 2 (*.f64 a a)) (+.f64 (/.f64 16 (pow.f64 a 5)) (/.f64 32 (pow.f64 a 6))))) |
(+.f64 (/.f64 4 (pow.f64 a 3)) (-.f64 (-.f64 (/.f64 2 (*.f64 a a)) (/.f64 16 (pow.f64 a 5))) (/.f64 32 (pow.f64 a 6)))) |
(/.f64 2 (pow.f64 a 2)) |
(/.f64 2 (*.f64 a a)) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 a 3))) (*.f64 2 (/.f64 1 (pow.f64 a 2)))) |
(+.f64 (/.f64 4 (pow.f64 a 3)) (/.f64 2 (*.f64 a a))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (*.f64 4 (/.f64 1 (pow.f64 a 3)))) (*.f64 16 (/.f64 1 (pow.f64 a 5)))) |
(+.f64 (/.f64 2 (*.f64 a a)) (-.f64 (/.f64 4 (pow.f64 a 3)) (/.f64 16 (pow.f64 a 5)))) |
(+.f64 (/.f64 4 (pow.f64 a 3)) (+.f64 (/.f64 2 (*.f64 a a)) (/.f64 -16 (pow.f64 a 5)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 a 2))) (*.f64 4 (/.f64 1 (pow.f64 a 3)))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 a 5))) (*.f64 32 (/.f64 1 (pow.f64 a 6))))) |
(-.f64 (+.f64 (/.f64 4 (pow.f64 a 3)) (/.f64 2 (*.f64 a a))) (+.f64 (/.f64 16 (pow.f64 a 5)) (/.f64 32 (pow.f64 a 6)))) |
(+.f64 (/.f64 4 (pow.f64 a 3)) (-.f64 (/.f64 2 (*.f64 a a)) (+.f64 (/.f64 16 (pow.f64 a 5)) (/.f64 32 (pow.f64 a 6))))) |
(+.f64 (/.f64 4 (pow.f64 a 3)) (-.f64 (-.f64 (/.f64 2 (*.f64 a a)) (/.f64 16 (pow.f64 a 5))) (/.f64 32 (pow.f64 a 6)))) |
a |
(+.f64 (*.f64 -1/2 (pow.f64 a 2)) a) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(+.f64 (*.f64 -1/2 (pow.f64 a 2)) a) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(+.f64 (*.f64 -1/2 (pow.f64 a 2)) a) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(*.f64 -1/2 (pow.f64 a 2)) |
(*.f64 a (*.f64 a -1/2)) |
(+.f64 a (*.f64 -1/2 (pow.f64 a 2))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(+.f64 a (*.f64 -1/2 (pow.f64 a 2))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(+.f64 a (*.f64 -1/2 (pow.f64 a 2))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(*.f64 -1/2 (pow.f64 a 2)) |
(*.f64 a (*.f64 a -1/2)) |
(+.f64 a (*.f64 -1/2 (pow.f64 a 2))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(+.f64 a (*.f64 -1/2 (pow.f64 a 2))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(+.f64 a (*.f64 -1/2 (pow.f64 a 2))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(+.f64 (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) a) (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) (-.f64 (*.f64 a (*.f64 a -1/2)) -2))) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) -4)) (+.f64 a (fma.f64 a (*.f64 a -1/2) 2))) |
(/.f64 (fma.f64 a (*.f64 a -1/2) (+.f64 a 2)) (-.f64 4 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))) |
(/.f64 (-.f64 -2 (*.f64 a (fma.f64 a -1/2 1))) (+.f64 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2) -4)) |
(+.f64 (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) (*.f64 a (*.f64 a -1/2))) (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) (-.f64 a -2))) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) -4)) (+.f64 a (fma.f64 a (*.f64 a -1/2) 2))) |
(/.f64 (fma.f64 a (*.f64 a -1/2) (+.f64 a 2)) (-.f64 4 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))) |
(/.f64 (-.f64 -2 (*.f64 a (fma.f64 a -1/2 1))) (+.f64 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2) -4)) |
(+.f64 (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) (fma.f64 -1/2 (*.f64 a a) a)) (*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) 2)) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) -4)) (+.f64 a (fma.f64 a (*.f64 a -1/2) 2))) |
(/.f64 (fma.f64 a (*.f64 a -1/2) (+.f64 a 2)) (-.f64 4 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))) |
(/.f64 (-.f64 -2 (*.f64 a (fma.f64 a -1/2 1))) (+.f64 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2) -4)) |
(+.f64 (*.f64 (/.f64 -1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))) (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2)) (*.f64 (/.f64 -1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) (-.f64 4 (*.f64 (fma.f64 (*.f64 a -1/2) a a) -2)))) (+.f64 -8 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 3))) |
(/.f64 (+.f64 4 (+.f64 (*.f64 2 (*.f64 a (fma.f64 a -1/2 1))) (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))) (-.f64 8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))) |
(/.f64 (+.f64 4 (*.f64 (*.f64 a (fma.f64 a -1/2 1)) (+.f64 2 (*.f64 a (fma.f64 a -1/2 1))))) (-.f64 8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))) |
(+.f64 (*.f64 (/.f64 -1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2))) (*.f64 (/.f64 -1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))) (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) (-.f64 4 (*.f64 (fma.f64 (*.f64 a -1/2) a a) -2)))) (+.f64 -8 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 3))) |
(/.f64 (+.f64 4 (+.f64 (*.f64 2 (*.f64 a (fma.f64 a -1/2 1))) (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))) (-.f64 8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))) |
(/.f64 (+.f64 4 (*.f64 (*.f64 a (fma.f64 a -1/2 1)) (+.f64 2 (*.f64 a (fma.f64 a -1/2 1))))) (-.f64 8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) 1) |
(/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) |
(/.f64 -1 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2))) |
(/.f64 -1 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) |
(*.f64 -1 (/.f64 -1 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a)))) |
(/.f64 1 (-.f64 2 (fma.f64 (*.f64 a -1/2) a a))) |
(/.f64 1 (-.f64 2 (*.f64 a (fma.f64 a -1/2 1)))) |
(*.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 1) |
(/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) |
(/.f64 -1 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2))) |
(/.f64 -1 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) |
(*.f64 1 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) |
(/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) |
(/.f64 -1 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2))) |
(/.f64 -1 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a)))) (/.f64 1 (sqrt.f64 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a))))) |
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (fma.f64 (*.f64 a -1/2) a a)))) 2) |
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 a (fma.f64 a -1/2 1))))) 2) |
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) 2)) |
(/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) |
(/.f64 -1 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2))) |
(/.f64 -1 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) |
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) 2) (/.f64 -1 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) |
(/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) |
(/.f64 -1 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2))) |
(/.f64 -1 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) |
(*.f64 (+.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4))) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) -4)) (+.f64 a (fma.f64 a (*.f64 a -1/2) 2))) |
(/.f64 (fma.f64 a (*.f64 a -1/2) (+.f64 a 2)) (-.f64 4 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))) |
(/.f64 (-.f64 -2 (*.f64 a (fma.f64 a -1/2 1))) (+.f64 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2) -4)) |
(*.f64 (/.f64 -1 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a))) -1) |
(/.f64 1 (-.f64 2 (fma.f64 (*.f64 a -1/2) a a))) |
(/.f64 1 (-.f64 2 (*.f64 a (fma.f64 a -1/2 1)))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2))) (/.f64 -1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) (-.f64 4 (*.f64 (fma.f64 (*.f64 a -1/2) a a) -2)))) (+.f64 -8 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 3))) |
(/.f64 (+.f64 4 (+.f64 (*.f64 2 (*.f64 a (fma.f64 a -1/2 1))) (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))) (-.f64 8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))) |
(/.f64 (+.f64 4 (*.f64 (*.f64 a (fma.f64 a -1/2 1)) (+.f64 2 (*.f64 a (fma.f64 a -1/2 1))))) (-.f64 8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) (/.f64 -1 (sqrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) |
(/.f64 (/.f64 -1 (sqrt.f64 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2)))) (sqrt.f64 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2)))) |
(/.f64 (/.f64 -1 (sqrt.f64 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2))) (sqrt.f64 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) |
(/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) |
(/.f64 -1 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2))) |
(/.f64 -1 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) (+.f64 (*.f64 -1 (fma.f64 -1/2 (*.f64 a a) a)) -2)) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) -4)) (+.f64 a (fma.f64 a (*.f64 a -1/2) 2))) |
(/.f64 (fma.f64 a (*.f64 a -1/2) (+.f64 a 2)) (-.f64 4 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))) |
(/.f64 (-.f64 -2 (*.f64 a (fma.f64 a -1/2 1))) (+.f64 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2) -4)) |
(*.f64 (/.f64 1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))) (*.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) (-.f64 4 (*.f64 (fma.f64 (*.f64 a -1/2) a a) -2)))) (+.f64 -8 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 3))) |
(/.f64 (+.f64 4 (+.f64 (*.f64 2 (*.f64 a (fma.f64 a -1/2 1))) (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))) (-.f64 8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))) |
(/.f64 (+.f64 4 (*.f64 (*.f64 a (fma.f64 a -1/2 1)) (+.f64 2 (*.f64 a (fma.f64 a -1/2 1))))) (-.f64 8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4)) (+.f64 (fma.f64 -1/2 (*.f64 a a) a) 2)) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) -4)) (+.f64 a (fma.f64 a (*.f64 a -1/2) 2))) |
(/.f64 (fma.f64 a (*.f64 a -1/2) (+.f64 a 2)) (-.f64 4 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))) |
(/.f64 (-.f64 -2 (*.f64 a (fma.f64 a -1/2 1))) (+.f64 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2) -4)) |
(*.f64 (/.f64 -1 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3))) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) (-.f64 4 (*.f64 (fma.f64 (*.f64 a -1/2) a a) -2)))) (+.f64 -8 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 3))) |
(/.f64 (+.f64 4 (+.f64 (*.f64 2 (*.f64 a (fma.f64 a -1/2 1))) (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))) (-.f64 8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))) |
(/.f64 (+.f64 4 (*.f64 (*.f64 a (fma.f64 a -1/2 1)) (+.f64 2 (*.f64 a (fma.f64 a -1/2 1))))) (-.f64 8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4))) (neg.f64 (+.f64 (fma.f64 -1/2 (*.f64 a a) a) 2))) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) -4)) (+.f64 a (fma.f64 a (*.f64 a -1/2) 2))) |
(/.f64 (fma.f64 a (*.f64 a -1/2) (+.f64 a 2)) (-.f64 4 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))) |
(/.f64 (-.f64 -2 (*.f64 a (fma.f64 a -1/2 1))) (+.f64 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2) -4)) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) (-.f64 4 (*.f64 (fma.f64 (*.f64 a -1/2) a a) -2)))) (+.f64 -8 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 3))) |
(/.f64 (+.f64 4 (+.f64 (*.f64 2 (*.f64 a (fma.f64 a -1/2 1))) (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))) (-.f64 8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))) |
(/.f64 (+.f64 4 (*.f64 (*.f64 a (fma.f64 a -1/2 1)) (+.f64 2 (*.f64 a (fma.f64 a -1/2 1))))) (-.f64 8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4))) (+.f64 (fma.f64 -1/2 (*.f64 a a) a) 2)) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) -4)) (+.f64 a (fma.f64 a (*.f64 a -1/2) 2))) |
(/.f64 (fma.f64 a (*.f64 a -1/2) (+.f64 a 2)) (-.f64 4 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))) |
(/.f64 (-.f64 -2 (*.f64 a (fma.f64 a -1/2 1))) (+.f64 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2) -4)) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3)))) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) (-.f64 4 (*.f64 (fma.f64 (*.f64 a -1/2) a a) -2)))) (+.f64 -8 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 3))) |
(/.f64 (+.f64 4 (+.f64 (*.f64 2 (*.f64 a (fma.f64 a -1/2 1))) (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))) (-.f64 8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))) |
(/.f64 (+.f64 4 (*.f64 (*.f64 a (fma.f64 a -1/2 1)) (+.f64 2 (*.f64 a (fma.f64 a -1/2 1))))) (-.f64 8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))) |
(*.f64 (/.f64 -1 (-.f64 (*.f64 a a) (*.f64 (fma.f64 -1/2 (*.f64 a a) -2) (fma.f64 -1/2 (*.f64 a a) -2)))) (-.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) |
(/.f64 (neg.f64 (-.f64 a (fma.f64 a (*.f64 a -1/2) -2))) (-.f64 (*.f64 a a) (*.f64 (fma.f64 a (*.f64 a -1/2) -2) (fma.f64 a (*.f64 a -1/2) -2)))) |
(/.f64 (neg.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) a) 2)) (-.f64 (*.f64 a a) (*.f64 (fma.f64 a (*.f64 a -1/2) -2) (fma.f64 a (*.f64 a -1/2) -2)))) |
(*.f64 (/.f64 -1 (-.f64 4 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2))) (-.f64 -2 (fma.f64 -1/2 (*.f64 a a) a))) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) -4)) (+.f64 a (fma.f64 a (*.f64 a -1/2) 2))) |
(/.f64 (fma.f64 a (*.f64 a -1/2) (+.f64 a 2)) (-.f64 4 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))) |
(/.f64 (-.f64 -2 (*.f64 a (fma.f64 a -1/2 1))) (+.f64 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2) -4)) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 a 3) (pow.f64 (fma.f64 -1/2 (*.f64 a a) -2) 3))) (-.f64 (+.f64 (*.f64 a a) (*.f64 (fma.f64 -1/2 (*.f64 a a) -2) (fma.f64 -1/2 (*.f64 a a) -2))) (*.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) |
(*.f64 (/.f64 -1 (+.f64 (pow.f64 a 3) (pow.f64 (fma.f64 -1/2 (*.f64 a a) -2) 3))) (-.f64 (fma.f64 a a (*.f64 (fma.f64 -1/2 (*.f64 a a) -2) (fma.f64 -1/2 (*.f64 a a) -2))) (*.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) |
(/.f64 (neg.f64 (fma.f64 a a (*.f64 (fma.f64 a (*.f64 a -1/2) -2) (-.f64 (fma.f64 a (*.f64 a -1/2) -2) a)))) (+.f64 (pow.f64 a 3) (pow.f64 (fma.f64 a (*.f64 a -1/2) -2) 3))) |
(*.f64 (/.f64 (/.f64 -1 (sqrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) (sqrt.f64 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2))))) |
(*.f64 (/.f64 -1 (*.f64 (sqrt.f64 (+.f64 -8 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 3))) (sqrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) (-.f64 4 (*.f64 (fma.f64 (*.f64 a -1/2) a a) -2))))) |
(*.f64 (/.f64 (/.f64 -1 (sqrt.f64 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2)))) (sqrt.f64 (+.f64 -8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3)))) (sqrt.f64 (+.f64 4 (+.f64 (*.f64 2 (*.f64 a (fma.f64 a -1/2 1))) (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))))) |
(*.f64 (/.f64 -1 (*.f64 (sqrt.f64 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) (sqrt.f64 (+.f64 -8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))))) (sqrt.f64 (+.f64 4 (*.f64 (*.f64 a (fma.f64 a -1/2 1)) (+.f64 2 (*.f64 a (fma.f64 a -1/2 1))))))) |
(*.f64 (/.f64 (/.f64 -1 (sqrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4))) (sqrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 a a) a) 2))) |
(*.f64 (/.f64 -1 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) -4)) (sqrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) (sqrt.f64 (+.f64 2 (fma.f64 (*.f64 a -1/2) a a)))) |
(*.f64 (/.f64 (/.f64 -1 (sqrt.f64 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2) -4))) (sqrt.f64 (fma.f64 a (*.f64 a -1/2) (+.f64 a 2)))) |
(*.f64 (/.f64 (/.f64 -1 (sqrt.f64 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2) -4))) (sqrt.f64 (+.f64 2 (*.f64 a (fma.f64 a -1/2 1))))) |
(*.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 2)) (cbrt.f64 (+.f64 -8 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) (-.f64 4 (*.f64 (fma.f64 -1/2 (*.f64 a a) a) -2))))) |
(*.f64 (/.f64 -1 (*.f64 (cbrt.f64 (+.f64 -8 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 3))) (pow.f64 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 2))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) (-.f64 4 (*.f64 (fma.f64 (*.f64 a -1/2) a a) -2))))) |
(*.f64 (/.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2))) 2) (cbrt.f64 (+.f64 -8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))))) (cbrt.f64 (+.f64 4 (+.f64 (*.f64 2 (*.f64 a (fma.f64 a -1/2 1))) (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2))))) |
(*.f64 (/.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) 2) (cbrt.f64 (+.f64 -8 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 3))))) (cbrt.f64 (+.f64 4 (*.f64 (*.f64 a (fma.f64 a -1/2 1)) (+.f64 2 (*.f64 a (fma.f64 a -1/2 1))))))) |
(*.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2) -4))) (cbrt.f64 (+.f64 (fma.f64 -1/2 (*.f64 a a) a) 2))) |
(*.f64 (/.f64 -1 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2) -4)) (pow.f64 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 2))) (cbrt.f64 (+.f64 2 (fma.f64 (*.f64 a -1/2) a a)))) |
(*.f64 (/.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2))) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2) -4)))) (cbrt.f64 (fma.f64 a (*.f64 a -1/2) (+.f64 a 2)))) |
(*.f64 (/.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 a (fma.f64 a -1/2 1)) 2) -4)))) (cbrt.f64 (+.f64 2 (*.f64 a (fma.f64 a -1/2 1))))) |
(pow.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 1) |
(/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) |
(/.f64 -1 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2))) |
(/.f64 -1 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) |
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a)))) 2) |
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (fma.f64 (*.f64 a -1/2) a a)))) 2) |
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 a (fma.f64 a -1/2 1))))) 2) |
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))) 3) |
(/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) |
(/.f64 -1 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2))) |
(/.f64 -1 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) |
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 3) 1/3) |
(/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) |
(/.f64 -1 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2))) |
(/.f64 -1 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) |
(pow.f64 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a)) -1) |
(/.f64 1 (-.f64 2 (fma.f64 (*.f64 a -1/2) a a))) |
(/.f64 1 (-.f64 2 (*.f64 a (fma.f64 a -1/2 1)))) |
(neg.f64 (/.f64 -1 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a)))) |
(/.f64 1 (-.f64 2 (fma.f64 (*.f64 a -1/2) a a))) |
(/.f64 1 (-.f64 2 (*.f64 a (fma.f64 a -1/2 1)))) |
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)) 2))) |
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2)) 2))) |
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2) 2))) |
(log.f64 (exp.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) |
(/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) |
(/.f64 -1 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2))) |
(/.f64 -1 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2)))))) |
(/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) |
(/.f64 -1 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2))) |
(/.f64 -1 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) |
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) 3)) |
(/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) |
(/.f64 -1 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2))) |
(/.f64 -1 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) |
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) |
(/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) |
(/.f64 -1 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2))) |
(/.f64 -1 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) |
(exp.f64 (neg.f64 (log.f64 (-.f64 2 (fma.f64 -1/2 (*.f64 a a) a))))) |
(/.f64 1 (-.f64 2 (fma.f64 (*.f64 a -1/2) a a))) |
(/.f64 1 (-.f64 2 (*.f64 a (fma.f64 a -1/2 1)))) |
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))))) |
(/.f64 -1 (+.f64 a (fma.f64 -1/2 (*.f64 a a) -2))) |
(/.f64 -1 (+.f64 a (fma.f64 a (*.f64 a -1/2) -2))) |
(/.f64 -1 (+.f64 (*.f64 a (fma.f64 a -1/2 1)) -2)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 a a) a))) 1) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 a -1/2)))) (-.f64 1 a)) |
(+.f64 a (expm1.f64 (log1p.f64 (*.f64 a (*.f64 a -1/2))))) |
(-.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (*.f64 a (*.f64 a -1/2)))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 a)) 1) (*.f64 a (*.f64 a -1/2))) |
(fma.f64 a (*.f64 a -1/2) (expm1.f64 (log1p.f64 a))) |
(-.f64 (/.f64 (/.f64 (*.f64 a a) a) (-.f64 1 (*.f64 a -1/2))) (/.f64 (*.f64 1/4 (pow.f64 a 4)) (+.f64 a (*.f64 (*.f64 a a) 1/2)))) |
(-.f64 (/.f64 (*.f64 a a) (*.f64 (-.f64 1 (*.f64 a -1/2)) a)) (/.f64 1/4 (/.f64 (+.f64 a (*.f64 1/2 (*.f64 a a))) (pow.f64 a 4)))) |
(-.f64 (/.f64 a (-.f64 1 (*.f64 a -1/2))) (*.f64 (/.f64 1/4 (fma.f64 a (*.f64 1/2 a) a)) (pow.f64 a 4))) |
(/.f64 (fma.f64 a a (*.f64 (pow.f64 a 4) -1/4)) (fma.f64 1/2 (*.f64 a a) a)) |
(-.f64 (+.f64 a (exp.f64 (log1p.f64 (*.f64 a (*.f64 a -1/2))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 a -1/2)))) (-.f64 1 a)) |
(+.f64 a (expm1.f64 (log1p.f64 (*.f64 a (*.f64 a -1/2))))) |
(-.f64 (+.f64 (*.f64 a (*.f64 a -1/2)) (exp.f64 (log1p.f64 a))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 a)) 1) (*.f64 a (*.f64 a -1/2))) |
(fma.f64 a (*.f64 a -1/2) (expm1.f64 (log1p.f64 a))) |
(*.f64 a (+.f64 1 (*.f64 a -1/2))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(*.f64 (fma.f64 -1/2 (*.f64 a a) a) 1) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(*.f64 1 (fma.f64 -1/2 (*.f64 a a) a)) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) (sqrt.f64 (fma.f64 -1/2 (*.f64 a a) a))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) 2)) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(*.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) (/.f64 (/.f64 1 a) (-.f64 1 (*.f64 a -1/2)))) |
(-.f64 (/.f64 (*.f64 a a) (*.f64 (-.f64 1 (*.f64 a -1/2)) a)) (/.f64 1/4 (/.f64 (+.f64 a (*.f64 1/2 (*.f64 a a))) (pow.f64 a 4)))) |
(-.f64 (/.f64 a (-.f64 1 (*.f64 a -1/2))) (*.f64 (/.f64 1/4 (fma.f64 a (*.f64 1/2 a) a)) (pow.f64 a 4))) |
(/.f64 (fma.f64 a a (*.f64 (pow.f64 a 4) -1/4)) (fma.f64 1/2 (*.f64 a a) a)) |
(*.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3))) (/.f64 1 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 a 6))) 1) (fma.f64 a a (+.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 1/2 (pow.f64 a 3))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 a 6) (pow.f64 a 3)) (fma.f64 a a (fma.f64 1/4 (pow.f64 a 4) (*.f64 1/2 (pow.f64 a 3))))) |
(*.f64 (+.f64 1 (*.f64 a -1/2)) a) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(*.f64 (/.f64 (/.f64 1 a) (-.f64 1 (*.f64 a -1/2))) (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4)))) |
(-.f64 (/.f64 (*.f64 a a) (*.f64 (-.f64 1 (*.f64 a -1/2)) a)) (/.f64 1/4 (/.f64 (+.f64 a (*.f64 1/2 (*.f64 a a))) (pow.f64 a 4)))) |
(-.f64 (/.f64 a (-.f64 1 (*.f64 a -1/2))) (*.f64 (/.f64 1/4 (fma.f64 a (*.f64 1/2 a) a)) (pow.f64 a 4))) |
(/.f64 (fma.f64 a a (*.f64 (pow.f64 a 4) -1/4)) (fma.f64 1/2 (*.f64 a a) a)) |
(*.f64 (/.f64 1 (fma.f64 a a (-.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 -1/2 (pow.f64 a 3))))) (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 a 6))) 1) (fma.f64 a a (+.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 1/2 (pow.f64 a 3))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 a 6) (pow.f64 a 3)) (fma.f64 a a (fma.f64 1/4 (pow.f64 a 4) (*.f64 1/2 (pow.f64 a 3))))) |
(*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4)))) (fma.f64 -1/2 (*.f64 a a) a)) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) (-.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 (*.f64 a a) 3)))) (+.f64 (+.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) (*.f64 -1/2 (pow.f64 a 3)))) |
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(/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) a) (-.f64 1 (*.f64 a -1/2))) |
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(/.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 1/4 (pow.f64 a 4))) 1) (+.f64 a (*.f64 (*.f64 a a) 1/2))) |
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(/.f64 (fma.f64 a a (*.f64 (pow.f64 a 4) -1/4)) (fma.f64 1/2 (*.f64 a a) a)) |
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(-.f64 (/.f64 a (-.f64 1 (*.f64 a -1/2))) (*.f64 (/.f64 1/4 (fma.f64 a (*.f64 1/2 a) a)) (pow.f64 a 4))) |
(/.f64 (fma.f64 a a (*.f64 (pow.f64 a 4) -1/4)) (fma.f64 1/2 (*.f64 a a) a)) |
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(/.f64 (fma.f64 -1/8 (pow.f64 a 6) (pow.f64 a 3)) (fma.f64 a a (fma.f64 1/4 (pow.f64 a 4) (*.f64 1/2 (pow.f64 a 3))))) |
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(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (*.f64 -1/8 (pow.f64 a 6))) 1) (fma.f64 a a (+.f64 (*.f64 1/4 (pow.f64 a 4)) (*.f64 1/2 (pow.f64 a 3))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 a 6) (pow.f64 a 3)) (fma.f64 a a (fma.f64 1/4 (pow.f64 a 4) (*.f64 1/2 (pow.f64 a 3))))) |
(pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 1) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) 2) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 a a) a)) 3) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3) 1/3) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 a -1/2) a a) 2)) |
(fabs.f64 (*.f64 a (fma.f64 a -1/2 1))) |
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 a a) a))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 a a) a)))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 a a) a) 3)) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 a a) a))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 a a) a))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 a a) a))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(fma.f64 -1/2 (*.f64 a a) a) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(fma.f64 (*.f64 a a) -1/2 a) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(fma.f64 1 a (*.f64 a (*.f64 a -1/2))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(fma.f64 1 (*.f64 a (*.f64 a -1/2)) a) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(fma.f64 (*.f64 a (sqrt.f64 -1/2)) (*.f64 a (sqrt.f64 -1/2)) a) |
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 a (*.f64 a -1/2))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 a 4))) (cbrt.f64 (*.f64 a (*.f64 a -1/2))) a) |
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 a (*.f64 a -1/2))) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
(fma.f64 (*.f64 a -1/2) a a) |
(*.f64 a (fma.f64 a -1/2 1)) |
Compiled 18620 to 14798 computations (20.5% saved)
14 alts after pruning (7 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 834 | 4 | 838 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 7 | 8 |
| Total | 838 | 14 | 852 |
| Status | Error | Program |
|---|---|---|
| 38.9b | (/.f64 (+.f64 b (-.f64 -2 (*.f64 1/2 (*.f64 b b)))) (-.f64 (*.f64 b b) (*.f64 (+.f64 2 (*.f64 1/2 (*.f64 b b))) (+.f64 2 (*.f64 1/2 (*.f64 b b)))))) | |
| ✓ | 51.8b | (/.f64 2 (*.f64 b b)) |
| 52.3b | (/.f64 2 (*.f64 a a)) | |
| ✓ | 32.1b | (/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))) |
| 51.6b | (/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b)))) | |
| ✓ | 21.7b | (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
| ✓ | 13.3b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| ✓ | 61.6b | (/.f64 1 b) |
| 30.8b | (/.f64 -1 (+.f64 (*.f64 (+.f64 1 (*.f64 a -1/2)) a) -2)) | |
| 31.0b | (/.f64 -1 (+.f64 (*.f64 a (*.f64 a -1/2)) -2)) | |
| 32.0b | (-.f64 1 1) | |
| ✓ | 41.1b | (+.f64 1/2 (*.f64 1/4 a)) |
| ✓ | 42.6b | (+.f64 1/2 (*.f64 -1/4 b)) |
| 41.0b | 1/2 |
Compiled 137 to 106 computations (22.6% saved)
| Inputs |
|---|
1/2 |
(-.f64 1 1) |
(/.f64 1 b) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 -1 (-.f64 a 2)) |
(/.f64 1 (+.f64 b 2)) |
(/.f64 2 (*.f64 a a)) |
(/.f64 2 (*.f64 b b)) |
(/.f64 (/.f64 2 b) b) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(/.f64 -1 (+.f64 (*.f64 a (*.f64 a -1/2)) -2)) |
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b)))) |
(/.f64 -1 (+.f64 (*.f64 (+.f64 1 (*.f64 a -1/2)) a) -2)) |
(/.f64 -1 (+.f64 (+.f64 a (*.f64 -1/2 (*.f64 a a))) -2)) |
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))) |
(/.f64 (+.f64 b (-.f64 -2 (*.f64 1/2 (*.f64 b b)))) (-.f64 (*.f64 b b) (*.f64 (+.f64 2 (*.f64 1/2 (*.f64 b b))) (+.f64 2 (*.f64 1/2 (*.f64 b b)))))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
5 calls:
| 20.0ms | a |
| 11.0ms | b |
| 5.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 4.0ms | (exp.f64 a) |
| 4.0ms | (exp.f64 b) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 2 | a |
| 1.2b | 1 | b |
| 0.2b | 2 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 0.2b | 2 | (exp.f64 a) |
| 1.2b | 1 | (exp.f64 b) |
Compiled 193 to 131 computations (32.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999981862060121 | 0.9999998131436213 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
1/2 |
(-.f64 1 1) |
(/.f64 1 b) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 -1 (-.f64 a 2)) |
(/.f64 1 (+.f64 b 2)) |
(/.f64 2 (*.f64 a a)) |
(/.f64 2 (*.f64 b b)) |
(/.f64 (/.f64 2 b) b) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(/.f64 -1 (+.f64 (*.f64 a (*.f64 a -1/2)) -2)) |
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b)))) |
(/.f64 -1 (+.f64 (*.f64 (+.f64 1 (*.f64 a -1/2)) a) -2)) |
(/.f64 -1 (+.f64 (+.f64 a (*.f64 -1/2 (*.f64 a a))) -2)) |
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))) |
(/.f64 (+.f64 b (-.f64 -2 (*.f64 1/2 (*.f64 b b)))) (-.f64 (*.f64 b b) (*.f64 (+.f64 2 (*.f64 1/2 (*.f64 b b))) (+.f64 2 (*.f64 1/2 (*.f64 b b)))))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
| Outputs |
|---|
(-.f64 1 1) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
3 calls:
| 26.0ms | b |
| 17.0ms | a |
| 5.0ms | (exp.f64 b) |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 2 | a |
| 8.0b | 3 | b |
| 8.2b | 3 | (exp.f64 b) |
Compiled 149 to 104 computations (30.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | -8462868109.081345 | -297.55310084518254 |
| 15.0ms | 144× | body | 256 | valid |
Compiled 150 to 136 computations (9.3% saved)
| Inputs |
|---|
1/2 |
(-.f64 1 1) |
(/.f64 1 b) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 -1 (-.f64 a 2)) |
(/.f64 1 (+.f64 b 2)) |
(/.f64 2 (*.f64 a a)) |
(/.f64 2 (*.f64 b b)) |
(/.f64 (/.f64 2 b) b) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(/.f64 -1 (+.f64 (*.f64 a (*.f64 a -1/2)) -2)) |
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b)))) |
(/.f64 -1 (+.f64 (*.f64 (+.f64 1 (*.f64 a -1/2)) a) -2)) |
(/.f64 -1 (+.f64 (+.f64 a (*.f64 -1/2 (*.f64 a a))) -2)) |
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))) |
(/.f64 (+.f64 b (-.f64 -2 (*.f64 1/2 (*.f64 b b)))) (-.f64 (*.f64 b b) (*.f64 (+.f64 2 (*.f64 1/2 (*.f64 b b))) (+.f64 2 (*.f64 1/2 (*.f64 b b)))))) |
| Outputs |
|---|
(-.f64 1 1) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
2 calls:
| 19.0ms | a |
| 17.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 12.6b | 2 | a |
| 17.5b | 2 | b |
Compiled 139 to 96 computations (30.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | -8462868109.081345 | -297.55310084518254 |
| 15.0ms | 144× | body | 256 | valid |
Compiled 177 to 163 computations (7.9% saved)
| Inputs |
|---|
1/2 |
(-.f64 1 1) |
(/.f64 1 b) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 -1 (-.f64 a 2)) |
(/.f64 1 (+.f64 b 2)) |
(/.f64 2 (*.f64 a a)) |
(/.f64 2 (*.f64 b b)) |
(/.f64 (/.f64 2 b) b) |
| Outputs |
|---|
1/2 |
(-.f64 1 1) |
(/.f64 -1 (-.f64 a 2)) |
(-.f64 1 1) |
(/.f64 -1 (-.f64 a 2)) |
(-.f64 1 1) |
2 calls:
| 35.0ms | b |
| 22.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 21.3b | 4 | a |
| 19.8b | 6 | b |
Compiled 50 to 37 computations (26% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.999464461111851e-19 | 1.1293826941704287e-16 |
| 12.0ms | 1.1231447203531678e-268 | 2.612226659854927e-266 |
| 10.0ms | 5.805668608715013e-282 | 2.562828615792118e-281 |
| 12.0ms | -1.0379761791590408e-130 | -5.31442346378591e-132 |
| 14.0ms | -5.458456607433988e-93 | -1.3146842287306136e-97 |
| 55.0ms | 576× | body | 256 | valid |
Compiled 487 to 454 computations (6.8% saved)
| Inputs |
|---|
1/2 |
(-.f64 1 1) |
(/.f64 1 b) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (*.f64 1/4 a)) |
| Outputs |
|---|
1/2 |
(-.f64 1 1) |
(+.f64 1/2 (*.f64 1/4 a)) |
(-.f64 1 1) |
1/2 |
(-.f64 1 1) |
2 calls:
| 27.0ms | b |
| 16.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 21.3b | 4 | a |
| 19.9b | 6 | b |
Compiled 25 to 20 computations (20% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.999464461111851e-19 | 1.1293826941704287e-16 |
| 12.0ms | 1.1231447203531678e-268 | 2.612226659854927e-266 |
| 15.0ms | 6.702628270286758e-293 | 3.880432038909602e-285 |
| 12.0ms | -1.0379761791590408e-130 | -5.31442346378591e-132 |
| 13.0ms | -5.458456607433988e-93 | -1.3146842287306136e-97 |
| 59.0ms | 624× | body | 256 | valid |
Compiled 469 to 448 computations (4.5% saved)
Total -42.6b remaining (-212.9%)
Threshold costs -42.6b (-212.9%)
| Inputs |
|---|
1/2 |
(-.f64 1 1) |
(/.f64 1 b) |
(+.f64 1/2 (*.f64 -1/4 b)) |
| Outputs |
|---|
1/2 |
(-.f64 1 1) |
1/2 |
(-.f64 1 1) |
1/2 |
(-.f64 1 1) |
2 calls:
| 21.0ms | b |
| 14.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 21.3b | 4 | a |
| 20.0b | 6 | b |
Compiled 20 to 16 computations (20% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.999464461111851e-19 | 1.1293826941704287e-16 |
| 3.0ms | 1.1231447203531678e-268 | 2.612226659854927e-266 |
| 15.0ms | 6.702628270286758e-293 | 3.880432038909602e-285 |
| 11.0ms | -1.0379761791590408e-130 | -5.31442346378591e-132 |
| 14.0ms | -5.458456607433988e-93 | -1.3146842287306136e-97 |
| 50.0ms | 544× | body | 256 | valid |
Compiled 355 to 350 computations (1.4% saved)
| 1× | egg-herbie |
| 20× | not-or |
| 16× | +-commutative |
| 16× | not-not |
| 16× | if-if-or-not |
| 16× | if-not |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 303 |
| 1 | 100 | 303 |
| 2 | 110 | 303 |
| 3 | 123 | 299 |
| 4 | 134 | 299 |
| 5 | 145 | 299 |
| 6 | 150 | 299 |
| 7 | 153 | 299 |
| 8 | 154 | 299 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (exp.f64 a) 9007190247541737/9007199254740992) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(if (<=.f64 a -720) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(if (<=.f64 a -350) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)) |
(if (<=.f64 b -5194600426282475/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) 1/2 (if (<=.f64 b -5094693634115699/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (-.f64 1 1) (if (<=.f64 b 8338461146011297/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) (/.f64 -1 (-.f64 a 2)) (if (<=.f64 b 3159910930515289/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552) (-.f64 1 1) (if (<=.f64 b 4381000474388761/40564819207303340847894502572032) (/.f64 -1 (-.f64 a 2)) (-.f64 1 1)))))) |
(if (<=.f64 b -5194600426282475/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) 1/2 (if (<=.f64 b -8491156056859499/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (-.f64 1 1) (if (<=.f64 b 3771710297295661/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008) (+.f64 1/2 (*.f64 1/4 a)) (if (<=.f64 b 8550347223747253/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208) (-.f64 1 1) (if (<=.f64 b 2271629875608987/20282409603651670423947251286016) 1/2 (-.f64 1 1)))))) |
(if (<=.f64 b -5194600426282475/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) 1/2 (if (<=.f64 b -5094693634115699/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (-.f64 1 1) (if (<=.f64 b 2544832942067385/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) 1/2 (if (<=.f64 b 7435084542388915/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (-.f64 1 1) (if (<=.f64 b 2271629875608987/20282409603651670423947251286016) 1/2 (-.f64 1 1)))))) |
1/2 |
| Outputs |
|---|
(if (<=.f64 (exp.f64 a) 9007190247541737/9007199254740992) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(if (<=.f64 a -720) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(if (<=.f64 a -720) 0 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(if (<=.f64 a -350) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)) |
(if (<=.f64 a -350) 0 (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)) |
(if (<=.f64 b -5194600426282475/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) 1/2 (if (<=.f64 b -5094693634115699/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (-.f64 1 1) (if (<=.f64 b 8338461146011297/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) (/.f64 -1 (-.f64 a 2)) (if (<=.f64 b 3159910930515289/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552) (-.f64 1 1) (if (<=.f64 b 4381000474388761/40564819207303340847894502572032) (/.f64 -1 (-.f64 a 2)) (-.f64 1 1)))))) |
(if (<=.f64 b -5194600426282475/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) 1/2 (if (<=.f64 b -5094693634115699/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) 0 (if (<=.f64 b 8338461146011297/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) (/.f64 -1 (+.f64 a -2)) (if (<=.f64 b 3159910930515289/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552) 0 (if (<=.f64 b 4381000474388761/40564819207303340847894502572032) (/.f64 -1 (+.f64 a -2)) 0))))) |
(if (<=.f64 b -5194600426282475/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) 1/2 (if (<=.f64 b -5094693634115699/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) 0 (if (or (<=.f64 b 8338461146011297/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) (and (not (<=.f64 b 3159910930515289/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552)) (<=.f64 b 4381000474388761/40564819207303340847894502572032))) (/.f64 -1 (+.f64 a -2)) 0))) |
(if (<=.f64 b -5194600426282475/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) 1/2 (if (<=.f64 b -8491156056859499/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (-.f64 1 1) (if (<=.f64 b 3771710297295661/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008) (+.f64 1/2 (*.f64 1/4 a)) (if (<=.f64 b 8550347223747253/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208) (-.f64 1 1) (if (<=.f64 b 2271629875608987/20282409603651670423947251286016) 1/2 (-.f64 1 1)))))) |
(if (<=.f64 b -5194600426282475/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) 1/2 (if (<=.f64 b -8491156056859499/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) 0 (if (<=.f64 b 3771710297295661/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008) (+.f64 1/2 (*.f64 a 1/4)) (if (<=.f64 b 8550347223747253/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208) 0 (if (<=.f64 b 2271629875608987/20282409603651670423947251286016) 1/2 0))))) |
(if (<=.f64 b -5194600426282475/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) 1/2 (if (<=.f64 b -5094693634115699/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (-.f64 1 1) (if (<=.f64 b 2544832942067385/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) 1/2 (if (<=.f64 b 7435084542388915/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (-.f64 1 1) (if (<=.f64 b 2271629875608987/20282409603651670423947251286016) 1/2 (-.f64 1 1)))))) |
(if (<=.f64 b -5194600426282475/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) 1/2 (if (<=.f64 b -5094693634115699/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) 0 (if (<=.f64 b 2544832942067385/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336) 1/2 (if (<=.f64 b 7435084542388915/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) 0 (if (<=.f64 b 2271629875608987/20282409603651670423947251286016) 1/2 0))))) |
1/2 |
Compiled 143 to 119 computations (16.8% saved)
| 2× | egg-herbie |
| 1306× | associate-/r* |
| 1228× | associate-/l/ |
| 1056× | associate-+r- |
| 940× | associate-/r/ |
| 768× | unswap-sqr |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 1060 |
| 1 | 275 | 992 |
| 2 | 945 | 988 |
| 3 | 3047 | 836 |
| 0 | 199 | 2710 |
| 1 | 446 | 2236 |
| 2 | 1666 | 2136 |
| 3 | 7522 | 2136 |
| 1× | node limit |
| 1× | node limit |
Compiled 161 to 104 computations (35.4% saved)
Compiled 131 to 106 computations (19.1% saved)
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