Time bar (total: 15.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 3 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 4 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 5 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 6 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 7 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 8 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 9 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 10 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 11 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 4.8s | 2053× | body | 2048 | valid |
| 2.1s | 3153× | body | 1024 | valid |
| 605.0ms | 1530× | body | 512 | valid |
| 283.0ms | 1424× | body | 256 | valid |
| 117.0ms | 96× | body | 4096 | valid |
| 2× | egg-herbie |
| 1016× | fma-def |
| 606× | distribute-lft-in |
| 520× | associate-/r* |
| 394× | associate--r- |
| 372× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 16 | 27 |
| 2 | 26 | 27 |
| 3 | 44 | 27 |
| 4 | 74 | 27 |
| 5 | 133 | 27 |
| 6 | 281 | 27 |
| 7 | 579 | 27 |
| 8 | 1510 | 27 |
| 9 | 2731 | 27 |
| 10 | 3633 | 27 |
| 11 | 4123 | 27 |
| 12 | 4721 | 27 |
| 13 | 4753 | 27 |
| 14 | 4765 | 27 |
| 15 | 4769 | 27 |
| 16 | 4769 | 27 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
| Outputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
| 1016× | fma-def |
| 606× | distribute-lft-in |
| 520× | associate-/r* |
| 394× | associate--r- |
| 372× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 16 | 27 |
| 2 | 26 | 27 |
| 3 | 44 | 27 |
| 4 | 74 | 27 |
| 5 | 133 | 27 |
| 6 | 281 | 27 |
| 7 | 579 | 27 |
| 8 | 1510 | 27 |
| 9 | 2731 | 27 |
| 10 | 3633 | 27 |
| 11 | 4123 | 27 |
| 12 | 4721 | 27 |
| 13 | 4753 | 27 |
| 14 | 4765 | 27 |
| 15 | 4769 | 27 |
| 16 | 4769 | 27 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
| Outputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
Compiled 19 to 9 computations (52.6% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 32.5b | (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
Compiled 10 to 6 computations (40% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
| ✓ | 2.0b | (-.f64 (tan.f64 x) x) |
| ✓ | 2.1b | (-.f64 (sin.f64 x) x) |
Compiled 23 to 6 computations (73.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
| 0.0ms | x | @ | -inf | (-.f64 (tan.f64 x) x) |
| 0.0ms | x | @ | 0 | (-.f64 (tan.f64 x) x) |
| 0.0ms | x | @ | inf | (-.f64 (tan.f64 x) x) |
| 1× | batch-egg-rewrite |
| 1602× | associate-/r* |
| 1560× | associate-/l* |
| 1136× | *-commutative |
| 816× | associate-/r/ |
| 530× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 49 |
| 1 | 207 | 49 |
| 2 | 3136 | 49 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (sin.f64 x) x) |
(-.f64 (tan.f64 x) x) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (/.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))))) |
| 1× | egg-herbie |
| 1340× | associate-*r* |
| 1178× | associate-*l* |
| 1070× | associate-/l* |
| 872× | associate-/r* |
| 670× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 673 | 13241 |
| 1 | 2098 | 13099 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))) |
(*.f64 -1 x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(*.f64 1/3 (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5))))) |
(*.f64 -1 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) |
(+.f64 (sin.f64 x) (neg.f64 x)) |
(+.f64 (sin.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (sin.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (sin.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (-.f64 (sin.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (-.f64 (sin.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (-.f64 (sin.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (-.f64 (sin.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (-.f64 (sin.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (-.f64 (sin.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (-.f64 (sin.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (-.f64 (sin.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (-.f64 (sin.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (neg.f64 x) (sin.f64 x)) |
(+.f64 (neg.f64 x) (+.f64 (sin.f64 x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (neg.f64 x) (+.f64 (sin.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (neg.f64 x) (+.f64 (sin.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (sin.f64 x) x)) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (sin.f64 x) x)) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (sin.f64 x) x)) |
(+.f64 (-.f64 (sin.f64 x) (exp.f64 (log1p.f64 x))) 1) |
(*.f64 (-.f64 (sin.f64 x) x) 1) |
(*.f64 1 (-.f64 (sin.f64 x) x)) |
(*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (cbrt.f64 (-.f64 (sin.f64 x) x))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))) |
(*.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) |
(*.f64 (-.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (+.f64 x (sin.f64 x))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (-.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x))))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))) |
(/.f64 (-.f64 (sin.f64 x) x) 1) |
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 x) x))) |
(/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (sqrt.f64 (-.f64 (sin.f64 x) x)))) |
(/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (sin.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 x (sin.f64 x))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (/.f64 1 (+.f64 x (sin.f64 x))))) |
(/.f64 (+.f64 x (sin.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (sin.f64 x) x))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (/.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (-.f64 (sin.f64 x) x))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (*.f64 1 (neg.f64 (+.f64 x (sin.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))) |
(/.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (sin.f64 x) (neg.f64 x))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 1 (-.f64 (sin.f64 x) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) |
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(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (-.f64 (tan.f64 x) x)))) |
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) |
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) |
(*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (/.f64 -1 (-.f64 (tan.f64 x) x))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x)))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x)))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) (neg.f64 (-.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (tan.f64 x) (neg.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (-.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (-.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x))))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3) |
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1) |
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
| Outputs |
|---|
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/362880 (pow.f64 x 9) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7))))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(-.f64 (sin.f64 x) x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(-.f64 (sin.f64 x) x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(-.f64 (sin.f64 x) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(-.f64 (sin.f64 x) x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(-.f64 (sin.f64 x) x) |
(+.f64 (sin.f64 x) (*.f64 -1 x)) |
(-.f64 (sin.f64 x) x) |
(*.f64 1/3 (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3) 1/3) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15)) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) |
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5))))) |
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 (pow.f64 x 5) 2/15)))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2) |
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -1/2)) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)))) (-.f64 1 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))) |
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(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (-.f64 x (sin.f64 x)))) (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (tan.f64 x) x)) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) |
(/.f64 (*.f64 (/.f64 (*.f64 1 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (-.f64 (pow.f64 (sin.f64 x) 4) (*.f64 x (*.f64 (+.f64 x (sin.f64 x)) (*.f64 x (+.f64 x (sin.f64 x))))))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (*.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (*.f64 x x) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x))))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))) |
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 4) (-.f64 (*.f64 x (*.f64 (+.f64 x (sin.f64 x)) (*.f64 x (+.f64 x (sin.f64 x))))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))) (/.f64 (/.f64 (*.f64 1 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (tan.f64 x) x)) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3)))) |
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 4) (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x)))) (*.f64 x (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 x (sin.f64 x)))))) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 6)) (/.f64 1 (-.f64 (tan.f64 x) x))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (sqrt.f64 (-.f64 (tan.f64 x) x))))) |
(*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (sqrt.f64 (-.f64 (tan.f64 x) x))))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))) |
(*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))) |
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (-.f64 (sin.f64 x) x))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x))) |
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))) |
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 x (tan.f64 x)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))) |
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x)))) |
(/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (tan.f64 x) x))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
Compiled 10493 to 3668 computations (65% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 409 | 8 | 417 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 409 | 9 | 418 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.9b | (fma.f64 9/40 (*.f64 x x) -1/2) |
| ✓ | 32.5b | (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
| ▶ | 32.5b | (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))) |
| 49.7b | (/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x)))) | |
| ▶ | 34.1b | (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| ▶ | 30.6b | (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
| ▶ | 32.6b | (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
| 33.8b | 1 | |
| 30.6b | -1/2 |
Compiled 146 to 98 computations (32.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 9/40 (*.f64 x x) -1/2) |
Compiled 13 to 7 computations (46.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (fma.f64 9/40 (*.f64 x x) -1/2) |
| 0.0ms | x | @ | 0 | (fma.f64 9/40 (*.f64 x x) -1/2) |
| 0.0ms | x | @ | -inf | (fma.f64 9/40 (*.f64 x x) -1/2) |
| 1× | batch-egg-rewrite |
| 1404× | add-sqr-sqrt |
| 1378× | *-un-lft-identity |
| 1288× | add-cube-cbrt |
| 1278× | add-cbrt-cube |
| 1264× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 161 | 15 |
| 2 | 1777 | 15 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 9/40 (*.f64 x x) -1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 (*.f64 9/40 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 9/40 x) x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) 1/4) (-.f64 (*.f64 (*.f64 9/40 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) -1/8) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 1/4 (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2))))))) |
| 1× | egg-herbie |
| 1446× | distribute-lft-in |
| 1408× | distribute-rgt-in |
| 1240× | associate-*r* |
| 924× | associate-/l* |
| 902× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 602 |
| 1 | 150 | 584 |
| 2 | 710 | 556 |
| 3 | 3330 | 556 |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(+.f64 -1/2 (*.f64 (*.f64 9/40 x) x)) |
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) |
(+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) 1) -1/2) |
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1) |
(*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1) |
(*.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) |
(*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) 1/4) (-.f64 (*.f64 (*.f64 9/40 x) x) -1/2)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) -1/8) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 1/4 (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2)))) |
(pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1) |
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3) |
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) |
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
| Outputs |
|---|
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(+.f64 -1/2 (*.f64 (*.f64 9/40 x) x)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) 1) -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(*.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) 1/4) (-.f64 (*.f64 (*.f64 9/40 x) x) -1/2)) |
(/.f64 (fma.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x)) -1/4) (fma.f64 (*.f64 9/40 x) x 1/2)) |
(/.f64 (fma.f64 (*.f64 9/40 x) (*.f64 (pow.f64 x 3) 9/40) -1/4) (fma.f64 9/40 (*.f64 x x) 1/2)) |
(/.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) (fma.f64 9/40 (*.f64 x x) 1/2)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) -1/8) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 1/4 (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) -1/8) (fma.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/2 (*.f64 9/40 (*.f64 x x)))))) |
(/.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) -1/8) (fma.f64 (*.f64 9/40 x) (*.f64 (pow.f64 x 3) 9/40) (-.f64 1/4 (*.f64 (*.f64 x x) -9/80)))) |
(/.f64 (fma.f64 729/64000 (pow.f64 (*.f64 x x) 3) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (-.f64 1/4 (*.f64 x (*.f64 x -9/80))))) |
(/.f64 (fma.f64 729/64000 (pow.f64 (*.f64 x x) 3) -1/8) (+.f64 (fma.f64 81/1600 (pow.f64 x 4) 1/4) (*.f64 x (*.f64 9/80 x)))) |
(pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| 2.0b | (-.f64 (tan.f64 x) x) |
Compiled 17 to 5 computations (70.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| 0.0ms | x | @ | inf | (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| 0.0ms | x | @ | -inf | (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| 1× | batch-egg-rewrite |
| 1814× | add-sqr-sqrt |
| 1798× | *-un-lft-identity |
| 1682× | add-cube-cbrt |
| 1662× | add-cbrt-cube |
| 190× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 1 | 181 | 17 |
| 2 | 2748 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (neg.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))))))) |
| 1× | egg-herbie |
| 1018× | associate-+r+ |
| 942× | times-frac |
| 912× | associate-+l+ |
| 864× | associate-/l* |
| 622× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 1435 |
| 1 | 366 | 1413 |
| 2 | 1455 | 1401 |
| 3 | 6064 | 1401 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -3 (pow.f64 x 2)) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
1 |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) |
1 |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) |
(-.f64 0 (/.f64 x (+.f64 x (tan.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) 1) |
(-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x)))) |
(*.f64 x (/.f64 1 (+.f64 x (tan.f64 x)))) |
(*.f64 x (/.f64 1 (neg.f64 (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1) |
(*.f64 1 (/.f64 x (+.f64 x (tan.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x))))) |
(*.f64 -1 (/.f64 x (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x))))) |
(pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1) |
(neg.f64 (/.f64 x (+.f64 x (tan.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) |
(exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))) |
| Outputs |
|---|
(/.f64 -3 (pow.f64 x 2)) |
(/.f64 -3 (*.f64 x x)) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (/.f64 3 (*.f64 x x))) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (/.f64 3 (*.f64 x x))) |
(+.f64 (fma.f64 (*.f64 x x) 1/175 6/5) (/.f64 -3 (*.f64 x x))) |
(+.f64 6/5 (fma.f64 x (*.f64 x 1/175) (/.f64 -3 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (*.f64 2/7875 (pow.f64 x 4))) (/.f64 3 (*.f64 x x))) |
(+.f64 (fma.f64 (*.f64 x x) 1/175 (fma.f64 2/7875 (pow.f64 x 4) 6/5)) (/.f64 -3 (*.f64 x x))) |
(+.f64 (fma.f64 x (*.f64 x 1/175) 6/5) (fma.f64 2/7875 (pow.f64 x 4) (/.f64 -3 (*.f64 x x)))) |
1 |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) |
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))) |
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3))))) |
1 |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) |
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) |
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)))) |
(+.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))) |
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3))))) |
(-.f64 0 (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) 1) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x))) |
(*.f64 x (/.f64 1 (+.f64 x (tan.f64 x)))) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(*.f64 x (/.f64 1 (neg.f64 (+.f64 x (tan.f64 x))))) |
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(*.f64 1 (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x))))) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x))))) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x))))) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x))))) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(*.f64 -1 (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x))))) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x))))) |
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) |
(*.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x))) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2))) |
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x))))) |
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x)))) |
(/.f64 (/.f64 (neg.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x)))) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x))))) |
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x)))) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x))))) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2))) |
(pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(neg.f64 (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2)) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x))))) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3)) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x))))) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 1)) |
(/.f64 x (+.f64 x (tan.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))) |
(/.f64 x (+.f64 x (tan.f64 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (-.f64 (tan.f64 x) x)) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
| 2.0b | (-.f64 (tan.f64 x) x) | |
| 2.1b | (-.f64 (sin.f64 x) x) |
Compiled 32 to 11 computations (65.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 (tan.f64 x) x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (-.f64 (tan.f64 x) x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 (tan.f64 x) x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
| 1× | batch-egg-rewrite |
| 992× | distribute-rgt-in |
| 964× | associate-/r* |
| 946× | distribute-lft-in |
| 822× | associate-/l* |
| 608× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 44 |
| 1 | 238 | 44 |
| 2 | 3270 | 44 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
| Outputs |
|---|
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|
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| 1× | egg-herbie |
| 920× | associate-/l* |
| 784× | associate-*r* |
| 738× | associate-*l* |
| 730× | associate-/r* |
| 652× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 673 | 14333 |
| 1 | 2050 | 13459 |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) |
(/.f64 3 (pow.f64 x 3)) |
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 6/5 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1/175 x) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1/175 x) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 -2/7875 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x)) |
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(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3)))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))) |
(pow.f64 (-.f64 (tan.f64 x) x) -1) |
(pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1) |
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 x) x)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) |
| Outputs |
|---|
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) -1/2)) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2) |
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -1/2)) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))) |
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))) |
(-.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) 1) (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(-.f64 (+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))) |
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))) |
(-.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) |
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) 1) (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))) |
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) |
(/.f64 3 (pow.f64 x 3)) |
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 6/5 (/.f64 1 x))) |
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 6/5 x)) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -6/5 x)) |
(-.f64 (+.f64 (*.f64 -1/175 x) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x))) |
(-.f64 (fma.f64 -1/175 x (/.f64 3 (pow.f64 x 3))) (/.f64 6/5 x)) |
(+.f64 (fma.f64 -1/175 x (/.f64 3 (pow.f64 x 3))) (/.f64 -6/5 x)) |
(-.f64 (+.f64 (*.f64 -1/175 x) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 -2/7875 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x))) |
(-.f64 (+.f64 (fma.f64 -1/175 x (/.f64 3 (pow.f64 x 3))) (*.f64 (pow.f64 x 3) -2/7875)) (/.f64 6/5 x)) |
(+.f64 (fma.f64 -1/175 x (/.f64 3 (pow.f64 x 3))) (+.f64 (*.f64 (pow.f64 x 3) -2/7875) (/.f64 -6/5 x))) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3)))) (/.f64 1 x)) |
(+.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (/.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x)) |
(-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (*.f64 -1 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3)) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x)) |
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))) (/.f64 -1 x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x)) |
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 1 x)) |
(fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3)))) (/.f64 1 x)) |
(+.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (/.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x)) |
(-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (*.f64 -1 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3)) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x)) |
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))) (/.f64 -1 x)) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (+.f64 (neg.f64 x) x))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (/.f64 (*.f64 0 x) (-.f64 (tan.f64 x) x))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (fma.f64 (neg.f64 x) 1 x) (/.f64 1 (-.f64 (tan.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (+.f64 (neg.f64 x) x))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (/.f64 (*.f64 0 x) (-.f64 (tan.f64 x) x))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (/.f64 1 (-.f64 (tan.f64 x) x)))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))) |
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (*.f64 (neg.f64 x) 1))) |
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x))) |
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(+.f64 (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)))) |
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(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1)) |
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) x) (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (tan.f64 x))) |
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) |
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) x)) |
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) |
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (tan.f64 x) 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (tan.f64 x) 2))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (tan.f64 x)))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) |
(+.f64 (*.f64 x (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (tan.f64 x) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))) |
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) |
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) |
(+.f64 (*.f64 (tan.f64 x) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 x (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))) |
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) |
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) |
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) |
(+.f64 (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (pow.f64 (tan.f64 x) 2) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) |
(+.f64 (*.f64 (+.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (*.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) 1) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
(*.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x))) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
(*.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (pow.f64 (-.f64 (tan.f64 x) x) -1/2)) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (cbrt.f64 (-.f64 (tan.f64 x) x))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (cbrt.f64 (-.f64 (tan.f64 x) x))) |
(*.f64 -1 (/.f64 -1 (-.f64 (tan.f64 x) x))) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) |
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3)) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x))) |
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) |
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) |
(*.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) -1) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -1)) |
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) |
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3)) |
(*.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))) |
(*.f64 (fma.f64 x x (pow.f64 (tan.f64 x) 2)) (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 x 4)))) |
(/.f64 (*.f64 (+.f64 x (tan.f64 x)) (fma.f64 x x (pow.f64 (tan.f64 x) 2))) (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 x 4))) |
(*.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 x 6))) (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (tan.f64 x) 2))))) |
(*.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 x 6))) (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (tan.f64 x) 2))))) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) |
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x))) |
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) |
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x))))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x))) |
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) |
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3)))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 x 6))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 x 6)) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3))) (+.f64 (pow.f64 (tan.f64 x) 6) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 6)))) |
(pow.f64 (-.f64 (tan.f64 x) x) -1) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
(pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) 2) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) |
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3)) |
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3))) |
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x)))) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 x) x)) -1)) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))) 1)) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) |
(/.f64 1 (-.f64 (tan.f64 x) x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 -27/2800 (pow.f64 x 4)) |
| ✓ | 14.1b | (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
Compiled 39 to 26 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
| 0.0ms | x | @ | inf | (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
| 0.0ms | x | @ | 0 | (*.f64 -27/2800 (pow.f64 x 4)) |
| 0.0ms | x | @ | inf | (*.f64 -27/2800 (pow.f64 x 4)) |
| 0.0ms | x | @ | -inf | (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
| 1× | batch-egg-rewrite |
| 1862× | add-sqr-sqrt |
| 1828× | *-un-lft-identity |
| 1714× | add-cube-cbrt |
| 1702× | add-cbrt-cube |
| 202× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 226 | 40 |
| 2 | 2448 | 40 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 (*.f64 9/40 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) 1) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (*.f64 (pow.f64 x 8) 729/7840000)) (-.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 729/7840000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))))))) |
| 1× | egg-herbie |
| 1244× | associate-/l* |
| 720× | associate-/r* |
| 648× | unswap-sqr |
| 556× | fma-def |
| 534× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 1236 |
| 1 | 231 | 1190 |
| 2 | 1138 | 1170 |
| 3 | 4499 | 1170 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9/40 (pow.f64 x 2)) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 (*.f64 9/40 x) x)) |
(+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) 1) (*.f64 -27/2800 (pow.f64 x 4))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) 1) |
(*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1) |
(*.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) |
(*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) |
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (*.f64 (pow.f64 x 8) 729/7840000)) (-.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4)))))) |
(pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 3) |
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2)) |
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))) |
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) |
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1) |
(pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) |
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3) |
(pow.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 8) 729/7840000)) |
(log.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))) |
(cbrt.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) |
(exp.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))) |
| Outputs |
|---|
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 (*.f64 9/40 x) x)) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) 1) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) 1) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2)) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (*.f64 (pow.f64 x 8) 729/7840000)) (-.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4)))) |
(/.f64 (-.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x))) (*.f64 (pow.f64 x 8) 729/7840000)) (+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 27/2800 (pow.f64 x 4)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) 729/7840000)) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) |
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 (pow.f64 x 4) 27/2800 (*.f64 9/40 (*.f64 x x)))) |
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) (*.f64 -19683/21952000000 (pow.f64 (pow.f64 x 4) 3))) (fma.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4))))) |
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 (pow.f64 x 4) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (-.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) -243/112000))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 (*.f64 -19683/21952000000 (pow.f64 (*.f64 x x) 6))) (fma.f64 (pow.f64 x 8) 729/7840000 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 (*.f64 x x) 243/112000) 81/1600)))) |
(pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 3) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3) 1/3) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2)) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3)) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 1)) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) 2) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(pow.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) 1/3) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(sqrt.f64 (*.f64 (pow.f64 x 8) 729/7840000)) |
(log.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(cbrt.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3)) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(exp.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4)))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(exp.f64 (*.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))) 1)) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))) |
| ✓ | 0.2b | (/.f64 (sin.f64 x) (cos.f64 x)) |
| ✓ | 2.0b | (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
| 2.1b | (-.f64 (sin.f64 x) x) |
Compiled 38 to 8 computations (78.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) (cos.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 x) (cos.f64 x)) |
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
| 1× | batch-egg-rewrite |
| 1374× | associate-/r/ |
| 1002× | distribute-rgt-in |
| 956× | distribute-lft-in |
| 820× | associate-/l/ |
| 278× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 43 |
| 1 | 256 | 43 |
| 2 | 4113 | 43 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (-.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 x) (-.f64 x (fma.f64 x -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 x) (-.f64 x (fma.f64 x 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 x) (-.f64 x (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 x) (-.f64 x (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (tan.f64 x)))) (-.f64 1 (fma.f64 x -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (tan.f64 x)))) (-.f64 1 (fma.f64 x 1 x)))))) 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| 1× | egg-herbie |
| 1442× | associate-*r* |
| 1300× | associate-*l* |
| 1190× | associate-/r* |
| 840× | associate-/l* |
| 768× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 610 | 12512 |
| 1 | 1988 | 11832 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5))))) |
(*.f64 -1 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(*.f64 -1 x) |
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(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
x |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))) |
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
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1 |
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(-.f64 (tan.f64 x) x) |
(-.f64 (tan.f64 x) (-.f64 x (fma.f64 x -1 x))) |
(-.f64 (tan.f64 x) (-.f64 x (fma.f64 x 1 x))) |
(-.f64 (tan.f64 x) (-.f64 x (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(-.f64 (tan.f64 x) (-.f64 x (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
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(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (tan.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (tan.f64 x)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (tan.f64 x)))) (-.f64 1 (fma.f64 x -1 x))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (tan.f64 x)))) (-.f64 1 (fma.f64 x 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (tan.f64 x)))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
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(-.f64 (+.f64 x (exp.f64 (log1p.f64 (tan.f64 x)))) 1) |
(-.f64 (+.f64 (tan.f64 x) (exp.f64 (log1p.f64 x))) 1) |
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(*.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) |
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(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (tan.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))))) (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (tan.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))) |
(/.f64 (+.f64 x (tan.f64 x)) 1) |
(/.f64 1 (/.f64 1 (+.f64 x (tan.f64 x)))) |
(/.f64 1 (/.f64 (+.f64 x (tan.f64 x)) (pow.f64 (+.f64 x (tan.f64 x)) 2))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) |
(/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 3) (pow.f64 (+.f64 x (tan.f64 x)) 2)) |
(/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (+.f64 x (tan.f64 x))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 (+.f64 x (tan.f64 x)) (*.f64 (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))) |
(/.f64 (*.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (pow.f64 (+.f64 x (tan.f64 x)) 2)) (pow.f64 (+.f64 x (tan.f64 x)) 3)) |
(/.f64 (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 x (tan.f64 x))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) |
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (+.f64 x (tan.f64 x)) 3)) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))) |
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(pow.f64 (+.f64 x (tan.f64 x)) 1) |
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(pow.f64 (pow.f64 (+.f64 x (tan.f64 x)) 3) 1/3) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 x)) 3) (pow.f64 (+.f64 x (tan.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) |
(exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) |
| Outputs |
|---|
(*.f64 1/3 (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) |
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5))))) |
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 2/15 (pow.f64 x 5))))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) |
x |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x) |
(fma.f64 1/3 (pow.f64 x 3) x) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))) |
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) |
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) -1/2)) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2) |
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -1/2)) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))) |
(+.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (-.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x 3) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (cos.f64 x) 2))))) (/.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(+.f64 1 (*.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (sin.f64 x) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) |
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 1 (*.f64 -1 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) |
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x 3) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (sin.f64 x) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))))) |
(-.f64 (tan.f64 x) x) |
(-.f64 (tan.f64 x) (-.f64 x (fma.f64 x -1 x))) |
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 x -1 x)) |
(-.f64 (tan.f64 x) (-.f64 x (fma.f64 x 1 x))) |
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 x 1 x)) |
(-.f64 (tan.f64 x) (-.f64 x (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(-.f64 (tan.f64 x) (-.f64 x (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(-.f64 0 (-.f64 x (tan.f64 x))) |
(-.f64 (tan.f64 x) x) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (tan.f64 x))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (tan.f64 x)) |
(+.f64 (tan.f64 x) (+.f64 (exp.f64 (log1p.f64 x)) -1)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (tan.f64 x)))) 1) |
(+.f64 x (tan.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (tan.f64 x)))) (-.f64 1 (fma.f64 x -1 x))) |
(+.f64 (+.f64 x (tan.f64 x)) (fma.f64 x -1 x)) |
(+.f64 x (+.f64 (tan.f64 x) (fma.f64 x -1 x))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (tan.f64 x)))) (-.f64 1 (fma.f64 x 1 x))) |
(+.f64 (+.f64 x (tan.f64 x)) (fma.f64 x 1 x)) |
(+.f64 (tan.f64 x) (+.f64 x (fma.f64 x 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (tan.f64 x)))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (+.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (+.f64 x (tan.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (tan.f64 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (+.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 x (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) (+.f64 x 1)) |
(-.f64 (tan.f64 x) x) |
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 x (tan.f64 x))) (/.f64 (*.f64 x x) (+.f64 x (tan.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 x (tan.f64 x))) (*.f64 (/.f64 x (+.f64 x (tan.f64 x))) x)) |
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 x (tan.f64 x))) (-.f64 (/.f64 (*.f64 x x) (+.f64 x (tan.f64 x))) (fma.f64 x -1 x))) |
(+.f64 (fma.f64 x -1 x) (-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 x (tan.f64 x))) (*.f64 (/.f64 x (+.f64 x (tan.f64 x))) x))) |
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 x (tan.f64 x))) (-.f64 (/.f64 (*.f64 x x) (+.f64 x (tan.f64 x))) (fma.f64 x 1 x))) |
(+.f64 (fma.f64 x 1 x) (-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 x (tan.f64 x))) (*.f64 (/.f64 x (+.f64 x (tan.f64 x))) x))) |
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 x (tan.f64 x))) (-.f64 (/.f64 (*.f64 x x) (+.f64 x (tan.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 x (tan.f64 x))) (*.f64 (/.f64 x (+.f64 x (tan.f64 x))) x))) |
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 x (tan.f64 x))) (-.f64 (/.f64 (*.f64 x x) (+.f64 x (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 x (tan.f64 x))) (*.f64 (/.f64 x (+.f64 x (tan.f64 x))) x))) |
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (tan.f64 x)))) 1) |
(+.f64 x (tan.f64 x)) |
(-.f64 (+.f64 (tan.f64 x) (exp.f64 (log1p.f64 x))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (tan.f64 x)) |
(+.f64 (tan.f64 x) (+.f64 (exp.f64 (log1p.f64 x)) -1)) |
(*.f64 (+.f64 x (tan.f64 x)) 1) |
(+.f64 x (tan.f64 x)) |
(*.f64 1 (+.f64 x (tan.f64 x))) |
(+.f64 x (tan.f64 x)) |
(*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (sqrt.f64 (+.f64 x (tan.f64 x)))) |
(+.f64 x (tan.f64 x)) |
(*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) |
(+.f64 x (tan.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2) (cbrt.f64 (+.f64 x (tan.f64 x)))) |
(+.f64 x (tan.f64 x)) |
(*.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (/.f64 1 (+.f64 x (tan.f64 x)))) |
(/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (pow.f64 (+.f64 x (tan.f64 x)) 2)) |
(*.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (/.f64 1 (+.f64 x (tan.f64 x)))) |
(/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (+.f64 x (tan.f64 x))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))) |
(*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (+.f64 x (tan.f64 x))) |
(+.f64 x (tan.f64 x)) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) |
(*.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (/.f64 (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))) (neg.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) 1) (/.f64 (+.f64 x (tan.f64 x)) (pow.f64 (+.f64 x (tan.f64 x)) 2))) |
(+.f64 x (tan.f64 x)) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) 1) (/.f64 (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) |
(*.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x))) |
(+.f64 x (tan.f64 x)) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) |
(*.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (-.f64 x (tan.f64 x))) |
(/.f64 (*.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (-.f64 x (tan.f64 x))) (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) |
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(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) (/.f64 1 (+.f64 x (tan.f64 x)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) (+.f64 x (tan.f64 x))) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 x (tan.f64 x)))) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (/.f64 (*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (-.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (*.f64 x x) (pow.f64 (+.f64 x (sin.f64 x)) 2))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (sin.f64 x) 4) (*.f64 x (*.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3)) (/.f64 1 (+.f64 x (tan.f64 x))))) (+.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2))))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (+.f64 x (tan.f64 x))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3))) (+.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2))))) |
(*.f64 (/.f64 (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 (+.f64 x (tan.f64 x)))) (+.f64 x (tan.f64 x))) (sqrt.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (+.f64 x (sin.f64 x)) (*.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 (+.f64 x (tan.f64 x)))))) |
(/.f64 (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) (*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))) (sqrt.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (+.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (+.f64 x (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)))) |
(*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) (cbrt.f64 (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (/.f64 (+.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2))) (cbrt.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 (+.f64 x (tan.f64 x)) x)) (pow.f64 (+.f64 x (tan.f64 x)) 3)) (+.f64 x (tan.f64 x))) |
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (+.f64 x (tan.f64 x)) 3))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 (+.f64 x (tan.f64 x)) x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))) |
(/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (*.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 (+.f64 x (tan.f64 x)) x)) (*.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (pow.f64 (+.f64 x (tan.f64 x)) 2))) (pow.f64 (+.f64 x (tan.f64 x)) 2)) |
(*.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (+.f64 x (tan.f64 x)) 4))) |
(/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (+.f64 x (tan.f64 x)) 2)) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 (+.f64 x (tan.f64 x)) x)) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) |
(*.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 (+.f64 x (tan.f64 x)) x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 x (tan.f64 x)))) (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) |
(*.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 (+.f64 x (tan.f64 x)) x)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 (+.f64 x (tan.f64 x)) 2)) |
(*.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 x 4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 (+.f64 x (tan.f64 x)) x)) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 4) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 x 6)))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 x x) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 x 6)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 (+.f64 x (tan.f64 x)) x)) (*.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))) |
(*.f64 (*.f64 (+.f64 x (tan.f64 x)) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 (+.f64 x (tan.f64 x)) x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (pow.f64 (+.f64 x (tan.f64 x)) 2))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (/.f64 (-.f64 (*.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))) |
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) 1) |
(+.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 2) |
(+.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 3) |
(+.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) 3) 1/3) |
(+.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) |
(pow.f64 (/.f64 (+.f64 x (tan.f64 x)) (+.f64 x (sin.f64 x))) -1) |
(+.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) |
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) |
(/.f64 (neg.f64 (+.f64 x (sin.f64 x))) (-.f64 x (tan.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))) |
(+.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) 3)) |
(+.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 x)) 3) (pow.f64 (+.f64 x (tan.f64 x)) 3))) |
(+.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) |
(exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1)) |
(+.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))) |
(+.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x)))) |
(/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) |
Compiled 35737 to 13169 computations (63.2% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1478 | 4 | 1482 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 1479 | 12 | 1491 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.9b | (fma.f64 9/40 (*.f64 x x) -1/2) |
| ✓ | 32.5b | (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
| ✓ | 32.5b | (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))) |
| ▶ | 49.7b | (/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x)))) |
| ✓ | 34.1b | (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| ▶ | 29.9b | (-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1) |
| ▶ | 56.2b | (-.f64 6/5 (/.f64 3 (*.f64 x x))) |
| ▶ | 30.6b | (+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
| ▶ | 29.9b | (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) |
| ✓ | 32.6b | (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
| 33.8b | 1 | |
| 30.6b | -1/2 |
Compiled 161 to 116 computations (28% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) |
| ✓ | 0.2b | (*.f64 9/40 (*.f64 x x)) |
Compiled 19 to 10 computations (47.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 9/40 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 9/40 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) |
| 1× | batch-egg-rewrite |
| 1710× | add-sqr-sqrt |
| 1676× | *-un-lft-identity |
| 1580× | add-cube-cbrt |
| 1570× | add-cbrt-cube |
| 168× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 176 | 28 |
| 2 | 2147 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9/40 (*.f64 x x)) |
(+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 9/40 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 9/40 x) x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 9/40 x) x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 9/40 x) x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) 2) (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -1/4) (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (-.f64 1/4 (*.f64 (*.f64 x x) -9/80)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (-.f64 1/4 (*.f64 (*.f64 x x) -9/80))) (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -1/4) (fma.f64 9/40 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (-.f64 1/4 (*.f64 (*.f64 x x) -9/80))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 x x) -9/80))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 81/1600)) (-.f64 -1/2 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -1/4)) (neg.f64 (fma.f64 9/40 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (-.f64 1/4 (*.f64 (*.f64 x x) -9/80)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 9/40 x) x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 9/40 x) x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 9/40 x) x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 9/40 x) x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 9/40 x) x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 9/40 x) x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9/40 (*.f64 x x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9/40 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9/40 (*.f64 x x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9/40 x) x -1/2))))) |
| 1× | egg-herbie |
| 1598× | associate-/l* |
| 1298× | associate-*r* |
| 1046× | associate-*l* |
| 924× | associate-+r+ |
| 838× | associate-+l+ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 1596 |
| 1 | 275 | 1504 |
| 2 | 960 | 1460 |
| 3 | 4785 | 1340 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) 1) |
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2) |
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3) |
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9/40)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) |
(expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 9/40 (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 9/40 x) x -1/2))) 1) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(*.f64 (fma.f64 (*.f64 9/40 x) x -1/2) 1) |
(*.f64 1 (fma.f64 (*.f64 9/40 x) x -1/2)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2))) |
(*.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) 2) (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2))) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -1/4) (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(*.f64 (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (-.f64 1/4 (*.f64 (*.f64 x x) -9/80))))) |
(/.f64 1 (/.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -1/4))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (-.f64 1/4 (*.f64 (*.f64 x x) -9/80))) (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -1/4) (fma.f64 9/40 (*.f64 x x) 1/2)) |
(/.f64 (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (-.f64 1/4 (*.f64 (*.f64 x x) -9/80)))) |
(/.f64 (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 x x) -9/80)))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 81/1600)) (-.f64 -1/2 (*.f64 9/40 (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -1/4)) (neg.f64 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(/.f64 (neg.f64 (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (-.f64 1/4 (*.f64 (*.f64 x x) -9/80))))) |
(pow.f64 (fma.f64 (*.f64 9/40 x) x -1/2) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) 3) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -1/2) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -1/2) 2)) |
(log.f64 (exp.f64 (fma.f64 (*.f64 9/40 x) x -1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 9/40 x) x -1/2)))) |
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -1/2) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 9/40 x) x -1/2))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 9/40 x) x -1/2))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 9/40 x) x -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 x x) 9/40 -1/2) |
(fma.f64 1 (*.f64 9/40 (*.f64 x x)) -1/2) |
(fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) -1/2) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
| Outputs |
|---|
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) 1) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) |
(cbrt.f64 (*.f64 (pow.f64 x 6) 729/64000)) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9/40)) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x))))) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) |
(cbrt.f64 (*.f64 (pow.f64 x 6) 729/64000)) |
(expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x)))) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 9/40 (*.f64 x x))) 1)) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x)))) |
(*.f64 (*.f64 9/40 x) x) |
(*.f64 9/40 (*.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 9/40 x) x -1/2))) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) 1/2)) 81/1600) (/.f64 -1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) 1/2)) 81/1600 (/.f64 1/4 (fma.f64 (*.f64 x -9/40) x -1/2))) |
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 -1/4) (fma.f64 9/40 (*.f64 x x) 1/2)) |
(*.f64 (fma.f64 (*.f64 9/40 x) x -1/2) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(*.f64 1 (fma.f64 (*.f64 9/40 x) x -1/2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(*.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) 2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) 2) (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -1/4) (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) 1/2)) 81/1600) (/.f64 -1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) 1/2)) 81/1600 (/.f64 1/4 (fma.f64 (*.f64 x -9/40) x -1/2))) |
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 -1/4) (fma.f64 9/40 (*.f64 x x) 1/2)) |
(*.f64 (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (-.f64 1/4 (*.f64 (*.f64 x x) -9/80))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) -1/8) 1) (fma.f64 (pow.f64 x 4) 81/1600 (-.f64 1/4 (*.f64 x (*.f64 x -9/80))))) |
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 (pow.f64 x 4) 81/1600 (-.f64 1/4 (*.f64 (*.f64 x x) -9/80)))) |
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 (pow.f64 x 4) 81/1600 (fma.f64 x (*.f64 x 9/80) 1/4))) |
(/.f64 1 (/.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -1/4))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) 1/2)) 81/1600) (/.f64 -1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) 1/2)) 81/1600 (/.f64 1/4 (fma.f64 (*.f64 x -9/40) x -1/2))) |
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 -1/4) (fma.f64 9/40 (*.f64 x x) 1/2)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (-.f64 1/4 (*.f64 (*.f64 x x) -9/80))) (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) -1/8) 1) (fma.f64 (pow.f64 x 4) 81/1600 (-.f64 1/4 (*.f64 x (*.f64 x -9/80))))) |
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 (pow.f64 x 4) 81/1600 (-.f64 1/4 (*.f64 (*.f64 x x) -9/80)))) |
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 (pow.f64 x 4) 81/1600 (fma.f64 x (*.f64 x 9/80) 1/4))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -1/4) (fma.f64 9/40 (*.f64 x x) 1/2)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) 1/2)) 81/1600) (/.f64 -1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) 1/2)) 81/1600 (/.f64 1/4 (fma.f64 (*.f64 x -9/40) x -1/2))) |
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 -1/4) (fma.f64 9/40 (*.f64 x x) 1/2)) |
(/.f64 (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (-.f64 1/4 (*.f64 (*.f64 x x) -9/80)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) -1/8) 1) (fma.f64 (pow.f64 x 4) 81/1600 (-.f64 1/4 (*.f64 x (*.f64 x -9/80))))) |
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 (pow.f64 x 4) 81/1600 (-.f64 1/4 (*.f64 (*.f64 x x) -9/80)))) |
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 (pow.f64 x 4) 81/1600 (fma.f64 x (*.f64 x 9/80) 1/4))) |
(/.f64 (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 x x) -9/80)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) -1/8) 1) (fma.f64 (pow.f64 x 4) 81/1600 (-.f64 1/4 (*.f64 x (*.f64 x -9/80))))) |
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 (pow.f64 x 4) 81/1600 (-.f64 1/4 (*.f64 (*.f64 x x) -9/80)))) |
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 (pow.f64 x 4) 81/1600 (fma.f64 x (*.f64 x 9/80) 1/4))) |
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 81/1600)) (-.f64 -1/2 (*.f64 9/40 (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) 1/2)) 81/1600) (/.f64 -1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) 1/2)) 81/1600 (/.f64 1/4 (fma.f64 (*.f64 x -9/40) x -1/2))) |
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 -1/4) (fma.f64 9/40 (*.f64 x x) 1/2)) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -1/4)) (neg.f64 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) 1/2)) 81/1600) (/.f64 -1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) |
(fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) 1/2)) 81/1600 (/.f64 1/4 (fma.f64 (*.f64 x -9/40) x -1/2))) |
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 -1/4) (fma.f64 9/40 (*.f64 x x) 1/2)) |
(/.f64 (neg.f64 (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (-.f64 1/4 (*.f64 (*.f64 x x) -9/80))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) -1/8) 1) (fma.f64 (pow.f64 x 4) 81/1600 (-.f64 1/4 (*.f64 x (*.f64 x -9/80))))) |
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 (pow.f64 x 4) 81/1600 (-.f64 1/4 (*.f64 (*.f64 x x) -9/80)))) |
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 (pow.f64 x 4) 81/1600 (fma.f64 x (*.f64 x 9/80) 1/4))) |
(pow.f64 (fma.f64 (*.f64 9/40 x) x -1/2) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) 2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) 3) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -1/2) 3) 1/3) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -1/2) 2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(log.f64 (exp.f64 (fma.f64 (*.f64 9/40 x) x -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 9/40 x) x -1/2)))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -1/2) 3)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 9/40 x) x -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(exp.f64 (log.f64 (fma.f64 (*.f64 9/40 x) x -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) 1)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 9/40 x) x -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 x x) 9/40 -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 1 (*.f64 9/40 (*.f64 x x)) -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) -1/2) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 (*.f64 9/40 x) x)) -1/2) |
(fma.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 6/5 (/.f64 3 (*.f64 x x))) |
| ✓ | 0.6b | (/.f64 3 (*.f64 x x)) |
Compiled 19 to 10 computations (47.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 3 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 3 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 6/5 (/.f64 3 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (-.f64 6/5 (/.f64 3 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (-.f64 6/5 (/.f64 3 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 1862× | add-sqr-sqrt |
| 1822× | *-un-lft-identity |
| 1724× | add-cube-cbrt |
| 1714× | add-cbrt-cube |
| 174× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 181 | 32 |
| 2 | 2322 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 3 (*.f64 x x)) |
(-.f64 6/5 (/.f64 3 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 3 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 3) x) (/.f64 (sqrt.f64 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 3 (*.f64 x x))) (cbrt.f64 (/.f64 9 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 9 (pow.f64 x 4))) (cbrt.f64 (/.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 3) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 27 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 3 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 3 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 6/5 (*.f64 -3 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 6/5 (*.f64 (*.f64 -3 (pow.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (pow.f64 x -2)) 6/5)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) (sqrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) (pow.f64 (cbrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) 2) (cbrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 36/25 (/.f64 9 (pow.f64 x 4))) (/.f64 1 (+.f64 (/.f64 3 (*.f64 x x)) 6/5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 216/125 (/.f64 27 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 36/25 (+.f64 (/.f64 9 (pow.f64 x 4)) (*.f64 18/5 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 3 (*.f64 x x)) 6/5) (-.f64 36/25 (/.f64 9 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 36/25 (+.f64 (/.f64 9 (pow.f64 x 4)) (*.f64 18/5 (pow.f64 x -2)))) (-.f64 216/125 (/.f64 27 (pow.f64 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36/25 (/.f64 9 (pow.f64 x 4))) (+.f64 (/.f64 3 (*.f64 x x)) 6/5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 216/125 (/.f64 27 (pow.f64 (*.f64 x x) 3))) (+.f64 36/25 (+.f64 (/.f64 9 (pow.f64 x 4)) (*.f64 18/5 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36/25 (*.f64 (*.f64 -3 (pow.f64 x -2)) (*.f64 -3 (pow.f64 x -2)))) (-.f64 6/5 (*.f64 -3 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216/125 (pow.f64 (*.f64 -3 (pow.f64 x -2)) 3)) (+.f64 36/25 (-.f64 (*.f64 (*.f64 -3 (pow.f64 x -2)) (*.f64 -3 (pow.f64 x -2))) (*.f64 6/5 (*.f64 -3 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 36/25 (/.f64 9 (pow.f64 x 4)))) (neg.f64 (+.f64 (/.f64 3 (*.f64 x x)) 6/5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 216/125 (/.f64 27 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (+.f64 36/25 (+.f64 (/.f64 9 (pow.f64 x 4)) (*.f64 18/5 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))))))))) |
| 1× | egg-herbie |
| 1096× | distribute-lft-in |
| 994× | distribute-rgt-in |
| 964× | associate-/l/ |
| 760× | associate-/r/ |
| 734× | *-commutative |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 1707 |
| 1 | 333 | 1587 |
| 2 | 1210 | 1427 |
| 3 | 3682 | 1411 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 3 (pow.f64 x 2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 -3 (pow.f64 x 2)) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
6/5 |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
6/5 |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 3 (*.f64 x x)))) 1) |
(*.f64 3 (pow.f64 x -2)) |
(*.f64 (/.f64 3 (*.f64 x x)) 1) |
(*.f64 1 (/.f64 3 (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 3) x) (/.f64 (sqrt.f64 3) x)) |
(*.f64 (cbrt.f64 (/.f64 3 (*.f64 x x))) (cbrt.f64 (/.f64 9 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 9 (pow.f64 x 4))) (cbrt.f64 (/.f64 3 (*.f64 x x)))) |
(*.f64 (/.f64 3 x) (/.f64 1 x)) |
(*.f64 (pow.f64 x -2) 3) |
(*.f64 -3 (/.f64 1 (*.f64 x (neg.f64 x)))) |
(pow.f64 (/.f64 3 (*.f64 x x)) 1) |
(pow.f64 (/.f64 (sqrt.f64 3) x) 2) |
(pow.f64 (cbrt.f64 (/.f64 3 (*.f64 x x))) 3) |
(pow.f64 (*.f64 (*.f64 x x) 1/3) -1) |
(pow.f64 (/.f64 27 (pow.f64 (*.f64 x x) 3)) 1/3) |
(sqrt.f64 (/.f64 9 (pow.f64 x 4))) |
(log.f64 (exp.f64 (/.f64 3 (*.f64 x x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3 (*.f64 x x))))) |
(cbrt.f64 (/.f64 27 (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 3 (*.f64 x x)))) |
(exp.f64 (log.f64 (/.f64 3 (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 3 (*.f64 x x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 3 (*.f64 x x)))) |
(+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) |
(+.f64 6/5 (*.f64 (*.f64 -3 (pow.f64 x -2)) 1)) |
(+.f64 (*.f64 -3 (pow.f64 x -2)) 6/5) |
(*.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) 1) |
(*.f64 1 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) |
(*.f64 (sqrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) (sqrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))))) |
(*.f64 (cbrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) (pow.f64 (cbrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) 2) (cbrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))))) |
(*.f64 (-.f64 36/25 (/.f64 9 (pow.f64 x 4))) (/.f64 1 (+.f64 (/.f64 3 (*.f64 x x)) 6/5))) |
(*.f64 (-.f64 216/125 (/.f64 27 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 36/25 (+.f64 (/.f64 9 (pow.f64 x 4)) (*.f64 18/5 (pow.f64 x -2)))))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 3 (*.f64 x x)) 6/5) (-.f64 36/25 (/.f64 9 (pow.f64 x 4))))) |
(/.f64 1 (/.f64 (+.f64 36/25 (+.f64 (/.f64 9 (pow.f64 x 4)) (*.f64 18/5 (pow.f64 x -2)))) (-.f64 216/125 (/.f64 27 (pow.f64 (*.f64 x x) 3))))) |
(/.f64 (-.f64 36/25 (/.f64 9 (pow.f64 x 4))) (+.f64 (/.f64 3 (*.f64 x x)) 6/5)) |
(/.f64 (-.f64 216/125 (/.f64 27 (pow.f64 (*.f64 x x) 3))) (+.f64 36/25 (+.f64 (/.f64 9 (pow.f64 x 4)) (*.f64 18/5 (pow.f64 x -2))))) |
(/.f64 (-.f64 36/25 (*.f64 (*.f64 -3 (pow.f64 x -2)) (*.f64 -3 (pow.f64 x -2)))) (-.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) |
(/.f64 (+.f64 216/125 (pow.f64 (*.f64 -3 (pow.f64 x -2)) 3)) (+.f64 36/25 (-.f64 (*.f64 (*.f64 -3 (pow.f64 x -2)) (*.f64 -3 (pow.f64 x -2))) (*.f64 6/5 (*.f64 -3 (pow.f64 x -2)))))) |
(/.f64 (neg.f64 (-.f64 36/25 (/.f64 9 (pow.f64 x 4)))) (neg.f64 (+.f64 (/.f64 3 (*.f64 x x)) 6/5))) |
(/.f64 (neg.f64 (-.f64 216/125 (/.f64 27 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (+.f64 36/25 (+.f64 (/.f64 9 (pow.f64 x 4)) (*.f64 18/5 (pow.f64 x -2)))))) |
(pow.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) 1) |
(pow.f64 (sqrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) 3) |
(pow.f64 (pow.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) 2)) |
(log.f64 (exp.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))))) |
(cbrt.f64 (pow.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))))) |
(exp.f64 (log.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))))) |
| Outputs |
|---|
(/.f64 3 (pow.f64 x 2)) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(/.f64 3 (pow.f64 x 2)) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(/.f64 -3 (pow.f64 x 2)) |
(/.f64 -3 (*.f64 x x)) |
(*.f64 -3 (pow.f64 x -2)) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
6/5 |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
6/5 |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 3 (*.f64 x x)))) 1) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(*.f64 3 (pow.f64 x -2)) |
(/.f64 (/.f64 3 x) x) |
(*.f64 (/.f64 3 (*.f64 x x)) 1) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(*.f64 1 (/.f64 3 (*.f64 x x))) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 3) x) (/.f64 (sqrt.f64 3) x)) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (/.f64 3 (*.f64 x x))) (cbrt.f64 (/.f64 9 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) (cbrt.f64 (/.f64 9 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 3 (pow.f64 x -2))) (cbrt.f64 (/.f64 9 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 9 (pow.f64 x 4))) (cbrt.f64 (/.f64 3 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) (cbrt.f64 (/.f64 9 (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 3 (pow.f64 x -2))) (cbrt.f64 (/.f64 9 (pow.f64 x 4)))) |
(*.f64 (/.f64 3 x) (/.f64 1 x)) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) 3) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(*.f64 -3 (/.f64 1 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(pow.f64 (/.f64 3 (*.f64 x x)) 1) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 3) x) 2) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (/.f64 3 (*.f64 x x))) 3) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(pow.f64 (*.f64 (*.f64 x x) 1/3) -1) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(pow.f64 (/.f64 27 (pow.f64 (*.f64 x x) 3)) 1/3) |
(cbrt.f64 (/.f64 27 (pow.f64 (*.f64 x x) 3))) |
(cbrt.f64 (/.f64 27 (pow.f64 x 6))) |
(sqrt.f64 (/.f64 9 (pow.f64 x 4))) |
(log.f64 (exp.f64 (/.f64 3 (*.f64 x x)))) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3 (*.f64 x x))))) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(cbrt.f64 (/.f64 27 (pow.f64 (*.f64 x x) 3))) |
(cbrt.f64 (/.f64 27 (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (/.f64 3 (*.f64 x x)))) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(exp.f64 (log.f64 (/.f64 3 (*.f64 x x)))) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 3 (*.f64 x x))) 1)) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (/.f64 3 (*.f64 x x)))) |
(/.f64 (/.f64 3 x) x) |
(*.f64 3 (pow.f64 x -2)) |
(+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(+.f64 6/5 (*.f64 (*.f64 -3 (pow.f64 x -2)) 1)) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(+.f64 (*.f64 -3 (pow.f64 x -2)) 6/5) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(*.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) 1) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(*.f64 1 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(*.f64 (sqrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) (sqrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(*.f64 (cbrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) (pow.f64 (cbrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) 2)) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) 2) (cbrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(*.f64 (-.f64 36/25 (/.f64 9 (pow.f64 x 4))) (/.f64 1 (+.f64 (/.f64 3 (*.f64 x x)) 6/5))) |
(*.f64 (-.f64 36/25 (/.f64 9 (pow.f64 x 4))) (/.f64 1 (+.f64 6/5 (/.f64 (/.f64 3 x) x)))) |
(/.f64 (+.f64 36/25 (/.f64 -9 (pow.f64 x 4))) (+.f64 6/5 (*.f64 3 (pow.f64 x -2)))) |
(/.f64 (fma.f64 -9 (pow.f64 x -4) 36/25) (fma.f64 3 (pow.f64 x -2) 6/5)) |
(*.f64 (-.f64 216/125 (/.f64 27 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 36/25 (+.f64 (/.f64 9 (pow.f64 x 4)) (*.f64 18/5 (pow.f64 x -2)))))) |
(*.f64 (-.f64 216/125 (/.f64 27 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 36/25 (+.f64 (/.f64 9 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 18/5))))) |
(/.f64 (+.f64 216/125 (/.f64 -27 (pow.f64 x 6))) (+.f64 36/25 (fma.f64 (pow.f64 x -2) 18/5 (/.f64 9 (pow.f64 x 4))))) |
(/.f64 (+.f64 (/.f64 27 (pow.f64 x 6)) -216/125) (+.f64 (*.f64 (pow.f64 x -4) -9) (fma.f64 (pow.f64 x -2) -18/5 -36/25))) |
(/.f64 (+.f64 216/125 (/.f64 -27 (pow.f64 x 6))) (fma.f64 (pow.f64 x -2) 18/5 (fma.f64 9 (pow.f64 x -4) 36/25))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 3 (*.f64 x x)) 6/5) (-.f64 36/25 (/.f64 9 (pow.f64 x 4))))) |
(*.f64 (-.f64 36/25 (/.f64 9 (pow.f64 x 4))) (/.f64 1 (+.f64 6/5 (/.f64 (/.f64 3 x) x)))) |
(/.f64 (+.f64 36/25 (/.f64 -9 (pow.f64 x 4))) (+.f64 6/5 (*.f64 3 (pow.f64 x -2)))) |
(/.f64 (fma.f64 -9 (pow.f64 x -4) 36/25) (fma.f64 3 (pow.f64 x -2) 6/5)) |
(/.f64 1 (/.f64 (+.f64 36/25 (+.f64 (/.f64 9 (pow.f64 x 4)) (*.f64 18/5 (pow.f64 x -2)))) (-.f64 216/125 (/.f64 27 (pow.f64 (*.f64 x x) 3))))) |
(*.f64 (-.f64 216/125 (/.f64 27 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 36/25 (+.f64 (/.f64 9 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 18/5))))) |
(/.f64 (+.f64 216/125 (/.f64 -27 (pow.f64 x 6))) (+.f64 36/25 (fma.f64 (pow.f64 x -2) 18/5 (/.f64 9 (pow.f64 x 4))))) |
(/.f64 (+.f64 (/.f64 27 (pow.f64 x 6)) -216/125) (+.f64 (*.f64 (pow.f64 x -4) -9) (fma.f64 (pow.f64 x -2) -18/5 -36/25))) |
(/.f64 (+.f64 216/125 (/.f64 -27 (pow.f64 x 6))) (fma.f64 (pow.f64 x -2) 18/5 (fma.f64 9 (pow.f64 x -4) 36/25))) |
(/.f64 (-.f64 36/25 (/.f64 9 (pow.f64 x 4))) (+.f64 (/.f64 3 (*.f64 x x)) 6/5)) |
(*.f64 (-.f64 36/25 (/.f64 9 (pow.f64 x 4))) (/.f64 1 (+.f64 6/5 (/.f64 (/.f64 3 x) x)))) |
(/.f64 (+.f64 36/25 (/.f64 -9 (pow.f64 x 4))) (+.f64 6/5 (*.f64 3 (pow.f64 x -2)))) |
(/.f64 (fma.f64 -9 (pow.f64 x -4) 36/25) (fma.f64 3 (pow.f64 x -2) 6/5)) |
(/.f64 (-.f64 216/125 (/.f64 27 (pow.f64 (*.f64 x x) 3))) (+.f64 36/25 (+.f64 (/.f64 9 (pow.f64 x 4)) (*.f64 18/5 (pow.f64 x -2))))) |
(*.f64 (-.f64 216/125 (/.f64 27 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 36/25 (+.f64 (/.f64 9 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 18/5))))) |
(/.f64 (+.f64 216/125 (/.f64 -27 (pow.f64 x 6))) (+.f64 36/25 (fma.f64 (pow.f64 x -2) 18/5 (/.f64 9 (pow.f64 x 4))))) |
(/.f64 (+.f64 (/.f64 27 (pow.f64 x 6)) -216/125) (+.f64 (*.f64 (pow.f64 x -4) -9) (fma.f64 (pow.f64 x -2) -18/5 -36/25))) |
(/.f64 (+.f64 216/125 (/.f64 -27 (pow.f64 x 6))) (fma.f64 (pow.f64 x -2) 18/5 (fma.f64 9 (pow.f64 x -4) 36/25))) |
(/.f64 (-.f64 36/25 (*.f64 (*.f64 -3 (pow.f64 x -2)) (*.f64 -3 (pow.f64 x -2)))) (-.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) |
(*.f64 (-.f64 36/25 (/.f64 9 (pow.f64 x 4))) (/.f64 1 (+.f64 6/5 (/.f64 (/.f64 3 x) x)))) |
(/.f64 (+.f64 36/25 (/.f64 -9 (pow.f64 x 4))) (+.f64 6/5 (*.f64 3 (pow.f64 x -2)))) |
(/.f64 (fma.f64 -9 (pow.f64 x -4) 36/25) (fma.f64 3 (pow.f64 x -2) 6/5)) |
(/.f64 (+.f64 216/125 (pow.f64 (*.f64 -3 (pow.f64 x -2)) 3)) (+.f64 36/25 (-.f64 (*.f64 (*.f64 -3 (pow.f64 x -2)) (*.f64 -3 (pow.f64 x -2))) (*.f64 6/5 (*.f64 -3 (pow.f64 x -2)))))) |
(/.f64 (+.f64 216/125 (*.f64 -27 (pow.f64 (pow.f64 x -2) 3))) (+.f64 36/25 (*.f64 (*.f64 -3 (pow.f64 x -2)) (-.f64 (*.f64 -3 (pow.f64 x -2)) 6/5)))) |
(/.f64 (fma.f64 -27 (pow.f64 (pow.f64 x -2) 3) 216/125) (+.f64 36/25 (fma.f64 9 (pow.f64 x -4) (*.f64 (pow.f64 x -2) 18/5)))) |
(/.f64 (fma.f64 -27 (pow.f64 (/.f64 1 x) 6) 216/125) (fma.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) 9 18/5) 36/25)) |
(/.f64 (fma.f64 -27 (pow.f64 (/.f64 1 x) 6) 216/125) (fma.f64 (pow.f64 x -2) 18/5 (fma.f64 9 (pow.f64 x -4) 36/25))) |
(/.f64 (neg.f64 (-.f64 36/25 (/.f64 9 (pow.f64 x 4)))) (neg.f64 (+.f64 (/.f64 3 (*.f64 x x)) 6/5))) |
(*.f64 (-.f64 36/25 (/.f64 9 (pow.f64 x 4))) (/.f64 1 (+.f64 6/5 (/.f64 (/.f64 3 x) x)))) |
(/.f64 (+.f64 36/25 (/.f64 -9 (pow.f64 x 4))) (+.f64 6/5 (*.f64 3 (pow.f64 x -2)))) |
(/.f64 (fma.f64 -9 (pow.f64 x -4) 36/25) (fma.f64 3 (pow.f64 x -2) 6/5)) |
(/.f64 (neg.f64 (-.f64 216/125 (/.f64 27 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (+.f64 36/25 (+.f64 (/.f64 9 (pow.f64 x 4)) (*.f64 18/5 (pow.f64 x -2)))))) |
(*.f64 (-.f64 216/125 (/.f64 27 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 36/25 (+.f64 (/.f64 9 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 18/5))))) |
(/.f64 (+.f64 216/125 (/.f64 -27 (pow.f64 x 6))) (+.f64 36/25 (fma.f64 (pow.f64 x -2) 18/5 (/.f64 9 (pow.f64 x 4))))) |
(/.f64 (+.f64 (/.f64 27 (pow.f64 x 6)) -216/125) (+.f64 (*.f64 (pow.f64 x -4) -9) (fma.f64 (pow.f64 x -2) -18/5 -36/25))) |
(/.f64 (+.f64 216/125 (/.f64 -27 (pow.f64 x 6))) (fma.f64 (pow.f64 x -2) 18/5 (fma.f64 9 (pow.f64 x -4) 36/25))) |
(pow.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) 1) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(pow.f64 (sqrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) 2) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(pow.f64 (cbrt.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) 3) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(pow.f64 (pow.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) 3) 1/3) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(sqrt.f64 (pow.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) 2)) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(log.f64 (exp.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(cbrt.f64 (pow.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))) 3)) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(expm1.f64 (log1p.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(exp.f64 (log.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(exp.f64 (*.f64 (log.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2)))) 1)) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
(log1p.f64 (expm1.f64 (+.f64 6/5 (*.f64 -3 (pow.f64 x -2))))) |
(-.f64 6/5 (/.f64 (/.f64 3 x) x)) |
(+.f64 6/5 (/.f64 -3 (*.f64 x x))) |
(fma.f64 -3 (pow.f64 x -2) 6/5) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1) |
| 0.1b | (fma.f64 9/40 (*.f64 x x) -1/2) |
Compiled 32 to 20 computations (37.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1) |
| 1× | batch-egg-rewrite |
| 954× | associate-*r/ |
| 784× | *-commutative |
| 744× | associate-*l/ |
| 694× | distribute-lft-in |
| 656× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 1 | 237 | 15 |
| 2 | 2983 | 15 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (+.f64 (*.f64 9/40 (*.f64 x x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 9/40 (*.f64 x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9/40 (*.f64 x x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 9/40 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (+.f64 1 (*.f64 9/40 (*.f64 x x)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) -1) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 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| 1× | egg-herbie |
| 1420× | associate-*r/ |
| 1346× | associate-/r* |
| 1086× | associate-*l/ |
| 598× | associate--r+ |
| 574× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 260 | 5654 |
| 1 | 750 | 5412 |
| 2 | 3755 | 5412 |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(+.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)) |
(+.f64 -1/2 (*.f64 9/40 (*.f64 x x))) |
(+.f64 -1/2 (+.f64 (*.f64 9/40 (*.f64 x x)) 0)) |
(+.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 0) |
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) -1) |
(+.f64 0 (fma.f64 9/40 (*.f64 x x) -1/2)) |
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1) |
(+.f64 -1 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) |
(+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) |
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -3/2) |
(+.f64 (+.f64 -1 (*.f64 9/40 (*.f64 x x))) 1/2) |
(+.f64 (+.f64 -1 (+.f64 1 (*.f64 9/40 (*.f64 x x)))) -1/2) |
(*.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) |
(*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1) |
(*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) -1) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))) |
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(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3) |
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) -1) (neg.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)))) |
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))))) |
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) |
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))) |
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) -1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) -1) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2)) (cbrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) -1) |
| Outputs |
|---|
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(+.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(+.f64 -1/2 (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(+.f64 -1/2 (+.f64 (*.f64 9/40 (*.f64 x x)) 0)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 0) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) -1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(+.f64 0 (fma.f64 9/40 (*.f64 x x) -1/2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(+.f64 -1 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -3/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(+.f64 (+.f64 -1 (*.f64 9/40 (*.f64 x x))) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(+.f64 (+.f64 -1 (+.f64 1 (*.f64 9/40 (*.f64 x x)))) -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) -1) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2) (fma.f64 9/40 (*.f64 x x) 3/2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2) (fma.f64 (*.f64 9/40 x) x 3/2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x 1/2) (fma.f64 (*.f64 9/40 x) x 3/2)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2))) (-.f64 (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) 1)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) 1) (+.f64 1 (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)) (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) -1)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))) (+.f64 -1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2) (fma.f64 9/40 (*.f64 x x) 3/2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2) (fma.f64 (*.f64 9/40 x) x 3/2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x 1/2) (fma.f64 (*.f64 9/40 x) x 3/2)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) -1) (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) -1)) (fma.f64 9/40 (*.f64 x x) -1/2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) -1) (-.f64 1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2))) (neg.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) -1) (+.f64 1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3))) (+.f64 1 (*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2)) (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 3))) (+.f64 1 (*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (fma.f64 9/40 (*.f64 x x) 1/2)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2)) (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3))) (fma.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (fma.f64 (*.f64 9/40 x) x 1/2) 1)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2)) (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3))) (fma.f64 (fma.f64 (*.f64 9/40 x) x -1/2) (fma.f64 (*.f64 9/40 x) x 1/2) 1)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2)) (*.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)))) (-.f64 (*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) 1)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 3)) (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 4) (*.f64 (fma.f64 9/40 (*.f64 x x) 3/2) (fma.f64 9/40 (*.f64 x x) 3/2)))) (fma.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (fma.f64 9/40 (*.f64 x x) 1/2) -1)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (-.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 4) (*.f64 (fma.f64 (*.f64 9/40 x) x 3/2) (fma.f64 (*.f64 9/40 x) x 3/2)))) (fma.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (fma.f64 (*.f64 9/40 x) x 1/2) -1)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (-.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 4) (*.f64 (fma.f64 (*.f64 9/40 x) x 3/2) (fma.f64 (*.f64 9/40 x) x 3/2)))) (fma.f64 (fma.f64 (*.f64 9/40 x) x -1/2) (fma.f64 (*.f64 9/40 x) x 1/2) -1)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) 3) (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2)) (*.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2) (-.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2) (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2) 3) (pow.f64 (fma.f64 9/40 (*.f64 x x) 3/2) 3))) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 4) (*.f64 (fma.f64 9/40 (*.f64 x x) 3/2) (-.f64 (fma.f64 9/40 (*.f64 x x) 3/2) (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 3/2) 3) (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 6))) (fma.f64 (fma.f64 (*.f64 9/40 x) x 3/2) (-.f64 (fma.f64 (*.f64 9/40 x) x 3/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2)) (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 4))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (fma.f64 (fma.f64 (*.f64 9/40 x) x 3/2) (-.f64 (fma.f64 (*.f64 9/40 x) x 3/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2)) (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 4))) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 3/2) 3) (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 6))) |
(/.f64 1 (/.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2)) (*.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) -1)) (+.f64 -1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2) (fma.f64 9/40 (*.f64 x x) 3/2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2) (fma.f64 (*.f64 9/40 x) x 3/2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x 1/2) (fma.f64 (*.f64 9/40 x) x 3/2)))) |
(/.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) -1) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(/.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2) (/.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2) (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)) (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2) (fma.f64 9/40 (*.f64 x x) 3/2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2) (fma.f64 (*.f64 9/40 x) x 3/2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x 1/2) (fma.f64 (*.f64 9/40 x) x 3/2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2)) (*.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2) (fma.f64 9/40 (*.f64 x x) 3/2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2) (fma.f64 (*.f64 9/40 x) x 3/2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x 1/2) (fma.f64 (*.f64 9/40 x) x 3/2)))) |
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(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2)) (fma.f64 (*.f64 9/40 x) x -1/2)) (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) 3) 1) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))) (+.f64 (*.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2)) (+.f64 1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2) 3) -1) (*.f64 (fma.f64 9/40 (*.f64 x x) 3/2) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 4) (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 6)) (*.f64 (fma.f64 (*.f64 9/40 x) x 3/2) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 4) (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3) (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)))) (+.f64 1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 6) -1) (*.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2) (fma.f64 9/40 (*.f64 x x) 3/2)) (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 3)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 6)) (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2) (fma.f64 (*.f64 9/40 x) x 3/2)) (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 6)) (*.f64 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x 1/2) (fma.f64 (*.f64 9/40 x) x 3/2))) (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3) 3) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)))) (+.f64 (*.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3) (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)) (+.f64 1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 3) 3) -1) (*.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2) (fma.f64 9/40 (*.f64 x x) 3/2)) (+.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 3)) (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 6)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3) 3)) (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2) (fma.f64 (*.f64 9/40 x) x 3/2)) (+.f64 1 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3) (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 6))))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3) 3)) (*.f64 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x 1/2) (fma.f64 (*.f64 9/40 x) x 3/2))) (+.f64 1 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3) (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 6))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) -1) 1) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) -1) (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))) (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) -1) (*.f64 (cbrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)) (cbrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)))) (cbrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)) 1) (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2) (fma.f64 9/40 (*.f64 x x) 3/2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2) (fma.f64 (*.f64 9/40 x) x 3/2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x 1/2) (fma.f64 (*.f64 9/40 x) x 3/2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2) (fma.f64 9/40 (*.f64 x x) 3/2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2) (fma.f64 (*.f64 9/40 x) x 3/2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x 1/2) (fma.f64 (*.f64 9/40 x) x 3/2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)))) |
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2) (fma.f64 9/40 (*.f64 x x) 3/2)))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2) (fma.f64 (*.f64 9/40 x) x 3/2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x 1/2) (fma.f64 (*.f64 9/40 x) x 3/2)))) |
(pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) -1) (neg.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))))) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2) (fma.f64 9/40 (*.f64 x x) 3/2)))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (-.f64 (+.f64 -3/2 (*.f64 (*.f64 -9/40 x) x)) (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2))) |
(/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 3)) (+.f64 -3/2 (-.f64 (*.f64 (*.f64 -9/40 x) x) (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2)))) |
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) |
(fabs.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) |
(fabs.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) |
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(fma.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) -1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) -1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2)) (cbrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) -1) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2)) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) 1/2)) -1) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x 1/2) 2)) (cbrt.f64 (fma.f64 (*.f64 9/40 x) x 1/2)) -1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (*.f64 9/40 x) x) |
| 0.1b | (*.f64 -27/2800 (pow.f64 x 4)) | |
| ✓ | 0.2b | (*.f64 9/40 x) |
| ✓ | 14.0b | (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) |
Compiled 46 to 34 computations (26.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (*.f64 9/40 x) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) |
| 0.0ms | x | @ | -inf | (*.f64 9/40 x) |
| 0.0ms | x | @ | inf | (*.f64 9/40 x) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) |
| 1× | batch-egg-rewrite |
| 1004× | *-commutative |
| 794× | unswap-sqr |
| 632× | swap-sqr |
| 434× | distribute-lft-in |
| 428× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 47 |
| 1 | 241 | 47 |
| 2 | 2944 | 47 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 9/40 x) |
(*.f64 (*.f64 9/40 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) (-.f64 1 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) (-.f64 1 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)) 729/7840000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9/40 (*.f64 x x) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1444× | associate-/r* |
| 1192× | associate-*r/ |
| 940× | associate-*l/ |
| 478× | associate-*r* |
| 442× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 7475 |
| 1 | 866 | 6933 |
| 2 | 3714 | 6933 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 9/40 (pow.f64 x 2)) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) (-.f64 1 (*.f64 -27/2800 (pow.f64 x 4)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) (-.f64 1 (*.f64 9/40 (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)) 729/7840000))) |
(-.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))) 1) |
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))) 1) |
(*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1) |
(*.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) |
(*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) |
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) |
(*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))))) |
(*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000))) (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 19683/21952000000 (pow.f64 (pow.f64 x 4) 3)))) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (-.f64 (*.f64 6561/2560000 (pow.f64 x 8)) (pow.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 (pow.f64 x 4) 27/2800))) 2))) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 (pow.f64 x 4) 27/2800) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 (*.f64 x x) -9/40))))) |
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(fma.f64 1 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 (*.f64 (sqrt.f64 -27/2800) (*.f64 x x)) (*.f64 (sqrt.f64 -27/2800) (*.f64 x x)) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 729/7840000)) (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) (*.f64 9/40 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 x))) 1) |
(pow.f64 (*.f64 9/40 x) 1) |
(pow.f64 (sqrt.f64 (*.f64 9/40 x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 9/40 x)) 3) |
(pow.f64 (pow.f64 (*.f64 9/40 x) 3) 1/3) |
(sqrt.f64 (*.f64 81/1600 (*.f64 x x))) |
(log.f64 (pow.f64 (exp.f64 9/40) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 x)))) |
(cbrt.f64 (pow.f64 (*.f64 9/40 x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 9/40 x))) |
(exp.f64 (log.f64 (*.f64 9/40 x))) |
(log1p.f64 (expm1.f64 (*.f64 9/40 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) 1) |
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2) |
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) |
(log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x))))) |
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6)) |
(expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) (-.f64 1 (*.f64 -27/2800 (pow.f64 x 4)))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) 1) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) (-.f64 1 (*.f64 9/40 (*.f64 x x)))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)) 729/7840000))) |
(-.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)) 81/1600)) (*.f64 (/.f64 (pow.f64 x 8) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) 729/7840000)) |
(-.f64 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) 81/1600) (*.f64 729/7840000 (/.f64 (pow.f64 x 8) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))) |
(+.f64 (*.f64 (pow.f64 x 4) (/.f64 81/1600 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))) (*.f64 (/.f64 (pow.f64 x 8) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) -729/7840000)) |
(-.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 9/40 (*.f64 x x) (expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))) |
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))) 1) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(*.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2)) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))) |
(*.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))) |
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) |
(/.f64 (fma.f64 (pow.f64 x 4) -81/1600 (*.f64 (pow.f64 x 8) 729/7840000)) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (*.f64 x x) -9/40))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (/.f64 1 (fma.f64 (pow.f64 x 8) 729/7840000 (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 -27/2800 (*.f64 9/40 (*.f64 x x)))))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 x x) -243/112000)) (*.f64 (pow.f64 x 8) 729/7840000))) |
(*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000))) |
(*.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))) |
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) |
(/.f64 (fma.f64 (pow.f64 x 4) -81/1600 (*.f64 (pow.f64 x 8) 729/7840000)) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (*.f64 x x) -9/40))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (/.f64 1 (fma.f64 (pow.f64 x 8) 729/7840000 (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 -27/2800 (*.f64 9/40 (*.f64 x x)))))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 x x) -243/112000)) (*.f64 (pow.f64 x 8) 729/7840000))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000))) (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 19683/21952000000 (pow.f64 (pow.f64 x 4) 3)))) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 19683/21952000000))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 19683/21952000000 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6))) (fma.f64 -27/2800 (*.f64 (pow.f64 x 4) (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))) (*.f64 (pow.f64 x 4) 81/1600))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 -27/2800 (*.f64 (pow.f64 x 4) (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))) (*.f64 (pow.f64 x 4) 81/1600))) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 19683/21952000000 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (-.f64 (*.f64 6561/2560000 (pow.f64 x 8)) (pow.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 (pow.f64 x 4) 27/2800))) 2))) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 (pow.f64 x 4) 27/2800) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 (*.f64 x x) -9/40))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 4) (*.f64 27/2800 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x -9/40))))))) (-.f64 (*.f64 (pow.f64 x 8) 6561/2560000) (pow.f64 (fma.f64 (pow.f64 x 8) 729/7840000 (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 (pow.f64 x 4) 27/2800))) 2))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6)) (-.f64 (*.f64 (pow.f64 x 8) 6561/2560000) (pow.f64 (fma.f64 (pow.f64 x 8) 729/7840000 (*.f64 (pow.f64 x 4) (neg.f64 (*.f64 (*.f64 x x) -243/112000)))) 2))) (*.f64 (pow.f64 x 4) (+.f64 81/1600 (*.f64 27/2800 (fma.f64 x (*.f64 x -9/40) (*.f64 -27/2800 (pow.f64 x 4))))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6)) (*.f64 (pow.f64 x 4) (+.f64 81/1600 (*.f64 27/2800 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (*.f64 x x) -9/40)))))) (-.f64 (*.f64 (pow.f64 x 8) 6561/2560000) (pow.f64 (fma.f64 (pow.f64 x 8) 729/7840000 (*.f64 (pow.f64 x 4) (neg.f64 (*.f64 (*.f64 x x) -243/112000)))) 2))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 81/1600) 3) (pow.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 (pow.f64 x 4) 27/2800))) 3))) (+.f64 (*.f64 6561/2560000 (pow.f64 x 8)) (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 (pow.f64 x 4) 27/2800))) (-.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 (pow.f64 x 4) 27/2800))) (*.f64 (pow.f64 x 4) 81/1600))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 81/1600) 3) (pow.f64 (fma.f64 (pow.f64 x 8) 729/7840000 (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 (pow.f64 x 4) 27/2800))) 3))) (fma.f64 6561/2560000 (pow.f64 x 8) (*.f64 (fma.f64 (pow.f64 x 8) 729/7840000 (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 (pow.f64 x 4) 27/2800))) (-.f64 (fma.f64 (pow.f64 x 8) 729/7840000 (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 (pow.f64 x 4) 27/2800))) (*.f64 (pow.f64 x 4) 81/1600))))) |
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(fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 2) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)) |
(fma.f64 (*.f64 (sqrt.f64 -27/2800) (*.f64 x x)) (*.f64 (sqrt.f64 -27/2800) (*.f64 x x)) (*.f64 9/40 (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) (*.f64 9/40 (*.f64 x x))) |
(+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 (pow.f64 x 4) (*.f64 (sqrt.f64 -27/2800) (sqrt.f64 -27/2800)))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 729/7840000)) (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) (*.f64 9/40 (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 x))) 1) |
(*.f64 9/40 x) |
(pow.f64 (*.f64 9/40 x) 1) |
(*.f64 9/40 x) |
(pow.f64 (sqrt.f64 (*.f64 9/40 x)) 2) |
(*.f64 9/40 x) |
(pow.f64 (cbrt.f64 (*.f64 9/40 x)) 3) |
(*.f64 9/40 x) |
(pow.f64 (pow.f64 (*.f64 9/40 x) 3) 1/3) |
(*.f64 9/40 x) |
(sqrt.f64 (*.f64 81/1600 (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 x x) 81/1600)) |
(log.f64 (pow.f64 (exp.f64 9/40) x)) |
(*.f64 9/40 x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 x)))) |
(*.f64 9/40 x) |
(cbrt.f64 (pow.f64 (*.f64 9/40 x) 3)) |
(*.f64 9/40 x) |
(expm1.f64 (log1p.f64 (*.f64 9/40 x))) |
(*.f64 9/40 x) |
(exp.f64 (log.f64 (*.f64 9/40 x))) |
(*.f64 9/40 x) |
(log1p.f64 (expm1.f64 (*.f64 9/40 x))) |
(*.f64 9/40 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) 1) |
(*.f64 9/40 (*.f64 x x)) |
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1) |
(*.f64 9/40 (*.f64 x x)) |
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2) |
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3) |
(*.f64 9/40 (*.f64 x x)) |
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) 1/3) |
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6)) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) |
(log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))) |
(*.f64 9/40 (*.f64 x x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x))))) |
(*.f64 9/40 (*.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6)) |
(expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) |
(*.f64 9/40 (*.f64 x x)) |
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x)))) |
(*.f64 9/40 (*.f64 x x)) |
(log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x)))) |
(*.f64 9/40 (*.f64 x x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x)))) |
| ✓ | 1.3b | (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x))) |
| 2.0b | (-.f64 (tan.f64 x) x) | |
| 2.1b | (-.f64 (sin.f64 x) x) |
Compiled 36 to 8 computations (77.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x)))) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x)))) |
| 0.0ms | x | @ | 0 | (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x))) |
| 0.0ms | x | @ | inf | (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x))) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x)))) |
| 1× | batch-egg-rewrite |
| 1718× | associate-/r* |
| 1604× | associate-/l* |
| 990× | associate-/r/ |
| 622× | associate-/l/ |
| 248× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 1 | 245 | 38 |
| 2 | 3369 | 38 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x))) |
(/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x)))) |
| Outputs |
|---|
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(sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))))) |
| 1× | egg-herbie |
| 844× | associate-*r* |
| 770× | distribute-lft-in |
| 760× | associate-/r* |
| 724× | associate-*l* |
| 678× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 586 | 11062 |
| 1 | 1921 | 10642 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5))))) |
(*.f64 -1 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) |
(+.f64 (tan.f64 x) (neg.f64 x)) |
(+.f64 (tan.f64 x) (*.f64 (neg.f64 x) 1)) |
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (tan.f64 x) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (tan.f64 x) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (tan.f64 x) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (-.f64 (tan.f64 x) x) 0) |
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 1 (+.f64 (-.f64 (tan.f64 x) x) -1)) |
(+.f64 1 (-.f64 (-.f64 (tan.f64 x) x) 1)) |
(+.f64 (-.f64 (tan.f64 x) (-.f64 x 1)) -1) |
(+.f64 (-.f64 (tan.f64 x) (-.f64 x 1)) (+.f64 -1 (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (-.f64 (tan.f64 x) (-.f64 x 1)) (+.f64 -1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (-.f64 (tan.f64 x) (-.f64 x 1)) (+.f64 -1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (neg.f64 x) (tan.f64 x)) |
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
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(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (*.f64 (-.f64 (tan.f64 x) (-.f64 x 1)) (-.f64 (tan.f64 x) (-.f64 x 1))) 1)) (+.f64 (-.f64 (tan.f64 x) x) 2)) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (tan.f64 x) (neg.f64 x)))) |
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (-.f64 (tan.f64 x) (-.f64 x 1)) 3) 1)) (+.f64 (+.f64 (*.f64 (-.f64 (tan.f64 x) (-.f64 x 1)) (-.f64 (tan.f64 x) (-.f64 x 1))) 1) (*.f64 (-.f64 (tan.f64 x) (-.f64 x 1)) 1))) |
(*.f64 (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (-.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (-.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (tan.f64 x) x))) (+.f64 x (tan.f64 x))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 x (tan.f64 x)))) |
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3) |
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1) |
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
| Outputs |
|---|
(*.f64 1/3 (pow.f64 x 3)) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))) |
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) |
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) |
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5))))) |
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 2/15 (pow.f64 x 5))))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x)) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x)) |
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) -1/2)) |
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2) |
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -1/2)) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(+.f64 1 (*.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))) |
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x 3) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))) |
(+.f64 1 (*.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))) |
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x 3) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))))) |
(+.f64 (tan.f64 x) (neg.f64 x)) |
(-.f64 (tan.f64 x) x) |
(+.f64 (tan.f64 x) (*.f64 (neg.f64 x) 1)) |
(-.f64 (tan.f64 x) x) |
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (+.f64 (neg.f64 x) x) (-.f64 (tan.f64 x) x)) |
(+.f64 (tan.f64 x) (-.f64 (*.f64 0 x) x)) |
(+.f64 (tan.f64 x) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (+.f64 (neg.f64 x) x) (-.f64 (tan.f64 x) x)) |
(+.f64 (tan.f64 x) (-.f64 (*.f64 0 x) x)) |
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x)) |
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(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (-.f64 (sin.f64 x) x)) |
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (tan.f64 x) x)) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (-.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (tan.f64 x) x)) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (-.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (*.f64 x x) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (*.f64 x x) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3)) (/.f64 1 (-.f64 (tan.f64 x) x)))) (+.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (tan.f64 x) x)) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3))) (+.f64 (pow.f64 (sin.f64 x) 4) (*.f64 x (*.f64 (+.f64 x (sin.f64 x)) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (sqrt.f64 (-.f64 (tan.f64 x) x))))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x)))) |
(*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (sqrt.f64 (-.f64 (tan.f64 x) x))))) |
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))) |
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x)))) |
(/.f64 (*.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (+.f64 x (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (cbrt.f64 (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x)))) |
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x))) |
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))) |
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (tan.f64 x) x))) (+.f64 x (tan.f64 x))) |
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))) |
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (+.f64 x (tan.f64 x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 x (tan.f64 x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) |
(*.f64 (+.f64 x (tan.f64 x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))) |
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x)))) |
(/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (tan.f64 x) x))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1)) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
Compiled 29508 to 15824 computations (46.4% saved)
13 alts after pruning (5 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1159 | 3 | 1162 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 7 | 9 |
| Total | 1161 | 13 | 1174 |
| Status | Error | Program |
|---|---|---|
| ✓ | 32.5b | (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
| ✓ | 32.5b | (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))) |
| ✓ | 49.7b | (/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x)))) |
| ✓ | 34.1b | (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| ✓ | 56.2b | (-.f64 6/5 (/.f64 3 (*.f64 x x))) |
| ✓ | 30.6b | (+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
| ▶ | 29.9b | (+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1) |
| ▶ | 30.6b | (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) |
| ✓ | 29.9b | (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) |
| ✓ | 32.6b | (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
| 56.6b | 6/5 | |
| 33.8b | 1 | |
| 30.6b | -1/2 |
Compiled 116 to 81 computations (30.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40) |
| ✓ | 0.1b | (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) |
| ✓ | 0.4b | (*.f64 -27/2800 (*.f64 x x)) |
Compiled 44 to 23 computations (47.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) |
| 0.0ms | x | @ | inf | (*.f64 -27/2800 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 -27/2800 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) |
| 1× | batch-egg-rewrite |
| 950× | *-commutative |
| 762× | unswap-sqr |
| 632× | associate-*r/ |
| 588× | swap-sqr |
| 440× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 55 |
| 1 | 204 | 55 |
| 2 | 2653 | 55 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -27/2800 (*.f64 x x)) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) |
(+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -27/2800 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -27/2800)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -27/2800 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 729/7840000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -27/2800) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) -19683/21952000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -27/2800 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -27/2800 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 1 (fma.f64 -27/2800 (*.f64 x x) 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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-27/2800 (*.f64 x x) 9/40) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (+.f64 (*.f64 (*.f64 x x) 27/2800) 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -27/2800 (*.f64 x x) 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -27/2800 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -27/2800 (*.f64 x x)) 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -27/2800)) (*.f64 x (sqrt.f64 -27/2800)) 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729/7840000)) (cbrt.f64 (*.f64 -27/2800 (*.f64 x x))) 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -27/2800 x) x 9/40))))) |
| 1× | egg-herbie |
| 1598× | associate-*r/ |
| 1224× | associate-*l/ |
| 1038× | associate-/r/ |
| 658× | associate-*r* |
| 602× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 417 | 8312 |
| 1 | 1157 | 7608 |
| 2 | 4821 | 7602 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 9/40 (pow.f64 x 2)) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(*.f64 -27/2800 (pow.f64 x 4)) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) |
9/40 |
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2))) |
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2))) |
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2))) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2))) |
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2))) |
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2))) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2))) |
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2))) |
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) 1) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) 1)) |
(pow.f64 (*.f64 -27/2800 (*.f64 x x)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 -27/2800)) 2) |
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (*.f64 x x))) 3) |
(pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 729/7840000)) |
(log.f64 (pow.f64 (exp.f64 -27/2800) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (*.f64 x x))))) |
(cbrt.f64 (*.f64 (pow.f64 x 6) -19683/21952000000)) |
(expm1.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -27/2800 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (*.f64 x x)))) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 x (*.f64 x 9/40))) |
(+.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 -27/2800 (pow.f64 x 4))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) 1) |
(/.f64 (*.f64 x x) (/.f64 1 (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) (*.f64 x x))) |
(/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (fma.f64 -27/2800 (*.f64 x x) -9/40)) |
(/.f64 (-.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600)) (*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) -9/40))) |
(/.f64 (+.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x 9/40)) 3)) (-.f64 (+.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600)) (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 x (*.f64 x 9/40))))) |
(/.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (fma.f64 -27/2800 (*.f64 x x) -9/40)) |
(/.f64 (*.f64 x (*.f64 x (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)))) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 81/1600 (*.f64 -729/7840000 (pow.f64 x 4)))) (+.f64 9/40 (*.f64 (*.f64 x x) 27/2800))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 729/7840000)) 81/1600)) (+.f64 (*.f64 (*.f64 x x) 27/2800) 9/40)) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 -729/64000 (neg.f64 (*.f64 (pow.f64 x 6) -19683/21952000000)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) |
(/.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (fma.f64 -27/2800 (*.f64 x x) -9/40)) |
(/.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)))) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600))) (*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) -9/40))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x 9/40)) 3))) (-.f64 (+.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600)) (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 x (*.f64 x 9/40))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) (sqrt.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2)) (cbrt.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) |
(/.f64 (*.f64 (+.f64 81/1600 (*.f64 -729/7840000 (pow.f64 x 4))) (*.f64 x x)) (+.f64 9/40 (*.f64 (*.f64 x x) 27/2800))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 729/7840000)) 81/1600) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 27/2800) 9/40)) |
(/.f64 (*.f64 (+.f64 -729/64000 (neg.f64 (*.f64 (pow.f64 x 6) -19683/21952000000))) (*.f64 x x)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) 1) (fma.f64 -27/2800 (*.f64 x x) -9/40)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))) 1) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))) |
(/.f64 (*.f64 (-.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600)) 1) (*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) -9/40))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x 9/40)) 3)) 1) (-.f64 (+.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600)) (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 x (*.f64 x 9/40))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) x) (fma.f64 -27/2800 (*.f64 x x) -9/40)) |
(/.f64 (*.f64 (*.f64 x (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))) x) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) 1) (fma.f64 -27/2800 (*.f64 x x) -9/40)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40))) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (*.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40)) (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40)))) (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))) 1) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 729/7840000 (pow.f64 x 8))) (-.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) 1)) |
(pow.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) 1) |
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) 4)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 3) (pow.f64 x 6))) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) |
(fma.f64 (*.f64 x x) (*.f64 -27/2800 (*.f64 x x)) (*.f64 x (*.f64 x 9/40))) |
(fma.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 x x) (*.f64 x (*.f64 x 9/40))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) 31/40) |
(-.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) 729/7840000)) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40))) |
(-.f64 (+.f64 9/40 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x))))) 1) |
(*.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 1) |
(*.f64 1 (fma.f64 -27/2800 (*.f64 x x) 9/40)) |
(*.f64 (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(*.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2) (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (/.f64 1 (fma.f64 -27/2800 (*.f64 x x) -9/40))) |
(*.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) |
(*.f64 (+.f64 81/1600 (*.f64 -729/7840000 (pow.f64 x 4))) (/.f64 1 (+.f64 9/40 (*.f64 (*.f64 x x) 27/2800)))) |
(*.f64 (/.f64 1 (fma.f64 -27/2800 (*.f64 x x) -9/40)) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))) (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))) |
(*.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 729/7840000)) 81/1600) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 27/2800) 9/40))) |
(*.f64 (+.f64 -729/64000 (neg.f64 (*.f64 (pow.f64 x 6) -19683/21952000000))) (/.f64 1 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (fma.f64 -27/2800 (*.f64 x x) 9/40)) |
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) -729/64000)) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) -243/112000)))) |
(*.f64 (/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (-.f64 (*.f64 531441/61465600000000 (pow.f64 x 8)) (pow.f64 (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)) 2))) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (*.f64 (*.f64 x x) -243/112000))) |
(*.f64 (/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 729/7840000) 3) (pow.f64 (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)) 3))) (+.f64 (*.f64 531441/61465600000000 (pow.f64 x 8)) (*.f64 (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)) (-.f64 (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)) (*.f64 (pow.f64 x 4) 729/7840000))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) (sqrt.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))) (*.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) (sqrt.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 3) 1/6)) |
(/.f64 1 (/.f64 1 (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (fma.f64 -27/2800 (*.f64 x x) -9/40)) |
(/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)))) |
(/.f64 (sqrt.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))) (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))) (sqrt.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))) (cbrt.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)))) (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))) (cbrt.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 2) -531441/4096000000) (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))) (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) -729/64000))) |
(/.f64 (+.f64 81/1600 (*.f64 -729/7840000 (pow.f64 x 4))) (+.f64 9/40 (*.f64 (*.f64 x x) 27/2800))) |
(/.f64 (+.f64 (*.f64 531441/61465600000000 (pow.f64 x 8)) -6561/2560000) (*.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) 81/1600))) |
(/.f64 (+.f64 387420489/262144000000000 (pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 3)) (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 2) (-.f64 531441/4096000000 (*.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 729/7840000) 3) -531441/4096000000) (*.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) (+.f64 (+.f64 (*.f64 531441/61465600000000 (pow.f64 x 8)) 6561/2560000) (*.f64 (pow.f64 x 4) 59049/12544000000)))) |
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 729/7840000)) 81/1600) (+.f64 (*.f64 (*.f64 x x) 27/2800) 9/40)) |
(/.f64 (+.f64 -729/64000 (neg.f64 (*.f64 (pow.f64 x 6) -19683/21952000000))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) |
(/.f64 (*.f64 1 (+.f64 81/1600 (*.f64 -729/7840000 (pow.f64 x 4)))) (+.f64 9/40 (*.f64 (*.f64 x x) 27/2800))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) (sqrt.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2) (cbrt.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) |
(/.f64 (*.f64 (+.f64 81/1600 (*.f64 -729/7840000 (pow.f64 x 4))) 1) (+.f64 9/40 (*.f64 (*.f64 x x) 27/2800))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 729/7840000)) 81/1600) 1) (+.f64 (*.f64 (*.f64 x x) 27/2800) 9/40)) |
(/.f64 (*.f64 (+.f64 -729/64000 (neg.f64 (*.f64 (pow.f64 x 6) -19683/21952000000))) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2)) (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))) (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) |
(/.f64 (*.f64 (+.f64 (*.f64 531441/61465600000000 (pow.f64 x 8)) -6561/2560000) (/.f64 1 (fma.f64 -27/2800 (*.f64 x x) -9/40))) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) 81/1600)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 729/7840000) 3) -531441/4096000000) (/.f64 1 (fma.f64 -27/2800 (*.f64 x x) -9/40))) (+.f64 (+.f64 (*.f64 531441/61465600000000 (pow.f64 x 8)) 6561/2560000) (*.f64 (pow.f64 x 4) 59049/12544000000))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 2) -531441/4096000000) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) -729/64000)) |
(/.f64 (*.f64 (+.f64 387420489/262144000000000 (pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 2) (-.f64 531441/4096000000 (*.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) 1) (fma.f64 -27/2800 (*.f64 x x) -9/40)) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40))) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (*.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40)) (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40)))) (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40))) |
(/.f64 (/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) 1) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))) |
(/.f64 (/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) |
(/.f64 (/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) (exp.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) 1)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) 729/7840000)) (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) 729/7840000))) (*.f64 (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) 729/7840000)) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)))) |
(pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 3) |
(pow.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (+.f64 (*.f64 (*.f64 x x) 27/2800) 9/40))) |
(neg.f64 (/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))))) |
(sqrt.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 2)) |
(log.f64 (exp.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))) |
(cbrt.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(exp.f64 (log.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(log1p.f64 (expm1.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(fma.f64 -27/2800 (*.f64 x x) 9/40) |
(fma.f64 (*.f64 x x) -27/2800 9/40) |
(fma.f64 1 (*.f64 -27/2800 (*.f64 x x)) 9/40) |
(fma.f64 (*.f64 x (sqrt.f64 -27/2800)) (*.f64 x (sqrt.f64 -27/2800)) 9/40) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729/7840000)) (cbrt.f64 (*.f64 -27/2800 (*.f64 x x))) 9/40) |
(fma.f64 (*.f64 -27/2800 x) x 9/40) |
| Outputs |
|---|
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (*.f64 x x)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (*.f64 x x)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (*.f64 x x)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (*.f64 x x)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (*.f64 x x)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (*.f64 x x)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (*.f64 x x)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (*.f64 x x)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (*.f64 x x)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (*.f64 x x)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (*.f64 x x)) |
(*.f64 -27/2800 (pow.f64 x 2)) |
(*.f64 -27/2800 (*.f64 x x)) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 9/40)) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) |
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40)) |
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2))) |
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) |
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40)) |
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) 729/7840000)) (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) 729/7840000))) (*.f64 (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) 729/7840000)) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 -27/2800 (*.f64 x x) -9/40)) 729/7840000) (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 -27/2800 (*.f64 x x) -9/40)) 729/7840000)) (*.f64 (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)))) (+.f64 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 -27/2800 (*.f64 x x) -9/40)) 729/7840000) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) 729/7840000)) (fma.f64 -27/2800 (*.f64 x x) -9/40)) 729/7840000) (/.f64 (/.f64 6561/2560000 (fma.f64 -27/2800 (*.f64 x x) -9/40)) (fma.f64 -27/2800 (*.f64 x x) -9/40))) (fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 -27/2800 (*.f64 x x) -9/40)) 729/7840000 (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)))) |
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x 8) (fma.f64 -27/2800 (*.f64 x x) -9/40)) (fma.f64 -27/2800 (*.f64 x x) -9/40)) 531441/61465600000000) (/.f64 (/.f64 -6561/2560000 (fma.f64 -27/2800 (*.f64 x x) -9/40)) (fma.f64 -27/2800 (*.f64 x x) -9/40))) (fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 -27/2800 (*.f64 x x) -9/40)) 729/7840000 (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)))) |
(pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 1) |
(fma.f64 -27/2800 (*.f64 x x) 9/40) |
(pow.f64 (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2) |
(fma.f64 -27/2800 (*.f64 x x) 9/40) |
(pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 3) |
(fma.f64 -27/2800 (*.f64 x x) 9/40) |
(pow.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 3) 1/3) |
(fma.f64 -27/2800 (*.f64 x x) 9/40) |
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (+.f64 (*.f64 (*.f64 x x) 27/2800) 9/40))) |
(/.f64 (+.f64 81/1600 (*.f64 (pow.f64 x 4) -729/7840000)) (fma.f64 (*.f64 x x) 27/2800 9/40)) |
(/.f64 (fma.f64 (pow.f64 x 4) -729/7840000 81/1600) (fma.f64 x (*.f64 x 27/2800) 9/40)) |
(neg.f64 (/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))))) |
(/.f64 (+.f64 -729/64000 (*.f64 (pow.f64 x 6) 19683/21952000000)) (neg.f64 (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 x (*.f64 x 243/112000))))) |
(/.f64 (fma.f64 (pow.f64 x 6) 19683/21952000000 -729/64000) (-.f64 (*.f64 (pow.f64 x 4) -729/7840000) (fma.f64 x (*.f64 x 243/112000) 81/1600))) |
(sqrt.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 2)) |
(fabs.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) |
(log.f64 (exp.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(fma.f64 -27/2800 (*.f64 x x) 9/40) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))) |
(fma.f64 -27/2800 (*.f64 x x) 9/40) |
(cbrt.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 3)) |
(fma.f64 -27/2800 (*.f64 x x) 9/40) |
(expm1.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(fma.f64 -27/2800 (*.f64 x x) 9/40) |
(exp.f64 (log.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(fma.f64 -27/2800 (*.f64 x x) 9/40) |
(log1p.f64 (expm1.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) |
(fma.f64 -27/2800 (*.f64 x x) 9/40) |
(fma.f64 -27/2800 (*.f64 x x) 9/40) |
(fma.f64 (*.f64 x x) -27/2800 9/40) |
(fma.f64 -27/2800 (*.f64 x x) 9/40) |
(fma.f64 1 (*.f64 -27/2800 (*.f64 x x)) 9/40) |
(fma.f64 -27/2800 (*.f64 x x) 9/40) |
(fma.f64 (*.f64 x (sqrt.f64 -27/2800)) (*.f64 x (sqrt.f64 -27/2800)) 9/40) |
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 -27/2800)) 2) 9/40) |
(+.f64 9/40 (pow.f64 (*.f64 x (sqrt.f64 -27/2800)) 2)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729/7840000)) (cbrt.f64 (*.f64 -27/2800 (*.f64 x x))) 9/40) |
(fma.f64 (*.f64 -27/2800 x) x 9/40) |
(fma.f64 -27/2800 (*.f64 x x) 9/40) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1) |
| 0.2b | (*.f64 9/40 (*.f64 x x)) |
Compiled 29 to 17 computations (41.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1) |
| 0.0ms | x | @ | 0 | (+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1) |
| 0.0ms | x | @ | -inf | (+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1) |
| 1× | batch-egg-rewrite |
| 862× | *-commutative |
| 778× | associate-*r/ |
| 644× | associate-*l/ |
| 598× | unswap-sqr |
| 518× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 19 |
| 1 | 222 | 15 |
| 2 | 2771 | 15 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 3/2)) (-.f64 (/.f64 9/4 (fma.f64 9/40 (*.f64 x x) 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 3/2))) (/.f64 9/4 (fma.f64 9/40 (*.f64 x x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/2 (exp.f64 (log1p.f64 (*.f64 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| 1× | egg-herbie |
| 1320× | associate-*r/ |
| 1274× | associate-/r* |
| 984× | *-commutative |
| 674× | associate-*l/ |
| 610× | unswap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 282 | 5228 |
| 1 | 746 | 4860 |
| 2 | 2876 | 4860 |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(-.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 0) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) 3/2) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) 1) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 3/2)) (-.f64 (/.f64 9/4 (fma.f64 9/40 (*.f64 x x) 3/2)) 1)) |
(-.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 1) |
(-.f64 (+.f64 1 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 3/2))) (/.f64 9/4 (fma.f64 9/40 (*.f64 x x) 3/2))) |
(-.f64 (+.f64 -1/2 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))) 1) |
(*.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) |
(*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1) |
(*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2))) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2))))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1)) |
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))) (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1)) (fma.f64 9/40 (*.f64 x x) -1/2)) |
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)) 2) (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)) 1) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
| Outputs |
|---|
-1/2 |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 9/40 (pow.f64 x 2)) |
(*.f64 9/40 (*.f64 x x)) |
(*.f64 x (*.f64 9/40 x)) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 0) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) 3/2) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) -3/2) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 9/40 x)))) -3/2) |
(+.f64 -1/2 (expm1.f64 (log1p.f64 (*.f64 x (*.f64 9/40 x))))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 3/2)) (-.f64 (/.f64 9/4 (fma.f64 9/40 (*.f64 x x) 3/2)) 1)) |
(+.f64 (-.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 9/40 (*.f64 x x) 3/2) 81/1600)) (/.f64 9/4 (fma.f64 9/40 (*.f64 x x) 3/2))) 1) |
(+.f64 (/.f64 81/1600 (/.f64 (fma.f64 (*.f64 9/40 x) x 3/2) (pow.f64 x 4))) (-.f64 1 (/.f64 9/4 (fma.f64 (*.f64 9/40 x) x 3/2)))) |
(+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 (*.f64 9/40 x) x 3/2) 81/1600)) (+.f64 1 (/.f64 -9/4 (fma.f64 (*.f64 9/40 x) x 3/2)))) |
(-.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(-.f64 (+.f64 1 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 3/2))) (/.f64 9/4 (fma.f64 9/40 (*.f64 x x) 3/2))) |
(+.f64 (-.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 9/40 (*.f64 x x) 3/2) 81/1600)) (/.f64 9/4 (fma.f64 9/40 (*.f64 x x) 3/2))) 1) |
(+.f64 (/.f64 81/1600 (/.f64 (fma.f64 (*.f64 9/40 x) x 3/2) (pow.f64 x 4))) (-.f64 1 (/.f64 9/4 (fma.f64 (*.f64 9/40 x) x 3/2)))) |
(+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 (*.f64 9/40 x) x 3/2) 81/1600)) (+.f64 1 (/.f64 -9/4 (fma.f64 (*.f64 9/40 x) x 3/2)))) |
(-.f64 (+.f64 -1/2 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))) 1) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) -3/2) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 9/40 x)))) -3/2) |
(+.f64 -1/2 (expm1.f64 (log1p.f64 (*.f64 x (*.f64 9/40 x))))) |
(*.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) 1) (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (fma.f64 9/40 (*.f64 x x) -5/2)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)) (fma.f64 (fma.f64 9/40 (*.f64 x x) -3/2) (fma.f64 9/40 (*.f64 x x) -5/2) 1)) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (fma.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (fma.f64 (*.f64 9/40 x) x -5/2) 1)) |
(*.f64 (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))) (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) 1) (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (fma.f64 9/40 (*.f64 x x) -5/2)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)) (fma.f64 (fma.f64 9/40 (*.f64 x x) -3/2) (fma.f64 9/40 (*.f64 x x) -5/2) 1)) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (fma.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (fma.f64 (*.f64 9/40 x) x -5/2) 1)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1)) (fma.f64 9/40 (*.f64 x x) -1/2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)) (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2))) (fma.f64 9/40 (*.f64 x x) -1/2)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (-.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3) 1)) (+.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3) -1)) (+.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) -1) (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3))) (+.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (+.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3))) (+.f64 (fma.f64 (*.f64 9/40 x) x -1/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (-.f64 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (*.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2) (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2)))) (-.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (-.f64 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (*.f64 (fma.f64 (*.f64 x x) -9/40 5/2) (fma.f64 (*.f64 x x) -9/40 5/2)))) (-.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) (fma.f64 (*.f64 x x) -9/40 5/2))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)) (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 4) (*.f64 (fma.f64 x (*.f64 x -9/40) 5/2) (fma.f64 x (*.f64 x -9/40) 5/2)))) (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) (fma.f64 x (*.f64 x -9/40) 5/2))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) (fma.f64 (*.f64 9/40 x) x -5/2))) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 4) (*.f64 (fma.f64 (*.f64 9/40 x) x -5/2) (fma.f64 x (*.f64 x -9/40) 5/2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) 3) (pow.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2) 3))) (+.f64 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (*.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2) (-.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) 3) (pow.f64 (fma.f64 (*.f64 x x) -9/40 5/2) 3))) (fma.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3) (*.f64 (fma.f64 (*.f64 x x) -9/40 5/2) (-.f64 (fma.f64 (*.f64 x x) -9/40 5/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -9/40) 5/2) 3) (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 6))) (fma.f64 (fma.f64 x (*.f64 x -9/40) 5/2) (-.f64 (fma.f64 x (*.f64 x -9/40) 5/2) (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2)) (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 4))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -9/40) 5/2) 3) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 6))) (fma.f64 (fma.f64 x (*.f64 x -9/40) 5/2) (-.f64 (fma.f64 x (*.f64 x -9/40) 5/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 4))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)) (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3))) (+.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2))) |
(*.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)) (/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)) (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)))) |
(*.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2)) (/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2)) (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)))) |
(*.f64 (+.f64 (fma.f64 (*.f64 9/40 x) x -1/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)) (/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)) (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2))) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -1/2))))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))) (*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))))) |
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(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (+.f64 1 (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)))) (+.f64 -1 (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) 1) (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) 1) (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (fma.f64 9/40 (*.f64 x x) -5/2)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)) (fma.f64 (fma.f64 9/40 (*.f64 x x) -3/2) (fma.f64 9/40 (*.f64 x x) -5/2) 1)) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (fma.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (fma.f64 (*.f64 9/40 x) x -5/2) 1)) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (sqrt.f64 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2))))) (sqrt.f64 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) 1) (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (fma.f64 9/40 (*.f64 x x) -5/2)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)) (fma.f64 (fma.f64 9/40 (*.f64 x x) -3/2) (fma.f64 9/40 (*.f64 x x) -5/2) 1)) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (fma.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (fma.f64 (*.f64 9/40 x) x -5/2) 1)) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))) (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))))) (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) 1) (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (fma.f64 9/40 (*.f64 x x) -5/2)))) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)) (fma.f64 (fma.f64 9/40 (*.f64 x x) -3/2) (fma.f64 9/40 (*.f64 x x) -5/2) 1)) |
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (fma.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (fma.f64 (*.f64 9/40 x) x -5/2) 1)) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2)) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (neg.f64 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))))) |
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (+.f64 -1 (neg.f64 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (fma.f64 9/40 (*.f64 x x) -5/2))))) |
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)) (-.f64 -1 (*.f64 (fma.f64 9/40 (*.f64 x x) -3/2) (fma.f64 9/40 (*.f64 x x) -5/2)))) |
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (+.f64 -1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (fma.f64 x (*.f64 x -9/40) 5/2)))) |
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) |
(fabs.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) |
(fabs.f64 (fma.f64 (*.f64 9/40 x) x -1/2)) |
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(fma.f64 (*.f64 x x) 9/40 -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(fma.f64 1 (*.f64 9/40 (*.f64 x x)) -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(fma.f64 1 (fma.f64 (*.f64 9/40 x) x -3/2) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)) (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) -1/2) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)) 2) (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)) 1) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) -1/2) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 x (*.f64 9/40 x))) -1/2) |
(fma.f64 (*.f64 9/40 x) x -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
Compiled 11796 to 8422 computations (28.6% saved)
13 alts after pruning (3 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 440 | 0 | 440 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 440 | 13 | 453 |
| Status | Error | Program |
|---|---|---|
| ✓ | 32.5b | (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
| ✓ | 32.5b | (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))) |
| ✓ | 49.7b | (/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x)))) |
| ✓ | 34.1b | (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
| ✓ | 56.2b | (-.f64 6/5 (/.f64 3 (*.f64 x x))) |
| ✓ | 30.6b | (+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
| ✓ | 29.9b | (+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1) |
| ✓ | 30.6b | (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) |
| ✓ | 29.9b | (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) |
| ✓ | 32.6b | (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
| 56.6b | 6/5 | |
| 33.8b | 1 | |
| 30.6b | -1/2 |
Compiled 116 to 81 computations (30.2% saved)
| Inputs |
|---|
-1/2 |
1 |
6/5 |
(+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) |
(-.f64 6/5 (/.f64 3 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1) |
(+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
(/.f64 (-.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))) |
(/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x)))) |
| Outputs |
|---|
(/.f64 (-.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) |
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
2 calls:
| 25.0ms | x |
| 6.0ms | (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.5b | 2 | (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
Compiled 153 to 81 computations (47.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 0.004602275056660768 | 3703.500615837302 |
| 22.0ms | -1.3952716274348254 | -0.003829988746926052 |
| 43.0ms | 272× | body | 256 | valid |
Compiled 488 to 314 computations (35.7% saved)
| Inputs |
|---|
-1/2 |
1 |
6/5 |
(+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) |
(-.f64 6/5 (/.f64 3 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1) |
(+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) |
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)) |
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
| Outputs |
|---|
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) |
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
2 calls:
| 25.0ms | x |
| 5.0ms | (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.5b | 2 | (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) |
Compiled 129 to 74 computations (42.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 0.004602275056660768 | 3703.500615837302 |
| 22.0ms | -1.3952716274348254 | -0.003829988746926052 |
| 42.0ms | 272× | body | 256 | valid |
Compiled 456 to 298 computations (34.6% saved)
| Inputs |
|---|
-1/2 |
1 |
6/5 |
(+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) |
(-.f64 6/5 (/.f64 3 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1) |
(+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) |
| Outputs |
|---|
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) |
1 |
1 calls:
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 3 | x |
Compiled 78 to 51 computations (34.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 0.004602275056660768 | 3703.500615837302 |
| 15.0ms | -5.1188129329802035 | -1.3952716274348254 |
| 35.0ms | 224× | body | 256 | valid |
Compiled 296 to 206 computations (30.4% saved)
| Inputs |
|---|
-1/2 |
1 |
6/5 |
(+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) |
(-.f64 6/5 (/.f64 3 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) |
(fma.f64 9/40 (*.f64 x x) -1/2) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) |
1 |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 3 | x |
Compiled 48 to 30 computations (37.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 0.004602275056660768 | 3703.500615837302 |
| 15.0ms | -5.1188129329802035 | -1.3952716274348254 |
| 35.0ms | 224× | body | 256 | valid |
Compiled 266 to 191 computations (28.2% saved)
| Inputs |
|---|
-1/2 |
1 |
6/5 |
(+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) |
(-.f64 6/5 (/.f64 3 (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) |
1 |
1 calls:
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 3 | x |
Compiled 29 to 20 computations (31% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 0.004602275056660768 | 3703.500615837302 |
| 14.0ms | -5.1188129329802035 | -1.3952716274348254 |
| 36.0ms | 224× | body | 256 | valid |
Compiled 182 to 149 computations (18.1% saved)
Total -61.6b remaining (-4376.6%)
Threshold costs -61.6b (-4376.6%)
| Inputs |
|---|
-1/2 |
1 |
6/5 |
| Outputs |
|---|
1 |
-1/2 |
1 |
1 calls:
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.4b | 3 | x |
Compiled 6 to 5 computations (16.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 0.004602275056660768 | 3703.500615837302 |
| 14.0ms | -5.1188129329802035 | -1.3952716274348254 |
| 36.0ms | 224× | body | 256 | valid |
Compiled 98 to 93 computations (5.1% saved)
| 1× | egg-herbie |
| 24× | +-commutative |
| 16× | sub-neg |
| 14× | *-commutative |
| 8× | neg-mul-1 |
| 8× | if-if-or-not |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 403 |
| 1 | 96 | 403 |
| 2 | 108 | 403 |
| 3 | 115 | 403 |
| 4 | 118 | 403 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -1080863910568919/36028797018963968) (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))) (if (<=.f64 x 8070450532247929/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))) |
(if (<=.f64 x -8070450532247929/288230376151711744) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 8070450532247929/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))) |
(if (<=.f64 x -3152519739159347/1125899906842624) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 3321404725185741/1125899906842624) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) 1)) |
(if (<=.f64 x -3) 1 (if (<=.f64 x 3321404725185741/1125899906842624) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) 1)) |
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) 1)) |
(if (<=.f64 x -6980579422424269/4503599627370496) 1 (if (<=.f64 x 6980579422424269/4503599627370496) -1/2 1)) |
-1/2 |
| Outputs |
|---|
(if (<=.f64 x -1080863910568919/36028797018963968) (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))) (if (<=.f64 x 8070450532247929/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))) |
(if (<=.f64 x -1080863910568919/36028797018963968) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) (if (<=.f64 x 8070450532247929/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))) |
(if (<=.f64 x -8070450532247929/288230376151711744) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 8070450532247929/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))) |
(if (or (<=.f64 x -8070450532247929/288230376151711744) (not (<=.f64 x 8070450532247929/288230376151711744))) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2)) |
(if (<=.f64 x -3152519739159347/1125899906842624) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 3321404725185741/1125899906842624) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) 1)) |
(if (<=.f64 x -3152519739159347/1125899906842624) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 3321404725185741/1125899906842624) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2) 1)) |
(if (<=.f64 x -3) 1 (if (<=.f64 x 3321404725185741/1125899906842624) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) 1)) |
(if (<=.f64 x -3) 1 (if (<=.f64 x 3321404725185741/1125899906842624) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2) 1)) |
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) 1)) |
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 -1/2 (*.f64 (*.f64 x x) 9/40)) 1)) |
(if (<=.f64 x -6980579422424269/4503599627370496) 1 (if (<=.f64 x 6980579422424269/4503599627370496) -1/2 1)) |
-1/2 |
Compiled 161 to 109 computations (32.3% saved)
| 4× | egg-herbie |
| 1340× | associate-*r* |
| 1340× | associate-*r* |
| 1178× | associate-*l* |
| 1178× | associate-*l* |
| 1070× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 16 | 27 |
| 2 | 26 | 27 |
| 3 | 44 | 27 |
| 4 | 74 | 27 |
| 5 | 133 | 27 |
| 6 | 281 | 27 |
| 7 | 579 | 27 |
| 8 | 1510 | 27 |
| 9 | 2731 | 27 |
| 10 | 3633 | 27 |
| 11 | 4123 | 27 |
| 12 | 4721 | 27 |
| 13 | 4753 | 27 |
| 14 | 4765 | 27 |
| 15 | 4769 | 27 |
| 16 | 4769 | 27 |
| 0 | 673 | 13241 |
| 1 | 2098 | 13099 |
| 0 | 9 | 27 |
| 1 | 16 | 27 |
| 2 | 26 | 27 |
| 3 | 44 | 27 |
| 4 | 74 | 27 |
| 5 | 133 | 27 |
| 6 | 281 | 27 |
| 7 | 579 | 27 |
| 8 | 1510 | 27 |
| 9 | 2731 | 27 |
| 10 | 3633 | 27 |
| 11 | 4123 | 27 |
| 12 | 4721 | 27 |
| 13 | 4753 | 27 |
| 14 | 4765 | 27 |
| 15 | 4769 | 27 |
| 16 | 4769 | 27 |
| 0 | 673 | 13241 |
| 1 | 2098 | 13099 |
| 1× | node limit |
| 1× | saturated |
| 1× | node limit |
| 1× | saturated |
Compiled 457 to 186 computations (59.3% saved)
Compiled 155 to 93 computations (40% saved)
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